Practice: Set Theory
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Question 1 of 218
1. Question
Shyam visited Ram during his brief vacation. In the mornings they both would go for yoga. In the evenings they would play
tennis. To have more fun, they indulge only in one activity per day, i.e. either they went for yoga or played tennis each day.
There were days when they were lazy and stayed home all day long. There were 24 mornings when they did nothing, 14
evenings when they stayed at home, and a total of 22 days when they did yoga or played tennis. For how many days Shyam
stayed with Ram?CorrectIncorrect 
Question 2 of 218
2. Question
In a class of 120 students numbered 1 to 120, all even numbered students opt for Physics, those whose numbers are divisible by 5 opt for Chemistry and those whose numbers are divisible by 7 opt for Math. How many opt for none of the three subjects?
CorrectIncorrect 
Question 3 of 218
3. Question
A´ is defined as the complement of A, as in, set of all elements that are part of the universal set but not in A. How many of the following have to be true?
i. n(A∪B)′ = n(A′∩B′)
ii. If A∩B = 0, then A′∪B′ is equal to the universal set
iii. If A∪B = universal set, then A′∩B′ should be the null set.
iv. If A⊂B then A′∪B′ = (A∩B)′CorrectIncorrect 
Question 4 of 218
4. Question
n a survey of 100 people, it was found that 60 people read the India Today, 55 read the Outlook and 10 read neither of the two magazines. How many people read both the magazines?
CorrectIncorrect 
Question 5 of 218
5. Question
Answer the question on the basis of the information given below.
Mr. Suzuki, a car dealer, sold cars of only two brands, A and B, in the previous year. This year, he introduced a new brand, C. The number of cars of cars of brand A and brand B sold in the previous year were in the ratio 3:2, and the ratio of the number of cars sold in the previous year to that sold in this year is 2:3 for brand A and 2:5 for brand B. Further, the number of cars of brand C sold this year forms 81% of the total number of cars sold this year. What is the percentage increase in the total number of cars sold this year when compared to the total number of cars sold in the previous year?
CorrectIncorrect 
Question 6 of 218
6. Question
Answer the question on the basis of the information given below.
Mr. Suzuki, a car dealer, sold cars of only two brands, A and B, in the previous year. This year, he introduced a new brand, C. The number of cars of cars of brand A and brand B sold in the previous year were in the ratio 3:2, and the ratio of the number of cars sold in the previous year to that sold in this year is 2:3 for brand A and 2:5 for brand B. Further, the number of cars of brand C sold this year forms 81% of the total number of cars sold this year. In the next year, Mr. Suzuki wants to increase the total sales by 80%, compared to the total sales this year, by keeping the sales of each of A, B and C at the same level as that in this year and introducing a new brand D. By what percent will the number of cars of brand D (to be sold next year) be more than the total number of cars sold last year?
CorrectIncorrect 
Question 7 of 218
7. Question
Answer the question on the basis of the information given below.
Mr. Suzuki, a car dealer, sold cars of only two brands, A and B, in the previous year. This year, he introduced a new brand, C. The number of cars of cars of brand A and brand B sold in the previous year were in the ratio 3:2, and the ratio of the number of cars sold in the previous year to that sold in this year is 2:3 for brand A and 2:5 for brand B. Further, the number of cars of brand C sold this year forms 81% of the total number of cars sold this year. If total of 380 cars were sold this year, and the sales of C this year were nil, instead of 81% of total sales, then how many cars of brand A were sold in the previous year?
CorrectIncorrect 
Question 8 of 218
8. Question
S1 = {2, 4, 6, 8, ……………….. 800}
S2 = {3, 6, 9, 12, ……………… 900}
If S3 = S1∪ S2, then what will be the 105th element of S3 if all its elements are arranged in increasing order?CorrectIncorrect 
Question 9 of 218
9. Question
Read the information given below and answer the question that follow. In order to study the breakfast habits of the people in the city of Longkong, a survey of 400 families was conducted. Of these 400 families, 156 had cereals, 288 had eggs and 300 had toast. It was found that 212 families had egg and toast and 104 had cereal and toast, and 128 had egg and cereal and 84 had all three. In a class of 50 students, 28 like pop music, and 20 like classical music. If 10 students like one of the two kinds of music, find the number of the students who like both kinds of music?
CorrectIncorrect 
Question 10 of 218
10. Question
For constructing the working class consumer price index number of a particular town, the following weights corresponding to different group of items were assigned: Food55, Fuel15, Clothing 10, Rent 8 and Miscellaneous12.
It is known that the rise in food prices is double that of fuel and the rise in miscellaneous group prices is double that of rent. In October 2006, the increased D.A. by a factory of that town by 182% fully compensated for the rise in prices of food and rent but did not compensate for anything else. Another factory of the same locality increased D.A. by 46.5%, which compensated for the rise in fuel and miscellaneous groups.
Which is the correct combination of the rise in prices of food, fuel, rent and miscellaneous groups?CorrectIncorrect 
Question 11 of 218
11. Question
This question is based on the information given below.
The following table provides partial details about the comparison of the increase in the number of applicants among four streams in education viz. Engineering, Medical Science, Commerce and Arts in the year 2008 as compared to the year 2007. The increase in the number of applicants in the Commerce stream in 2008 as compared to 2007 is 70000 and the average number of applicants in the four streams in 2008 is 400000. Assume that these are the only four streams in the education system. In the given table, the number 20000 under the title ‘Commerce’ means that the increase in the number of applicants in the Commerce stream in 2008 as compared to the year 2007 is 20000 less than the corresponding increase in the Engineering stream. All the other data in the table should be interpreted similarly. Which of the following is not true?
CorrectIncorrect 
Question 12 of 218
12. Question
This question is based on the information given below.
The following table provides partial details about the comparison of the increase in the number of applicants among four streams in education viz. Engineering, Medical Science, Commerce and Arts in the year 2008 as compared to the year 2007. The increase in the number of applicants in the Commerce stream in 2008 as compared to 2007 is 70000 and the average number of applicants in the four streams in 2008 is 400000. Assume that these are the only four streams in the education system. In the given table, the number 20000 under the title ‘Commerce’ means that the increase in the number of applicants in the Commerce stream in 2008 as compared to the year 2007 is 20000 less than the corresponding increase in the Engineering stream. All the other data in the table should be interpreted similarly. The total number of applicants in the four given streams in 2007 was
CorrectIncorrect 
Question 13 of 218
13. Question
This question is based on the information given below.
The following table provides partial details about the comparison of the increase in the number of applicants among four streams in education viz. Engineering, Medical Science, Commerce and Arts in the year 2008 as compared to the year 2007. The increase in the number of applicants in the Commerce stream in 2008 as compared to 2007 is 70000 and the average number of applicants in the four streams in 2008 is 400000. Assume that these are the only four streams in the education system. In the given table, the number 20000 under the title ‘Commerce’ means that the increase in the number of applicants in the Commerce stream in 2008 as compared to the year 2007 is 20000 less than the corresponding increase in the Engineering stream. All the other data in the table should be interpreted similarly. The total increase in the number of applicants in the Arts stream in 2008 as compared to 2007 as a percentage (approximate) of the total number of applicants in the four given streams in 2007 is
CorrectIncorrect 
Question 14 of 218
14. Question
Read the information given below and answer the question that follow:
Ghoshbabu is staying at Ghosh Housing Society, Aghosh Colony, Dighoshpur, Calcutta. In Ghosh Housing Society 6 persons read daily Ganashakti and 4 read Anand Bazar Patrika; In his colony there is no person who reads both. Total number of persons who read these two newspapers in Aghosh Colony and Dighoshpur is 52 and 200 respectively. Number of persons who read Ganashakti in Aghosh Colony and Dighoshpur is 33 and 121 respectively; while the persons who read Anand Bazar Patrika in Aghosh Colony and Dighoshpur are 32 and 117 respectively. Number of persons in Dighoshpur who read only Ganashakti is
CorrectIncorrect 
Question 15 of 218
15. Question
Read the information given below and answer the question that follow:
Out of 10,000 persons surveyed, 3,700 liked city A, 4,000 liked city B, and 5,000 liked city C. 700 persons liked city A and B, 1,200 liked A and C, and 1,000 liked city B and C. Each person liked at least one city. Find the number of persons who liked all the three cities. Answer options :
CorrectIncorrect 
Question 16 of 218
16. Question
Read the information given below and answer the question that follow:
Ghoshbabu is staying at Ghosh Housing Society, Aghosh Colony, Dighoshpur, Calcutta. In Ghosh Housing Society 6 persons read daily Ganashakti and 4 read Anand Bazar Patrika; In his colony there is no person who reads both. Total number of persons who read these two newspapers in Aghosh Colony and Dighoshpur is 52 and 200 respectively. Number of persons who read Ganashakti in Aghosh Colony and Dighoshpur is 33 and 121 respectively; while the persons who read Anand Bazar Patrika in Aghosh Colony and Dighoshpur are 32 and 117 respectively. Number of persons in Aghosh Colony who read only one newspaper
CorrectIncorrect 
Question 17 of 218
17. Question
Read the information given below and answer the question that follow:
There are three different cable channels namely Ahead, Luck and Bang. In a survey it was found that 85% of viewers respond to Bang, 20% to Luck, and 30% to Ahead. 20% of viewers respond to exactly two channels and 5% to none. What percentage of the viewers responded to all three?
CorrectIncorrect 
Question 18 of 218
18. Question
There are three different cable channels namely Ahead, Luck and Bang. In a survey it was found that 85% of viewers respond to Bang, 20% to Luck, and 30% to Ahead. 20% of viewers respond to exactly two channels and 5% to none. Assuming 20% respond to Ahead and Bang and 16% respond to Bang and Luck, what is the percentage of viewers who watch only Luck?
CorrectIncorrect 
Question 19 of 218
19. Question
There are three different cable channels namely Ahead, Luck and Bang. In a survey it was found that 85% of viewers respond to Bang, 20% to Luck, and 30% to Ahead. 20% of viewers respond to exactly two channels and 5% to none. In a locality, twothirds of the people have cableTV, onefifth have VCR, and onetenth have both, what is the fraction of people having either cable TV or VCR?
CorrectIncorrect 
Question 20 of 218
20. Question
A survey of 200 people in a community who watched at least one of the three channels — BBC, CNN and DD — showed that 80% of the people watched DD, 22% watched BBC, and 15% watched CNN. What is the maximum percentage of people who can watch all the three channels?
CorrectIncorrect 
Question 21 of 218
21. Question
A survey of 200 people in a community who watched at least one of the three channels — BBC, CNN and DD — showed that 80% of the people watched DD, 22% watched BBC, and 15% watched CNN. If 5% of the people watched DD and CNN, 10% watched DD and BBC, then what per cent of the people watched BBC and CNN only?
CorrectIncorrect 
Question 22 of 218
22. Question
A shop sells three type of products i.e. Pen, Pencil & Notebook. On a survey for checking the sales of each product of the shop he found that the no. of people who bought only pen, only pencil, & only notebook are in A.P. in no particular order. Similarly, the number of people who bought exactly two of the three products are in A.P. too.
It was also found that the no. of people who bought all the products is 1/20th of the number of people who bought pencil only which in turn is equal to half of the number of people who bought notebook only. The number of people that bought both pen & pencil is 15, whereas that of those who bought pencil & notebook is 19. The number of people who bought notebook are 120, which is more than the no. of people who bought pen (which is a 2 digit no above 50). What is the total no people that visits the shop?CorrectIncorrect 
Question 23 of 218
23. Question
In a political survey, 78% of the politicians favour at least one proposal. 50% of them are in favour of proposal A, 30% are in favour of proposal B and 20% are in favour of proposal C. 5% are in favour of all three proposals. What is the percentage of people favouring more than one proposal?
CorrectIncorrect 
Question 24 of 218
24. Question
Of the 200 candidates who were interviewed for a position at a call center, 100 had a twowheeler, 70 had a credit card and 140 had a mobile phone. 40 of them had both, a twowheeler and a credit card, 30 had both, a credit card and a mobile phone and 60 had both, a two wheeler and mobile phone and 10 had all three. How many candidates had none of the three?
CorrectIncorrect 
Question 25 of 218
25. Question
Let ‘f’ be a function from set A to set B for a set, XCB define f^{–1} (X) = {x ∈ A : f(x) ∈ X}{Then which of the following is necessarily true for a subset U of X?
CorrectIncorrect 
Question 26 of 218
26. Question
A and B are two sets (e.g. A = mothers, B = women). The elements that could belong to both the sets (e.g. women who are mothers) is given by the set C = A.B. The elements which could belong to either A or B, or both, is indicated by the set D = A ∪ B.
A set that does not contain any elements is known as null set, represented by ϕ (for example, if none of the women in the set B is a mother, then C = A.B. is a null set, or C = ϕ).
Let ‘V’ signify the set of all vertebrates; ‘M’ the set all mammals; ‘D’ dogs, ‘F’ fish; ‘A’ alsatian and ‘P’, a dog named Pluto. Given that X = M.D is such that X = D, which of the following is true?CorrectIncorrect 
Question 27 of 218
27. Question
A and B are two sets (e.g. A = mothers, B = women). The elements that could belong to both the sets (e.g. women who are mothers) is given by the set C = A.B. The elements which could belong to either A or B, or both, is indicated by the set D = A ∪ B.
A set that does not contain any elements is known as null set, represented by ϕ (for example, if none of the women in the set B is a mother, then C = A.B. is a null set, or C = ϕ).
Let ‘V’ signify the set of all vertebrates; ‘M’ the set all mammals; ‘D’ dogs, ‘F’ fish; ‘A’ alsatian and ‘P’, a dog named Pluto. If Y = F.(D.V), is not a null set, it implies that:CorrectIncorrect 
Question 28 of 218
28. Question
A and B are two sets (e.g. A = mothers, B = women). The elements that could belong to both the sets (e.g. women who are mothers) is given by the set C = A.B. The elements which could belong to either A or B, or both, is indicated by the set D = A ∪ B.
A set that does not contain any elements is known as null set, represented by ϕ (for example, if none of the women in the set B is a mother, then C = A.B. is a null set, or C = ϕ).
Let ‘V’ signify the set of all vertebrates; ‘M’ the set all mammals; ‘D’ dogs, ‘F’ fish; ‘A’ alsatian and ‘P’, a dog named Pluto. If Z = (P.D) ∪ M, thenCorrectIncorrect 
Question 29 of 218
29. Question
A and B are two sets (e.g. A = mothers, B = women). The elements that could belong to both the sets (e.g. women who are mothers) is given by the set C = A.B. The elements which could belong to either A or B, or both, is indicated by the set D = A ∪ B.
A set that does not contain any elements is known as null set, represented by ϕ (for example, if none of the women in the set B is a mother, then C = A.B. is a null set, or C = ϕ).
Let ‘V’ signify the set of all vertebrates; ‘M’ the set all mammals; ‘D’ dogs, ‘F’ fish; ‘A’ alsatian and ‘P’, a dog named Pluto. If P.A = ϕ and P ∪ A = D, then which of the following is true?CorrectIncorrect 
Question 30 of 218
30. Question
Let T be the set of integers {3, 11, 19, 27 …..451, 459, 467} and S be a subset of T such that the sum of no two elements of S is 470. The maximum possible number of elements in S is
CorrectIncorrect 
Question 31 of 218
31. Question
How many even integers n, where 100≤n≤200 , are divisible neither by seven nor by nine?
CorrectIncorrect 
Question 32 of 218
32. Question
Two binary operations ⊕ and * are defined over the set {a, e, f, g, h} as per the following tables: Thus, according to the first table f ⊕ g = a, while according to the second table g*h = f, and so on. Also, let f^{2} = f * f, g^{3} = g * g * g, and so on. What is the smallest positive integer n such that g^{n} = e?
CorrectIncorrect 
Question 33 of 218
33. Question
Two binary operations ⊕ and * are defined over the set {a, e, f, g, h} as per the following tables: Thus, according to the first table f ⊕ g = a, while according to the second table g*h = f, and so on. Also, let f^{2} = f * f, g^{3} = g * g * g, and so on. Upon simplification, f ⊕ [f * {f ⊕ (f * f)}] equals
CorrectIncorrect 
Question 34 of 218
34. Question
Two binary operations ⊕ and * are defined over the set {a, e, f, g, h} as per the following tables: Thus, according to the first table f ⊕ g = a, while according to the second table g*h = f, and so on. Also, let f^{2} = f * f, g^{3} = g * g * g, and so on. Upon simplification {a^{10} * (f^{10} ⊕ g^{9})} ⊕ e^{8} equals
CorrectIncorrect 
Question 35 of 218
35. Question
A survey on a sample of 25 new cars being sold at a local auto dealer was conducted to see which of the three popular options — airconditioning, radio and power windows – were already installed. The survey found
15 had air conditioning
2 had air conditioning and power windows but no radios
12 had radio
6 had airconditioning and radio but no power windows
11 had power windows
4 had radio and power windows
3 had all three options.
What is the number of cars that had none of the options?CorrectIncorrect 
Question 36 of 218
36. Question
70 per cent of the employees in a multinational corporation have VCD players, 75 per cent have microwave ovens, 80 per cent have ACs and 85 per cent have washing machines. At least what percentage of employees has all four gadgets?
CorrectIncorrect 
Question 37 of 218
37. Question
A shop sells three type of products i.e. Pen, Pencil & Notebook. On a survey for checking the sales of each product of the shop he found that the no. of people who bought only pen, only pencil, & only notebook are in A.P. in no particular order. Similarly, the number of people who bought exactly two of the three products are in A.P. too.
It was also found that the no. of people who bought all the products is 1/20th of the number of people who bought pencil only which in turn is equal to half of the number of people who bought notebook only. The number of people that bought both pen & pencil is 15, whereas that of those who bought pencil & notebook is 19. The number of people who bought notebook are 120, which is more than the no. of people who bought pen (which is a 2 digit no above 50). How many people bought both pen and notebook?CorrectIncorrect 
Question 38 of 218
38. Question
At the birthday party of Sherry, a baby boy, 40 persons chose to kiss him and 25 chose to shake hands with him. 10 persons chose to both kiss him and shake hands with him. How many persons turned out at the party?
CorrectIncorrect 
Question 39 of 218
39. Question
In an examination 43% passed in Math, 52% passed in Physics and 52% passed in Chemistry. Only 8% students passed in all the three. 14% passed in Math and Physics and 21% passed in Math and Chemistry and 20% passed in Physics and Chemistry. Number of students who took the exam is 200.
Let Set P, Set C and Set M denotes the students who passed in Physics, Chemistry and Math respectively. Then How many students passed in Math only?CorrectIncorrect 
Question 40 of 218
40. Question
In an examination 43% passed in Math, 52% passed in Physics and 52% passed in Chemistry. Only 8% students passed in all the three. 14% passed in Math and Physics and 21% passed in Math and Chemistry and 20% passed in Physics and Chemistry. Number of students who took the exam is 200.
Let Set P, Set C and Set M denotes the students who passed in Physics, Chemistry and Math respectively. Then Find the ratio of students passing in Math only to the students passing in Chemistry only?CorrectIncorrect 
Question 41 of 218
41. Question
In an examination 43% passed in Math, 52% passed in Physics and 52% passed in Chemistry. Only 8% students passed in all the three. 14% passed in Math and Physics and 21% passed in Math and Chemistry and 20% passed in Physics and Chemistry. Number of students who took the exam is 200.
Let Set P, Set C and Set M denotes the students who passed in Physics, Chemistry and Math respectively. Then What is the ratio of the number of students passing in Physics only to the students passing in either Physics or Chemistry or both?CorrectIncorrect 
Question 42 of 218
42. Question
In an examination 43% passed in Math, 52% passed in Physics and 52% passed in Chemistry. Only 8% students passed in all the three. 14% passed in Math and Physics and 21% passed in Math and Chemistry and 20% passed in Physics and Chemistry. Number of students who took the exam is 200.
Let Set P, Set C and Set M denotes the students who passed in Physics, Chemistry and Math respectively. Then A student is declared pass in the exam only if he/she clears at least two subjects. The number of students who were declared passed in this exam is?CorrectIncorrect 
Question 43 of 218
43. Question
In the Mindworkzz club all the members participate either in the Tambola or the Fete. 320 participate in the Fete, 350 participate in the Tambola and 220 participate in both. How many members does the club have?
CorrectIncorrect 
Question 44 of 218
44. Question
Last year, there were 3 sections in the Catalyst, a mock CAT paper. Out of them 33 students cleared the cutoff in Section 1, 34 students cleared the cutoff in Section 2 and 32 cleared the cutoff in Section 3. 10 students cleared the cutoff in Section 1 and Section 2, 9 cleared the cutoff in Section 2 and Section 3, 8 cleared the cutoff in Section 1 and Section 3. The number of people who cleared each section alone was equal and was 21 for each section. How many cleared all the three sections?
CorrectIncorrect 
Question 45 of 218
45. Question
Last year, there were 3 sections in the Catalyst, a mock CAT paper. Out of them 33 students cleared the cutoff in Section 1, 34 students cleared the cutoff in Section 2 and 32 cleared the cutoff in Section 3. 10 students cleared the cutoff in Section 1 and Section 2, 9 cleared the cutoff in Section 2 and Section 3, 8 cleared the cutoff in Section 1 and Section 3. The number of people who cleared each section alone was equal and was 21 for each section. How many cleared only one of the three sections?
CorrectIncorrect 
Question 46 of 218
46. Question
Last year, there were 3 sections in the Catalyst, a mock CAT paper. Out of them 33 students cleared the cutoff in Section 1, 34 students cleared the cutoff in Section 2 and 32 cleared the cutoff in Section 3. 10 students cleared the cutoff in Section 1 and Section 2, 9 cleared the cutoff in Section 2 and Section 3, 8 cleared the cutoff in Section 1 and Section 3. The number of people who cleared each section alone was equal and was 21 for each section. The ratio of the number of students clearing the cutoff in one or more of the sections to the number of students clearing the cutoff in Section 1 alone is?
CorrectIncorrect 
Question 47 of 218
47. Question
In the Indian athletic squad sent to the Olympics, 21 athletes were in the triathlon team; 26 were in the pentathlon team; and 29 were in the marathon team. 14 athletes can take part in triathlon and pentathlon; 12 can take part in marathon and triathlon; 15 can take part in pentathlon and marathon; and 8 can take part in all the three games. How many players are there in all?
CorrectIncorrect 
Question 48 of 218
48. Question
In the Indian athletic squad sent to the Olympics, 21 athletes were in the triathlon team; 26 were in the pentathlon team; and 29 were in the marathon team. 14 athletes can take part in triathlon and pentathlon; 12 can take part in marathon and triathlon; 15 can take part in pentathlon and marathon; and 8 can take part in all the three games. How many were in the marathon team only?
CorrectIncorrect 
Question 49 of 218
49. Question
In a test in which 120 students appeared, 90 passed in History, 65 passed in Sociology and 75 passed in Political Science. 30 students passed in only one subject and 55 students in only two. 5 students passed no subjects. How many students passed in all the three subjects?
CorrectIncorrect 
Question 50 of 218
50. Question
In a test in which 120 students appeared, 90 passed in History, 65 passed in Sociology and 75 passed in Political Science. 30 students passed in only one subject and 55 students in only two. 5 students passed no subjects. Find the number of students who passed in at least two subjects.
CorrectIncorrect 
Question 51 of 218
51. Question
5% of the passengers who boarded Guwahati New Delhi Rajdhani Express on 20th February, 2002 do not like coffee, tea and ice cream and 10% like all the three. 20% like coffee and tea, 25% like ice cream and coffee and 25% like ice cream and tea. 55% like coffee, 50% like tea and 50% like ice cream. The number of passengers who like only coffee is greater than the passengers who like only ice cream by
CorrectIncorrect 
Question 52 of 218
52. Question
5% of the passengers who boarded Guwahati New Delhi Rajdhani Express on 20th February, 2002 do not like coffee, tea and ice cream and 10% like all the three. 20% like coffee and tea, 25% like ice cream and coffee and 25% like ice cream and tea. 55% like coffee, 50% like tea and 50% like ice cream. The percentage of passengers who like both tea and ice cream but not coffee is
CorrectIncorrect 
Question 53 of 218
53. Question
5% of the passengers who boarded Guwahati New Delhi Rajdhani Express on 20th February, 2002 do not like coffee, tea and ice cream and 10% like all the three. 20% like coffee and tea, 25% like ice cream and coffee and 25% like ice cream and tea. 55% like coffee, 50% like tea and 50% like ice cream. The percentage of passengers who like at least 2 of the 3 products is
CorrectIncorrect 
Question 54 of 218
54. Question
5% of the passengers who boarded Guwahati New Delhi Rajdhani Express on 20th February, 2002 do not like coffee, tea and ice cream and 10% like all the three. 20% like coffee and tea, 25% like ice cream and coffee and 25% like ice cream and tea. 55% like coffee, 50% like tea and 50% like ice cream. If the number of passengers is 180, then the number of passengers who like ice cream only is
CorrectIncorrect 
Question 55 of 218
55. Question
In a survey among students at all the IIMs, it was found that 48% preferred coffee, 54% liked tea and 64% smoked. Of the total, 28% liked coffee and tea, 32% smoked and drank tea and 30% smoked and drank coffee. Only 6% did none of these. If the total number of students is 2000 then find The ratio of the number of students who like only coffee to the number who like only tea is
CorrectIncorrect 
Question 56 of 218
56. Question
In a survey among students at all the IIMs, it was found that 48% preferred coffee, 54% liked tea and 64% smoked. Of the total, 28% liked coffee and tea, 32% smoked and drank tea and 30% smoked and drank coffee. Only 6% did none of these. If the total number of students is 2000 then find Number of students who like coffee and smoking but not tea is
CorrectIncorrect 
Question 57 of 218
57. Question
In a survey among students at all the IIMs, it was found that 48% preferred coffee, 54% liked tea and 64% smoked. Of the total, 28% liked coffee and tea, 32% smoked and drank tea and 30% smoked and drank coffee. Only 6% did none of these. If the total number of students is 2000 then find The percentage of those who like coffee or tea but not smoking among those who like at least one of these is
CorrectIncorrect 
Question 58 of 218
58. Question
In a survey among students at all the IIMs, it was found that 48% preferred coffee, 54% liked tea and 64% smoked. Of the total, 28% liked coffee and tea, 32% smoked and drank tea and 30% smoked and drank coffee. Only 6% did none of these. If the total number of students is 2000 then find The percentage of those who like at least one of these is
CorrectIncorrect 
Question 59 of 218
59. Question
In a survey among students at all the IIMs, it was found that 48% preferred coffee, 54% liked tea and 64% smoked. Of the total, 28% liked coffee and tea, 32% smoked and drank tea and 30% smoked and drank coffee. Only 6% did none of these. If the total number of students is 2000 then find The two items having the ratio 1:2 are
CorrectIncorrect 
Question 60 of 218
60. Question
In a survey among students at all the IIMs, it was found that 48% preferred coffee, 54% liked tea and 64% smoked. Of the total, 28% liked coffee and tea, 32% smoked and drank tea and 30% smoked and drank coffee. Only 6% did none of these. If the total number of students is 2000 then find The number of persons who like coffee and smoking only and the number who like tea only bear a ratio
CorrectIncorrect 
Question 61 of 218
61. Question
In a survey among students at all the IIMs, it was found that 48% preferred coffee, 54% liked tea and 64% smoked. Of the total, 28% liked coffee and tea, 32% smoked and drank tea and 30% smoked and drank coffee. Only 6% did none of these. If the total number of students is 2000 then find Percentage of those who like tea and smoking but not coffee is
CorrectIncorrect 
Question 62 of 218
62. Question
30 monkeys went to a picnic. 25 monkeys chose to irritate cows while 20 chose to irritate buffaloes. How many chose to irritate both buffaloes and cows?
CorrectIncorrect 
Question 63 of 218
63. Question
In the CBSE Board Exams last year, 53% passed in Biology, 61% passed in English, 60% in Social Studies, 24% in Biology & English, 35% in English & Social Studies, 27% in Biology and Social Studies and 5% in none. Percentage of passes in all subjects is
CorrectIncorrect 
Question 64 of 218
64. Question
Set P comprises all multiples of 4 less than 500. Set Q comprises all odd multiples of 7 less than 500, Set R comprises all multiples of 6 less than 500. How many
elements are present in P U Q U R?CorrectIncorrect 
Question 65 of 218
65. Question
In the CBSE Board Exams last year, 53% passed in Biology, 61% passed in English, 60% in Social Studies, 24% in Biology & English, 35% in English & Social Studies, 27% in Biology and Social Studies and 5% in none. If the number of students in the class is 300, what will be the% change in the number of passes in only two subjects, if the original number of students is 200?
CorrectIncorrect 
Question 66 of 218
66. Question
In the CBSE Board Exams last year, 53% passed in Biology, 61% passed in English, 60% in Social Studies, 24% in Biology & English, 35% in English & Social Studies, 27% in Biology and Social Studies and 5% in none. What is the ratio of percentage of passes in Biology and Social Studies but not English in relation to the percentage of passes in Social Studies and English but not Biology?
CorrectIncorrect 
Question 67 of 218
67. Question
How many of the following statements have to be true?
I)No year can have 5 Sundays in the month of May and 5 Thursdays in the month of June.
II)If Fb 14 of a certain year is a Friday, May 14 of the same year cannot be a Thursday
iii. If a year has 53 Sundays, it can have 5 Mondays in the month of May.CorrectIncorrect 
Question 68 of 218
68. Question
In the Quiz held last year, participants were free to choose their respective areas from which they were asked questions. Out of 880 participants, 224 chose Mythology, 240 chose Science and 336 chose Sports, 64 chose both Sports and Science, 80 chose Mythology and Sports, 40 chose Mythology and Science and 24 chose all the three areas. Of those participating, the percentage who choose only one area is
CorrectIncorrect 
Question 69 of 218
69. Question
In the Quiz held last year, participants were free to choose their respective areas from which they were asked questions. Out of 880 participants, 224 chose Mythology, 240 chose Science and 336 chose Sports, 64 chose both Sports and Science, 80 chose Mythology and Sports, 40 chose Mythology and Science and 24 chose all the three areas. Number of participants who chose at least two areas is
CorrectIncorrect 
Question 70 of 218
70. Question
In the Quiz held last year, participants were free to choose their respective areas from which they were asked questions. Out of 880 participants, 224 chose Mythology, 240 chose Science and 336 chose Sports, 64 chose both Sports and Science, 80 chose Mythology and Sports, 40 chose Mythology and Science and 24 chose all the three areas. Which of the following areas shows a ratio of 1:8?
CorrectIncorrect 
Question 71 of 218
71. Question
In the Quiz held last year, participants were free to choose their respective areas from which they were asked questions. Out of 880 participants, 224 chose Mythology, 240 chose Science and 336 chose Sports, 64 chose both Sports and Science, 80 chose Mythology and Sports, 40 chose Mythology and Science and 24 chose all the three areas. The ratio of students choosing Sports & Science but not Mythology to Science but not Mythology & Sports is
CorrectIncorrect 
Question 72 of 218
72. Question
The table here gives the distribution of students according to professional courses. What is the percentage of Math students over English students?
CorrectIncorrect 
Question 73 of 218
73. Question
The table here gives the distribution of students according to professional courses. The average number of females in all the courses is (count people doing fulltime MBA and CA as a separate course)
CorrectIncorrect 
Question 74 of 218
74. Question
The table here gives the distribution of students according to professional courses. The ratio of the number of girls to the number of boys is
CorrectIncorrect 
Question 75 of 218
75. Question
The table here gives the distribution of students according to professional courses. The percentage increase in students of fulltime MBA only over CA only is
CorrectIncorrect 
Question 76 of 218
76. Question
The table here gives the distribution of students according to professional courses. The number of students doing fulltime MBA or CA is
CorrectIncorrect 
Question 77 of 218
77. Question
A newspaper agent sells The TOI, HT and IN in equal numbers to 302 persons. Seven get HT & IN, twelve get The TOI & IN, nine get The TOI & HT and three get all the three newspapers. The details are given in the Venn diagram: How many get only one paper?
CorrectIncorrect 
Question 78 of 218
78. Question
A newspaper agent sells The TOI, HT and IN in equal numbers to 302 persons. Seven get HT & IN, twelve get The TOI & IN, nine get The TOI & HT and three get all the three newspapers. The details are given in the Venn diagram: What percent get The TOI and The HT but not The IN
CorrectIncorrect 
Question 79 of 218
79. Question
A newspaper agent sells The TOI, HT and IN in equal numbers to 302 persons. Seven get HT & IN, twelve get The TOI & IN, nine get The TOI & HT and three get all the three newspapers. The details are given in the Venn diagram: The number of persons buying The TOI and The HT only, The TOI and The IN only and The HT and The IN only are in the ratio of
CorrectIncorrect 
Question 80 of 218
80. Question
A newspaper agent sells The TOI, HT and IN in equal numbers to 302 persons. Seven get HT & IN, twelve get The TOI & IN, nine get The TOI & HT and three get all the three newspapers. The details are given in the Venn diagram: The difference between the number reading The HT and The IN only and HT only is
CorrectIncorrect 
Question 81 of 218
81. Question
A group of 78 people watch Zee TV, Star Plus or Sony. Of these, 36 watch Zee TV, 48 watch Star Plus and 32 watch Sony. If 14 people watch both Zee TV and Star Plus, 20 people watch both Star Plus and Sony, and 12 people watch both Sony and Zee TV find the ratio of the number of people who watch only Zee TV to the number of people who watch only Sony.
CorrectIncorrect 
Question 82 of 218
82. Question
The following data was observed from a study of car complaints received from 180 respondents at Colonel Verma’s car care workshop, viz., engine problem, transmission problem or mileage problem. Of those surveyed, there was no one who faced exactly two of these problems. There were 90 respondents who faced engine problems, 120 who faced transmission problems and 150 who faced mileage problems. How many of them faced all the three problems?
CorrectIncorrect 
Question 83 of 218
83. Question
The following data was observed from a study of car complaints received from 180 respondents at Colonel Verma’s car care workshop, viz., engine problem, transmission problem or mileage problem. Of those surveyed, there was no one who faced exactly two of these problems. There were 90 respondents who faced engine problems, 120 who faced transmission problems and 150 who faced mileage problems. How many of them faced either transmission problems or engine problems?
CorrectIncorrect 
Question 84 of 218
84. Question
At the Rosary Public School, there are 870 students in the senior secondary classes. The school is widely known for its science education and there is the facility for students to do practical training in any of the 4 sciences – viz: Physics, Chemistry, Biology or Social Sciences. Some students in the school however have no interest in the sciences and hence do not undertake practical training in any of the four sciences. While considering the popularity of various choices for opting for practical training for one or more of the choices offered, Mr. Arvindaksham, the school principal noticed something quite extraordinary. He noticed that for every student in the school who opts for practical training in at least M sciences, there are exactly three students who opt for practical training in at least (M – 1) sciences, for M = 2, 3 and 4. He also found that the number of students who opt for all four sciences was half the number of students who opt for none. Can you help him with the answer to “How many students in the school opt for exactly three sciences?”
CorrectIncorrect 
Question 85 of 218
85. Question
A bakery sells three kinds of pastries—pineappple, chocolate and black forest. On a particular day, the bakery owner sold the following number of pastries: 90 pineapple, 120 chocolate and 150 black forest. If none of the customers bought more than two pastries of each type, what is the minimum number of customers that must have visited the bakery that day?
CorrectIncorrect 
Question 86 of 218
86. Question
Gauri Apartment housing society organised annual games, consisting of three games – viz: snooker, badminton and tennis. In all, 510 people were members in the apartments’ society and they were invited to participate in the games — each person participating in as many games as he/she feels like. While viewing the statistics of the performance. Mr Capoor realised the following acts. The number of people who participated in at least two games was 52% more than those who participated in exactly one game. The number of people participating in 1, 2 or 3 games respectively was at least equal to 1. Being a numerically inclined person, he further noticed an interesting thing — the number of people who did not participate in any of the three games was the minimum possible integral value with these conditions. What was the maximum number of people who participated in exactly three games?
CorrectIncorrect 
Question 87 of 218
87. Question
A school has 180 students in its senior section where foreign languages are offered to students as part of their syllabus. The foreign languages offered are: French, German and Chinese and the numbers of people studying each of these subjects are 80, 90 and 100 respectively. The number of students who study more than one of the three subjects is 50% more than the number of students who study all the three subjects. There are no students in the school who study none of the three subjects. Then how many students study all three foreign languages?
CorrectIncorrect 
Question 88 of 218
88. Question
In the second year, the Hampard Business School students are offered a choice of the specialisations they wish to study from amongst only three specialisations —Marketing, Finance and HR. The number of students who have specialised in only Marketing, only Finance and only HR are all numbers in an Arithmetic Progression— in no particular order. Similarly, the number of students specialising in exactly two of the three types of subjects are also numbers that form an Arithmetic Progression.
The number of students specialising in all three subjects is onetwentieth of the number of students specialising in only Finance which in turn is half of the number of students studying only HR. The number of students studying both Marketing and Finance is 15, whereas the number of students studying both Finance and HR is 19. The number of students studying HR is 120, which is more than the number of students studying Marketing (which is a 2 digit number above 50). It is known that there are exactly 4 students who opt for none of these specialisations and opt only for general subjects. What is the total number of students in the batch?CorrectIncorrect 
Question 89 of 218
89. Question
In the second year, the Hampard Business School students are offered a choice of the specialisations they wish to study from amongst only three specialisations —Marketing, Finance and HR. The number of students who have specialised in only Marketing, only Finance and only HR are all numbers in an Arithmetic Progression— in no particular order. Similarly, the number of students specialising in exactly two of the three types of subjects are also numbers that form an Arithmetic Progression.
The number of students specialising in all three subjects is onetwentieth of the number of students specialising in only Finance which in turn is half of the number of students studying only HR. The number of students studying both Marketing and Finance is 15, whereas the number of students studying both Finance and HR is 19. The number of students studying HR is 120, which is more than the number of students studying Marketing (which is a 2 digit number above 50). It is known that there are exactly 4 students who opt for none of these specialisations and opt only for general subjects. What is the number of students specialising in both Marketing and HR?CorrectIncorrect 
Question 90 of 218
90. Question
In the Pattbhiraman family, a clan of 192 individuals, each person has at least one of the three Pattabhiraman characteristics—Blue eyes, Blonde hair, and sharp mind.
It is also known that:
(i) The number of family members who have only blue eyes is equal to the number of family members who have only sharp minds and this number is also equal to twice the number of family members who have blue eyes and sharp minds but not blonde hair.
(ii) The number of family members who have exactly two of the three features is 50.
(iii) The number of family members who have blonde hair is 62.
(iv) Among those who have blonde hair, 26 family members have at least two of the three characteristics. If the number of family members who have blue eyes is the maximum amongst the three characteristics, then what is the maximum possible number of family members who have both sharp minds and blonde hair but do not have blue eyes?CorrectIncorrect 
Question 91 of 218
91. Question
In the Pattbhiraman family, a clan of 192 individuals, each person has at least one of the three Pattabhiraman characteristics—Blue eyes, Blonde hair, and sharp mind.
It is also known that:
(i) The number of family members who have only blue eyes is equal to the number of family members who have only sharp minds and this number is also equal to twice the number of family members who have blue eyes and sharp minds but not blonde hair.
(ii) The number of family members who have exactly two of the three features is 50.
(iii) The number of family members who have blonde hair is 62.
(iv) Among those who have blonde hair, 26 family members have at least two of the three characteristics. Which additional piece of information is required to find the exact number of family members who have blonde hair and blue eyes but not sharp minds?CorrectIncorrect 
Question 92 of 218
92. Question
In a class of 97 students, each student plays at least one of the three games – Hockey, Cricket and Football. If 47 play Hockey, 53 play Cricket, 72 play Football and 15 play all the three games, what is the number of students who play exactly two games?
CorrectIncorrect 
Question 93 of 218
93. Question
CorrectIncorrect 
Question 94 of 218
94. Question
In a referendum about three proposals, 78% of the people were against at least one of the proposals, 50% of the people were against 1st proposal, 30% of the people were against 2nd proposal, and 20% of the people were against 3rd proposal. If 5% of the people were against all the three proposals, what percentage of people were against more than one of the three proposals?
CorrectIncorrect 
Question 95 of 218
95. Question
In a recent survey conducted by Cable TV Association among the people who watch DD, Zee, and Star TV, it is found that 80% of the people watched DD, 22% watched Star TV, and 15% watched Zee. What is the maximum percentage of people who can watch all the three channels?
CorrectIncorrect 
Question 96 of 218
96. Question
Eighty thousand students appeared in the last year’s CAT consisting of three sections QA, DI, and EU. Twentyfour thousand students passed in QA; 31,000 students passed in DI; 35,000 students passed in EU. Further, 49,000 students passed in at least one of QA and DI; 59,000 students passed in at least one of DI and EU; 54,000 students passed in at least one of QA and EU. Calls for IIMs are sent to only those students who passed in all the three sections in CAT. If only 2000 students got the IIM calls, then what is the number of students who failed in all the three papers (either you can pass or fail)?
CorrectIncorrect 
Question 97 of 218
97. Question
Consider a universal set U = {1, 2, 3, 4…..10}
Set P = {x  x is a prime number}
Set (E) = {2, 4, 6, 8, 10}
Set (O) = { 1, 3, 5, 7, 9}
Set (C) = {x  x is a composite number} How many elements does P’ or Pc has, or find
n(P’)CorrectIncorrect 
Question 98 of 218
98. Question
Consider a universal set U = {1, 2, 3, 4…..10}
Set P = {x  x is a prime number}
Set (E) = {2, 4, 6, 8, 10}
Set (O) = { 1, 3, 5, 7, 9}
Set (C) = {x  x is a composite number} Find the number of elements in E – C,CorrectIncorrect 
Question 99 of 218
99. Question
Consider a universal set U = {1, 2, 3, 4…..10}
Set P = {x  x is a prime number}
Set (E) = {2, 4, 6, 8, 10}
Set (O) = { 1, 3, 5, 7, 9}
Set (C) = {x  x is a composite number} Find the number of elements in P U OCorrectIncorrect 
Question 100 of 218
100. Question
Consider a universal set U = {1, 2, 3, 4…..10}
Set P = {x  x is a prime number}
Set (E) = {2, 4, 6, 8, 10}
Set (O) = { 1, 3, 5, 7, 9}
Set (C) = {x  x is a composite number} Find the number of elements in P n OCorrectIncorrect 
Question 101 of 218
101. Question
Consider a universal set U = {1, 2, 3, 4…..10}
Set P = {x  x is a prime number}
Set (E) = {2, 4, 6, 8, 10}
Set (O) = { 1, 3, 5, 7, 9}
Set (C) = {x  x is a composite number} Find the number of elements in power set of set ECorrectIncorrect 
Question 102 of 218
102. Question
If in Praxis Business school 40 students like chocolate while 30 like cake, if there are 10 students
who like both and an equal number of students who like none of them. Find the total number of students at Praxis Business School.CorrectIncorrect 
Question 103 of 218
103. Question
If in Praxis Business school 40 students like chocolate while 30 like cake, if there are 10 students
who like both and an equal number of students who like none of them. What percentage of students do not like cake?CorrectIncorrect 
Question 104 of 218
104. Question
If in Praxis Business school 40 students like chocolate while 30 like cake, if there are 10 students
who like both and an equal number of students who like none of them. A dinner party is to be f xed for a group of
100 persons. In this party, 50 persons do not
prefer fish, 60 prefer chicken and 10 do not
prefer either chicken or fish. The number of
persons who prefer both fish and chicken is.CorrectIncorrect 
Question 105 of 218
105. Question
If in Praxis Business school 40 students like chocolate while 30 like cake, if there are 10 students
who like both and an equal number of students who like none of them. In an examination, 62% of the candidates failed in English, 42% in Mathematics and
20% in both. The number of those who passed in both the subjects is.CorrectIncorrect 
Question 106 of 218
106. Question
If in Praxis Business school 40 students like chocolate while 30 like cake, if there are 10 students
who like both and an equal number of students who like none of them. In a market research project, 20% opted for ‘Nirma’ detergent whereas 60% opted for ‘Surf blue’ detergent. The remaining individuals were not certain. If the difference between those who opted for ‘Surf blue’ and those who were uncertain was 720, how many respondents were covered in the surveyCorrectIncorrect 
Question 107 of 218
107. Question
If in Praxis Business school 40 students like chocolate while 30 like cake, if there are 10 students
who like both and an equal number of students who like none of them. If X and Y are two sets such that (X È Y) has 60 elements, X has 38 elements and Y has 42
elements, how many elements does (X Ç Y) have?CorrectIncorrect 
Question 108 of 218
108. Question
If in Praxis Business school 40 students like chocolate while 30 like cake, if there are 10 students
who like both and an equal number of students who like none of them. In a B School there are 15 teachers who teach
marketing or finance. Of these, 8 teach finance
and 4 teach both marketing and finance. How
many teach marketing but not finance?CorrectIncorrect 
Question 109 of 218
109. Question
If in Praxis Business school 40 students like chocolate while 30 like cake, if there are 10 students
who like both and an equal number of students who like none of them. In a school 50 students play cricket, 70 play football while 30 play none of the games, If
total number of students are 100 then how many of them Play only cricketCorrectIncorrect 
Question 110 of 218
110. Question
In a school 80 students like chocolate, 40 like coffee if the number of students doesn’t like any of them is equal to the number of students who like both of them then what is
the total number of students in the school?CorrectIncorrect 
Question 111 of 218
111. Question
If in Praxis Business school 40 students like chocolate while 30 like cake, if there are 10 students
who like both and an equal number of students who like none of them. There are 200 students in a B school, 120 have been taken in project of finance, 50 in project of marketing and 30 in both the marketing and finance. Find the number of students
worked on marketing but not on financeCorrectIncorrect 
Question 112 of 218
112. Question
If in Praxis Business school 40 students like chocolate while 30 like cake, if there are 10 students
who like both and an equal number of students who like none of them. In a school there are 100 students 60 of them don’t like Chocolate and 50 don’t like Biscuit
and 10 of them like none then how many of them like both?CorrectIncorrect 
Question 113 of 218
113. Question
An Airline Company has divided the potential market into three categories through a market
survey for the purpose of implementing a Customer Relationship Management Programme. The
rectangle given in the diagram below represents Economy Class passengers. The circle represents
working Executives and the triangle represents the Indians. A signature hotel is launching a service for Executives who travel Economy Class but
are not Indians. Which segments should it concentrate in the diagram above?CorrectIncorrect 
Question 114 of 218
114. Question
An Airline Company has divided the potential market into three categories through a market
survey for the purpose of implementing a Customer Relationship Management Programme. The
rectangle given in the diagram below represents Economy Class passengers. The circle represents
working Executives and the triangle represents the Indians. A travel agency wishes to target passengers who are Executives and travel by EconomyClass. Which segments in the diagram should it aim?
CorrectIncorrect 
Question 115 of 218
115. Question
An Airline Company has divided the potential market into three categories through a market
survey for the purpose of implementing a Customer Relationship Management Programme. The
rectangle given in the diagram below represents Economy Class passengers. The circle represents
working Executives and the triangle represents the Indians. The Airline Company wishes to target Economy Class, nonExecutive passengers
for Inflight Duty Free Shopping. Which area must it focus on?CorrectIncorrect 
Question 116 of 218
116. Question
In the diagram below, the circle stands for educated‘, square stands for hard working‘, triangle for urban
people ‘and rectangle for honest‘. The different regions of the diagram are numbered from 1 to 12. Study the
diagram carefully and answer the questions: Uneducated urban hardworking an honest people are indicated by:
CorrectIncorrect 
Question 117 of 218
117. Question
In the diagram below, the circle stands for educated‘, square stands for hard working‘, triangle for urban
people ‘and rectangle for honest‘. The different regions of the diagram are numbered from 1 to 12. Study the
diagram carefully and answer the questions: Nonurban educated people who are neither hardworking nor honest are indicated by:
CorrectIncorrect 
Question 118 of 218
118. Question
The Venn diagram given below shows the estimated readership of 3 daily newspapers (X, Y & Z) in a city. The total readership and advertising cost
for eac h of th e papers is as below : The total population of the city is estimated to be 14 million. The common readership (in lakhs) is
indicated I the given Venn diagram. The number of people (in Lakhs) who read at least one newspaper isCorrectIncorrect 
Question 119 of 218
119. Question
A survey was conducted of 100 people whether
they have read recent issues of ‘Golmal’, a monthly
magazine. Summarized in formation is presented
below:
Only September:18
September but not August: 23
September and July: 8
September: 28
July: 48
July and August: 10
None of the three months: 24 What is the number of surveyed people who have read exactly for two consecutive
months?CorrectIncorrect 
Question 120 of 218
120. Question
A survey was conducted of 100 people whether
they have read recent issues of ‘Golmal’, a monthly
magazine. Summarized in formation is presented
below:
Only September:18
September but not August: 23
September and July: 8
September: 28
July: 48
July and August: 10
None of the three months: 24 In 2002, according to a news poll, 36% of the voters had leaning towards party “Y”. In 2004, this gure rose to 46%. But in another survey the percentage was down to 40%. Therefore, the party “Z” is likely to win the next election. Which of the following, if true, would seriously weaken the above conclusion?CorrectIncorrect 
Question 121 of 218
121. Question
TT School of Management is a management
institute involved in teaching, training and
research. Currently it has 37 faculty members.
They are involved in three jobs: teaching, training
and research. Each faculty member working with
TT School of Management has to be involved in
atleast one of the three jobs mentioned above:
A maximum number of faculty members are
involved in training. Among them, a number
of faculty members are having additional
involvement in the research. The number of faculty members in research
alone is double the number of faculty members
involved in all the three jobs. The number of faculty members involved in
teaching alone is less than the number of
faculty members involved in research alone. Ten faculty member involved in the teaching
are also involved in at least one more job. After some time, the faculty members who were involved in all the three tasks were
asked to withdraw from one task. As a result, one of the faculty member each opted out of teaching and research, while remaining ones involved in all the three tasks opted out of training. Which one of the following statements, then necessarily follows:CorrectIncorrect 
Question 122 of 218
122. Question
TT School of Management is a management
institute involved in teaching, training and
research. Currently it has 37 faculty members.
They are involved in three jobs: teaching, training
and research. Each faculty member working with
TT School of Management has to be involved in
atleast one of the three jobs mentioned above:
A maximum number of faculty members are
involved in training. Among them, a number
of faculty members are having additional
involvement in the research. The number of faculty members in research
alone is double the number of faculty members
involved in all the three jobs. The number of faculty members involved in
teaching alone is less than the number of
faculty members involved in research alone. Ten faculty member involved in the teaching
are also involved in at least one more job. Based on the information given above, the minimum number of faculty members
involved in both training and teaching, but not in research is:CorrectIncorrect 
Question 123 of 218
123. Question
TT School of Management is a management
institute involved in teaching, training and
research. Currently it has 37 faculty members.
They are involved in three jobs: teaching, training
and research. Each faculty member working with
TT School of Management has to be involved in
atleast one of the three jobs mentioned above:
A maximum number of faculty members are
involved in training. Among them, a number
of faculty members are having additional
involvement in the research. The number of faculty members in research
alone is double the number of faculty members
involved in all the three jobs. The number of faculty members involved in
teaching alone is less than the number of
faculty members involved in research alone. Ten faculty member involved in the teaching
are also involved in at least one more job. A survey shows that 61 %, 46% and 29% of the people watched “3 idiots”, “Rajneeti” and “Avatar” respectively. 25% people watched exactly two of the three movies and 3% watched none. What percentage of people watched all the three movies?CorrectIncorrect 
Question 124 of 218
124. Question
A professor keeps data on students tabulated by
performance and sex of the student. The data is
kept on a computer disk, but unfortunately some
of it is lost because of a virus. Only the following
could be recovered: Panic buttons were pressed but to no avail. An
expert committee was formed, which decided
that the following facts were selfevident: Half
the students were either excellent or good. 40% of
the students were females. One third of the male
students were average. How many students are both female and excellent?CorrectIncorrect 
Question 125 of 218
125. Question
A professor keeps data on students tabulated by
performance and sex of the student. The data is
kept on a computer disk, but unfortunately some
of it is lost because of a virus. Only the following
could be recovered: Panic buttons were pressed but to no avail. An
expert committee was formed, which decided
that the following facts were selfevident: Half
the students were either excellent or good. 40% of
the students were females. One third of the male
students were average. What proportion of good students are male?CorrectIncorrect 
Question 126 of 218
126. Question
A professor keeps data on students tabulated by
performance and sex of the student. The data is
kept on a computer disk, but unfortunately some
of it is lost because of a virus. Only the following
could be recovered: Panic buttons were pressed but to no avail. An
expert committee was formed, which decided
that the following facts were selfevident: Half
the students were either excellent or good. 40% of
the students were females. One third of the male
students were average. What proportion of female students are good?CorrectIncorrect 
Question 127 of 218
127. Question
A professor keeps data on students tabulated by
performance and sex of the student. The data is
kept on a computer disk, but unfortunately some
of it is lost because of a virus. Only the following
could be recovered: Panic buttons were pressed but to no avail. An
expert committee was formed, which decided
that the following facts were selfevident: Half
the students were either excellent or good. 40% of
the students were females. One third of the male
students were average. How many students are both male and good?CorrectIncorrect 
Question 128 of 218
128. Question
A professor keeps data on students tabulated by
performance and sex of the student. The data is
kept on a computer disk, but unfortunately some
of it is lost because of a virus. Only the following
could be recovered: Panic buttons were pressed but to no avail. An
expert committee was formed, which decided
that the following facts were selfevident: Half
the students were either excellent or good. 40% of
the students were females. One third of the male
students were average. Among average students, what is the ratio of male to female?CorrectIncorrect 
Question 129 of 218
129. Question
New Age Consultants have three consultants
Gyani, Medha and Buddhi, The sum of the
number of projects handled by Gyani and Buddhi
individually is equal to the number of projects in
which Medha is involved. All three consultants are
involved together in 6 projects. Gyani works with
Medha in 14 projects. Buddhi has 2 projects with
Medha but without Gyani, and 3 projects with
Gyani but without Medha. The total number of
projects for New Age Consultants is one less than
twice the number of projects in which more than
one consultant is involved. What is the number of projects in which Gyani alone is involved?CorrectIncorrect 
Question 130 of 218
130. Question
Help Distress (HD) is an NGO involved in providing
assistance to people suffering from natural
disasters. Currently, it has 37 volunteers. They
are involved in three projects: Tsunami Relief (TR)
in Tamil Nadu, Flood Relief (FR) in Maharashtra,
and Earthquake (ER) in Gujarat. Each volunteer
working with Help Distress has to be involved in
at least one relief work project.
A Maximum number of volunteers are involved
in the FR project. Among them, the number of
volunteers involved in FR project alone is equal to
the volunteers having additional involvement in
the ER project.
The number of volunteers involved in the ER
project alone is double the number of volunteers
involved in all the three projects.
17 volunteers are involved in the TR project.
The number of volunteers involved in the TR project
alone is one less than the number of volunteers
involved in ER project alone.
Ten volunteers involved in the TR project are also
involved in at least one more project.
[ Based on the information given above, the minimum number of volunteers involved in
both FR and TR projects, but not in the ER project is:CorrectIncorrect 
Question 131 of 218
131. Question
Help Distress (HD) is an NGO involved in providing
assistance to people suffering from natural
disasters. Currently, it has 37 volunteers. They
are involved in three projects: Tsunami Relief (TR)
in Tamil Nadu, Flood Relief (FR) in Maharashtra,
and Earthquake (ER) in Gujarat. Each volunteer
working with Help Distress has to be involved in
at least one relief work project.
A Maximum number of volunteers are involved
in the FR project. Among them, the number of
volunteers involved in FR project alone is equal to
the volunteers having additional involvement in
the ER project.
The number of volunteers involved in the ER
project alone is double the number of volunteers
involved in all the three projects.
17 volunteers are involved in the TR project.
The number of volunteers involved in the TR project
alone is one less than the number of volunteers
involved in ER project alone.
Ten volunteers involved in the TR project are also
involved in at least one more project.
[ Which of the following additional information would enable to find the exact number of
volunteers involved in various projects?CorrectIncorrect 
Question 132 of 218
132. Question
Help Distress (HD) is an NGO involved in providing
assistance to people suffering from natural
disasters. Currently, it has 37 volunteers. They
are involved in three projects: Tsunami Relief (TR)
in Tamil Nadu, Flood Relief (FR) in Maharashtra,
and Earthquake (ER) in Gujarat. Each volunteer
working with Help Distress has to be involved in
at least one relief work project.
A Maximum number of volunteers are involved
in the FR project. Among them, the number of
volunteers involved in FR project alone is equal to
the volunteers having additional involvement in
the ER project.
The number of volunteers involved in the ER
project alone is double the number of volunteers
involved in all the three projects.
17 volunteers are involved in the TR project.
The number of volunteers involved in the TR project
alone is one less than the number of volunteers
involved in ER project alone.
Ten volunteers involved in the TR project are also
involved in at least one more project.
After some time, the volunteers who were involved in all the three projects were asked
to withdraw from one project. As a result, one of the volunteers opted out of the TR project, and one opted out of the ER project, while the remaining ones involved in all the three projects opted out of the FR project. Which of the following statements, then, necessarily follows?CorrectIncorrect 
Question 133 of 218
133. Question
Help Distress (HD) is an NGO involved in providing
assistance to people suffering from natural
disasters. Currently, it has 37 volunteers. They
are involved in three projects: Tsunami Relief (TR)
in Tamil Nadu, Flood Relief (FR) in Maharashtra,
and Earthquake (ER) in Gujarat. Each volunteer
working with Help Distress has to be involved in
at least one relief work project.
A Maximum number of volunteers are involved
in the FR project. Among them, the number of
volunteers involved in FR project alone is equal to
the volunteers having additional involvement in
the ER project.
The number of volunteers involved in the ER
project alone is double the number of volunteers
involved in all the three projects.
17 volunteers are involved in the TR project.
The number of volunteers involved in the TR project
alone is one less than the number of volunteers
involved in ER project alone.
Ten volunteers involved in the TR project are also
involved in at least one more project.
After the withdrawal of volunteers, as indicated in Question 42, some new
volunteers joined the NGO. Each one of them was allotted only one project in a manner
such that, the number of volunteers working in one project alone for each of the three
projects became identical. At that point, it was also found that the number of volunteers
involved in FR and ER projects was the same as the number of volunteers involved in TR
and ER projects. Which of the projects now has the highest number of volunteers?CorrectIncorrect 
Question 134 of 218
134. Question
The proportion of male students and the proportion of
vegetarian students in a school are given below. The school
has a total of 800 students, 80% of whom are in the Secondary
Section and rest equally divided between Class 11 and 12. What is the percentage of vegetarian students in Class 12?CorrectIncorrect 
Question 135 of 218
135. Question
The proportion of male students and the proportion of
vegetarian students in a school are given below. The school
has a total of 800 students, 80% of whom are in the Secondary
Section and rest equally divided between Class 11 and 12. In Class 12, twenty five per cent of vegetarians are male. What is the difference between the
number of female vegetarians and male non vegetarians?CorrectIncorrect 
Question 136 of 218
136. Question
The proportion of male students and the proportion of
vegetarian students in a school are given below. The school
has a total of 800 students, 80% of whom are in the Secondary
Section and rest equally divided between Class 11 and 12. What is the percentage of male students in the secondary section?CorrectIncorrect 
Question 137 of 218
137. Question
The proportion of male students and the proportion of
vegetarian students in a school are given below. The school
has a total of 800 students, 80% of whom are in the Secondary
Section and rest equally divided between Class 11 and 12. In the Secondary Section, 50 % of the students are vegetarian males. Which of the following
statements is correct?CorrectIncorrect 
Question 138 of 218
138. Question
In Praxis Business School Kolkata 60 1st year students participated either in Marketing quiz
(MQ) or in Finance quiz (FQ) some information is as follows
No girl student participated in both MQ and FQ
40 % students are girls out of which 75% has work
experience.
60 % students have work experience of which one
third participated in only MQ.
The number of boys students with work experience
participated in only MQ is 8.
8 number of girl students participated in only MQ
12 fresher students (without work experience)
participated in only FQ. What is the maximum percentage of boys participated in only FQ?CorrectIncorrect 
Question 139 of 218
139. Question
In Praxis Business School Kolkata 60 1st year students participated either in Marketing quiz
(MQ) or in Finance quiz (FQ) some information is as follows
No girl student participated in both MQ and FQ
40 % students are girls out of which 75% has work
experience.
60 % students have work experience of which one
third participated in only MQ.
The number of boys students with work experience
participated in only MQ is 8.
8 number of girl students participated in only MQ
12 fresher students (without work experience)
participated in only FQ. If K is the ratio of students participated in only MQ to that participated in only FQ then
find the range of KCorrectIncorrect 
Question 140 of 218
140. Question
In Praxis Business School Kolkata 60 1st year students participated either in Marketing quiz
(MQ) or in Finance quiz (FQ) some information is as follows
No girl student participated in both MQ and FQ
40 % students are girls out of which 75% has work
experience.
60 % students have work experience of which one
third participated in only MQ.
The number of boys students with work experience
participated in only MQ is 8.
8 number of girl students participated in only MQ
12 fresher students (without work experience)
participated in only FQ. Find the minimum and maximum number of students who participated in only MQ.CorrectIncorrect 
Question 141 of 218
141. Question
In Praxis Business School Kolkata 60 1st year students participated either in Marketing quiz
(MQ) or in Finance quiz (FQ) some information is as follows
No girl student participated in both MQ and FQ
40 % students are girls out of which 75% has work
experience.
60 % students have work experience of which one
third participated in only MQ.
The number of boys students with work experience
participated in only MQ is 8.
8 number of girl students participated in only MQ
12 fresher students (without work experience)
participated in only FQ. What could be the number of fresher boys participated only in FQCorrectIncorrect 
Question 142 of 218
142. Question
In Praxis Business School Kolkata 60 1st year students participated either in Marketing quiz
(MQ) or in Finance quiz (FQ) some information is as follows
No girl student participated in both MQ and FQ
40 % students are girls out of which 75% has work
experience.
60 % students have work experience of which one
third participated in only MQ.
The number of boys students with work experience
participated in only MQ is 8.
8 number of girl students participated in only MQ
12 fresher students (without work experience)
participated in only FQ. What could be the ratio of number of boys with work experience to the number of girls
without work experience participated in only FQ?CorrectIncorrect 
Question 143 of 218
143. Question
In a society 60 family read Times Of India (TOI), 70
read Hindustan Times HT), and 40 read Telegraph
(Tel). 10 family read both HT and Tel but not TOI,
18 family read HT & TOI, number of family who
read only TOI & Tel but not HT is 10 less than
the number of family who read all the three news
paper. What could be the total number of family in the society assuming that each family read
at least one news paper?CorrectIncorrect 
Question 144 of 218
144. Question
In a society 60 family read Times Of India (TOI), 70
read Hindustan Times HT), and 40 read Telegraph
(Tel). 10 family read both HT and Tel but not TOI,
18 family read HT & TOI, number of family who
read only TOI & Tel but not HT is 10 less than
the number of family who read all the three news
paper. If number of family who read both TOI and HT but not Tel is more than the number of family who read both TOI and Tel but not HT then what could be the number of family who read only Tel?CorrectIncorrect 
Question 145 of 218
145. Question
In a society 60 family read Times Of India (TOI), 70
read Hindustan Times HT), and 40 read Telegraph
(Tel). 10 family read both HT and Tel but not TOI,
18 family read HT & TOI, number of family who
read only TOI & Tel but not HT is 10 less than
the number of family who read all the three news
paper. If on a particular day HT was not available
so those who read only HT shifted to either
TOI or Tel such that number of family who
read only TOI and only Tel, become equal
then find the ratio of number of families who
shifted to TOI to the number of family who
shifted to Tel.CorrectIncorrect 
Question 146 of 218
146. Question
In a society 60 family read Times Of India (TOI), 70
read Hindustan Times HT), and 40 read Telegraph
(Tel). 10 family read both HT and Tel but not TOI,
18 family read HT & TOI, number of family who
read only TOI & Tel but not HT is 10 less than
the number of family who read all the three news
paper. If T, H and L is the number of family who read only TOI, HT and Tel respectively then which
one of the following is correct relationCorrectIncorrect 
Question 147 of 218
147. Question
In a society 60 family read Times Of India (TOI), 70
read Hindustan Times HT), and 40 read Telegraph
(Tel). 10 family read both HT and Tel but not TOI,
18 family read HT & TOI, number of family who
read only TOI & Tel but not HT is 10 less than
the number of family who read all the three news
paper. If P is the number of family who read exactly two news paper then which of the following
is true about P.CorrectIncorrect 
Question 148 of 218
148. Question
In Praxis Business School Kolkata, 8 friends A, B,
C, D, E, F, G & H have interest in one or more of
the three subjects Marketing, Finance and HR. No
two students like the same set of subjects. Further
known facts are as follows –
A like all the three subjects.
Pair of students (B, C) , (D, E) (G H) (B, D) and (F,
G) have no common subjects i.e B and C have not
common subjects and so on.
F likes only HR.
H like none of the subjects.per. Which of the following pair of students don’t like Mkt.CorrectIncorrect 
Question 149 of 218
149. Question
In Praxis Business School Kolkata, 8 friends A, B,
C, D, E, F, G & H have interest in one or more of
the three subjects Marketing, Finance and HR. No
two students like the same set of subjects. Further
known facts are as follows –
A like all the three subjects.
Pair of students (B, C) , (D, E) (G H) (B, D) and (F,
G) have no common subjects i.e B and C have not
common subjects and so on.
F likes only HR.
H like none of the subjects.per. Which of the following could be students who like Finance?CorrectIncorrect 
Question 150 of 218
150. Question
In Praxis Business School Kolkata, 8 friends A, B,
C, D, E, F, G & H have interest in one or more of
the three subjects Marketing, Finance and HR. No
two students like the same set of subjects. Further
known facts are as follows –
A like all the three subjects.
Pair of students (B, C) , (D, E) (G H) (B, D) and (F,
G) have no common subjects i.e B and C have not
common subjects and so on.
F likes only HR.
H like none of the subjects.per. Which of the following student passed in exactly two subjects?CorrectIncorrect 
Question 151 of 218
151. Question
In Praxis Business School Kolkata, 8 friends A, B,
C, D, E, F, G & H have interest in one or more of
the three subjects Marketing, Finance and HR. No
two students like the same set of subjects. Further
known facts are as follows –
A like all the three subjects.
Pair of students (B, C) , (D, E) (G H) (B, D) and (F,
G) have no common subjects i.e B and C have not
common subjects and so on.
F likes only HR.
H like none of the subjects.per. Which of the following statement require to find liking and disliking of each and every
subjects.
(I)There is 1 student who don’t like a single subject. (ii)B and E have a common subject in liking. (III)D and C have a common subject in liking.CorrectIncorrect 
Question 152 of 218
152. Question
In Praxis Business School Kolkata, 8 friends A, B,
C, D, E, F, G & H have interest in one or more of
the three subjects Marketing, Finance and HR. No
two students like the same set of subjects. Further
known facts are as follows –
A like all the three subjects.
Pair of students (B, C) , (D, E) (G H) (B, D) and (F,
G) have no common subjects i.e B and C have not
common subjects and so on.
F likes only HR.
H like none of the subjects.per. If G don’t like Mktany more and F likes Mkt and no other change happen then which of
the following is set of students like same subject?CorrectIncorrect 
Question 153 of 218
153. Question
In a school students at Pioneer career Kolkata
wrote Mock test which has three subjects DI, VA
and QA, here is the result of these students.
80 students cleared cut off in DI, 70 in VA and 60
in QA.
Only 40 students cleared all the three subjects.
10 students failed to clear cut off even in one
subjects.
50 students cleared cut off in VA and QA.
5 students cleared in cut off in only QA. What is the minimum number of students who appeared in the Mock test.CorrectIncorrect 
Question 154 of 218
154. Question
In a school students at Pioneer career Kolkata
wrote Mock test which has three subjects DI, VA
and QA, here is the result of these students.
80 students cleared cut off in DI, 70 in VA and 60
in QA.
Only 40 students cleared all the three subjects.
10 students failed to clear cut off even in one
subjects.
50 students cleared cut off in VA and QA.
5 students cleared in cut off in only QA. If number of students who didn’t clear cut off in at least two subjects is maximum possible
then find the number of students who failed in exactly one subject?CorrectIncorrect 
Question 155 of 218
155. Question
In a school students at Pioneer career Kolkata
wrote Mock test which has three subjects DI, VA
and QA, here is the result of these students.
80 students cleared cut off in DI, 70 in VA and 60
in QA.
Only 40 students cleared all the three subjects.
10 students failed to clear cut off even in one
subjects.
50 students cleared cut off in VA and QA.
5 students cleared in cut off in only QA. What is the ratio of number of students who didn’t clear cut off DI, but cleared cut off
in QA to the number of students who didn’t clear cut off in exactly 1 subject.CorrectIncorrect 
Question 156 of 218
156. Question
In a school students at Pioneer career Kolkata
wrote Mock test which has three subjects DI, VA
and QA, here is the result of these students.
80 students cleared cut off in DI, 70 in VA and 60
in QA.
Only 40 students cleared all the three subjects.
10 students failed to clear cut off even in one
subjects.
50 students cleared cut off in VA and QA.
5 students cleared in cut off in only QA. What is the maximum number of students who didn’t clear cut off in QACorrectIncorrect 
Question 157 of 218
157. Question
Out of 400 cadets at MERI Kolkata, 50% students
participated in exactly one of the three activities,
Swimming, Kick Boxing and Marching, total 160
students participated in swimming, 150 in Kick
Boxing and 120 in Marching. Number of cadets
who enrolled for swimming and kick boxing only is
20 more than the number of students who enrolled
for kick boxing and marching only. If all those who didn’t participated in any
of the three said activity got an order from
authority to participate in Social Activity,
what is the ratio of maximum to minimum
number of cadets participated in social
Activity?CorrectIncorrect 
Question 158 of 218
158. Question
Out of 400 cadets at MERI Kolkata, 50% students
participated in exactly one of the three activities,
Swimming, Kick Boxing and Marching, total 160
students participated in swimming, 150 in Kick
Boxing and 120 in Marching. Number of cadets
who enrolled for swimming and kick boxing only is
20 more than the number of students who enrolled
for kick boxing and marching only. What is the maximum number of cadets who participated in exactly two activities?CorrectIncorrect 
Question 159 of 218
159. Question
Out of 400 cadets at MERI Kolkata, 50% students
participated in exactly one of the three activities,
Swimming, Kick Boxing and Marching, total 160
students participated in swimming, 150 in Kick
Boxing and 120 in Marching. Number of cadets
who enrolled for swimming and kick boxing only is
20 more than the number of students who enrolled
for kick boxing and marching only. Due to increasing popularity of Social Activity all those who earlier participated in only one activity joined Social Activity, then what is the maximum possible number of cadets who like only one activity? [Use data of previous question if require]CorrectIncorrect 
Question 160 of 218
160. Question
Out of 400 cadets at MERI Kolkata, 50% students
participated in exactly one of the three activities,
Swimming, Kick Boxing and Marching, total 160
students participated in swimming, 150 in Kick
Boxing and 120 in Marching. Number of cadets
who enrolled for swimming and kick boxing only is
20 more than the number of students who enrolled
for kick boxing and marching only. Due to increasing popularity of Social Activity Kick boxing program is dissolve and all the cadets shifted to Social Activity, then what is the Minimum possible number of cadets who like only one activity? [Use data of previous question if require]CorrectIncorrect 
Question 161 of 218
161. Question
Out of 400 cadets at MERI Kolkata, 50% students
participated in exactly one of the three activities,
Swimming, Kick Boxing and Marching, total 160
students participated in swimming, 150 in Kick
Boxing and 120 in Marching. Number of cadets
who enrolled for swimming and kick boxing only is
20 more than the number of students who enrolled
for kick boxing and marching only. Due to increasing popularity of Social Activity all the cadets at MERI participated
in Social Activity then what could be the number of cadets who like only 2 activities.CorrectIncorrect 
Question 162 of 218
162. Question
At Pioneer Career a leading IIT JEE training
institute, a survey is conducted on 80 students of a
batch and it was found that 20% students don’t like
a single subject from three subjects Phy, Che and
maths. 50% students like Phy and Maths. Numer
of students who like Phy and Che both is equal
to number of students who like Maths and Che
both, Total 10% students like exactly 1 subjects.
Number of students who like Phy is same as that of
students who like Che and in turn equal to number
of students who like Maths which is equal to 50.
After 1st mock test each of the students changed
their liking (i.e if a student who liked maths and
Phy only now like Che, the one who like all the
three now like none, if a student who like only one
subject will now like 2 subjects, if a student earlier
like 2 subjects will now like only 1 subject and so
on) How many students who like Phy now had liking for Maths before mock test?CorrectIncorrect 
Question 163 of 218
163. Question
At Pioneer Career a leading IIT JEE training
institute, a survey is conducted on 80 students of a
batch and it was found that 20% students don’t like
a single subject from three subjects Phy, Che and
maths. 50% students like Phy and Maths. Numer
of students who like Phy and Che both is equal
to number of students who like Maths and Che
both, Total 10% students like exactly 1 subjects.
Number of students who like Phy is same as that of
students who like Che and in turn equal to number
of students who like Maths which is equal to 50.
After 1st mock test each of the students changed
their liking (i.e if a student who liked maths and
Phy only now like Che, the one who like all the
three now like none, if a student who like only one
subject will now like 2 subjects, if a student earlier
like 2 subjects will now like only 1 subject and so
on) How many students don’t like Phy before and after Mock.CorrectIncorrect 
Question 164 of 218
164. Question
At Pioneer Career a leading IIT JEE training
institute, a survey is conducted on 80 students of a
batch and it was found that 20% students don’t like
a single subject from three subjects Phy, Che and
maths. 50% students like Phy and Maths. Numer
of students who like Phy and Che both is equal
to number of students who like Maths and Che
both, Total 10% students like exactly 1 subjects.
Number of students who like Phy is same as that of
students who like Che and in turn equal to number
of students who like Maths which is equal to 50.
After 1st mock test each of the students changed
their liking (i.e if a student who liked maths and
Phy only now like Che, the one who like all the
three now like none, if a student who like only one
subject will now like 2 subjects, if a student earlier
like 2 subjects will now like only 1 subject and so
on) What is the difference between total number of students who like Phy before Mock and
like Che after Mock.CorrectIncorrect 
Question 165 of 218
165. Question
At Pioneer Career a leading IIT JEE training
institute, a survey is conducted on 80 students of a
batch and it was found that 20% students don’t like
a single subject from three subjects Phy, Che and
maths. 50% students like Phy and Maths. Numer
of students who like Phy and Che both is equal
to number of students who like Maths and Che
both, Total 10% students like exactly 1 subjects.
Number of students who like Phy is same as that of
students who like Che and in turn equal to number
of students who like Maths which is equal to 50.
After 1st mock test each of the students changed
their liking (i.e if a student who liked maths and
Phy only now like Che, the one who like all the
three now like none, if a student who like only one
subject will now like 2 subjects, if a student earlier
like 2 subjects will now like only 1 subject and so
on) What is difference between total number of students who like all the three subject before
and after Mock test.CorrectIncorrect 
Question 166 of 218
166. Question
In society only three types of news paper TOI, HT or
Tel are supplied, number of families who read TOI,
HT and Tel is 43, 65, 37. Given that total number
of family in the society is 100 and each family read
at least one news paper. If number of family who read HT only is minimum possible then what is the maximum
possible number of family who read TOI and Tel but not HT.CorrectIncorrect 
Question 167 of 218
167. Question
In society only three types of news paper TOI, HT or
Tel are supplied, number of families who read TOI,
HT and Tel is 43, 65, 37. Given that total number
of family in the society is 100 and each family read
at least one news paper. If number of family who read all the three news paper is maximum possible then what
is the maximum possible number of family who read only TOICorrectIncorrect 
Question 168 of 218
168. Question
In society only three types of news paper TOI, HT or
Tel are supplied, number of families who read TOI,
HT and Tel is 43, 65, 37. Given that total number
of family in the society is 100 and each family read
at least one news paper. If number of family who read TOI only is
more than the number of family who read
HT only then what is the maximum number
of family who read all the three news paper.CorrectIncorrect 
Question 169 of 218
169. Question
In society only three types of news paper TOI, HT or
Tel are supplied, number of families who read TOI,
HT and Tel is 43, 65, 37. Given that total number
of family in the society is 100 and each family read
at least one news paper. What is the minimum number of family who read at least two news paper.CorrectIncorrect 
Question 170 of 218
170. Question
In society only three types of news paper TOI, HT or
Tel are supplied, number of families who read TOI,
HT and Tel is 43, 65, 37. Given that total number
of family in the society is 100 and each family read
at least one news paper. What is the Sum of maximum to minimum number of students who read only Tel?CorrectIncorrect 
Question 171 of 218
171. Question
In a school when a survey is conducted on liking
of subjects out of three subjects physic, chemistry,
mathematics, then outcome is as follows :
Total number of students who like physics,
chemistry and mathematics is 30, 40, 50
respectively.10 students shown interest in all three
subjects, Number of students who like physics and
mathematics both is equal to number of students
who like chemistry and mathematics both and
is equal to ¾ times number of students who like
physics and chemistry both15 students like only
chemistry.
When class teacher saw this survey report he told
head master that at least 20 and at max 40% of
those who told they like physics are liars about
physics liking. Same percentage for chemistry is
40% to 50%.
Further class teacher added that the liars must
belong to those who like only 1 subject and if
numbers of liars is more then it belongs to those
who like 2 subjects and probability that the who
likes all three subjects is a liar is negligible. According to survey what is the ratio of number of students who like only Phy to
those who like only Che to those who like only Maths.CorrectIncorrect 
Question 172 of 218
172. Question
In a school when a survey is conducted on liking
of subjects out of three subjects physic, chemistry,
mathematics, then outcome is as follows :
Total number of students who like physics,
chemistry and mathematics is 30, 40, 50
respectively.10 students shown interest in all three
subjects, Number of students who like physics and
mathematics both is equal to number of students
who like chemistry and mathematics both and
is equal to ¾ times number of students who like
physics and chemistry both15 students like only
chemistry.
When class teacher saw this survey report he told
head master that at least 20 and at max 40% of
those who told they like physics are liars about
physics liking. Same percentage for chemistry is
40% to 50%.
Further class teacher added that the liars must
belong to those who like only 1 subject and if
numbers of liars is more then it belongs to those
who like 2 subjects and probability that the who
likes all three subjects is a liar is negligible. As per the observation of class teacher what could be the number of students who don’t like a single subject?CorrectIncorrect 
Question 173 of 218
173. Question
In a school when a survey is conducted on liking
of subjects out of three subjects physic, chemistry,
mathematics, then outcome is as follows :
Total number of students who like physics,
chemistry and mathematics is 30, 40, 50
respectively.10 students shown interest in all three
subjects, Number of students who like physics and
mathematics both is equal to number of students
who like chemistry and mathematics both and
is equal to ¾ times number of students who like
physics and chemistry both15 students like only
chemistry.
When class teacher saw this survey report he told
head master that at least 20 and at max 40% of
those who told they like physics are liars about
physics liking. Same percentage for chemistry is
40% to 50%.
Further class teacher added that the liars must
belong to those who like only 1 subject and if
numbers of liars is more then it belongs to those
who like 2 subjects and probability that the who
likes all three subjects is a liar is negligible. As per the observation of class teacher what could be the number of students who like
only one subject?CorrectIncorrect 
Question 174 of 218
174. Question
In a school when a survey is conducted on liking
of subjects out of three subjects physic, chemistry,
mathematics, then outcome is as follows :
Total number of students who like physics,
chemistry and mathematics is 30, 40, 50
respectively.10 students shown interest in all three
subjects, Number of students who like physics and
mathematics both is equal to number of students
who like chemistry and mathematics both and
is equal to ¾ times number of students who like
physics and chemistry both15 students like only
chemistry.
When class teacher saw this survey report he told
head master that at least 20 and at max 40% of
those who told they like physics are liars about
physics liking. Same percentage for chemistry is
40% to 50%.
Further class teacher added that the liars must
belong to those who like only 1 subject and if
numbers of liars is more then it belongs to those
who like 2 subjects and probability that the who
likes all three subjects is a liar is negligible. As per the observation of class teacher what is the maximum number of students who like
Phy and Che both.CorrectIncorrect 
Question 175 of 218
175. Question
In a school when a survey is conducted on liking
of subjects out of three subjects physic, chemistry,
mathematics, then outcome is as follows :
Total number of students who like physics,
chemistry and mathematics is 30, 40, 50
respectively.10 students shown interest in all three
subjects, Number of students who like physics and
mathematics both is equal to number of students
who like chemistry and mathematics both and
is equal to ¾ times number of students who like
physics and chemistry both15 students like only
chemistry.
When class teacher saw this survey report he told
head master that at least 20 and at max 40% of
those who told they like physics are liars about
physics liking. Same percentage for chemistry is
40% to 50%.
Further class teacher added that the liars must
belong to those who like only 1 subject and if
numbers of liars is more then it belongs to those
who like 2 subjects and probability that the who
likes all three subjects is a liar is negligible. As per the observation of class teacher if number of liars from maths group is maximum then how many students like only one subject?CorrectIncorrect 
Question 176 of 218
176. Question
In MERI kolkata 400 cadets have to participate
in exactly one activity at Morning, One Activity
at day Time and one activity at evening. Morning
activities are Yoga and PT, Day time activity is
Mess Club and Cooperative society and evening
activity is sports and marching.
Following facts are known further:
Number of students who participate in PT and
sports both is 100
Number of students who participate in yoga and
cooperative both is 90
Number of students who participate in marching
and mess actives both is 110
Number of students who participate in PT and
morning but not in mess and sports is 60 If 190 students do not participate in mess activity then what is the number of students
who neither participate in yoga in morning, nor in mess society in day time?CorrectIncorrect 
Question 177 of 218
177. Question
In MERI kolkata 400 cadets have to participate
in exactly one activity at Morning, One Activity
at day Time and one activity at evening. Morning
activities are Yoga and PT, Day time activity is
Mess Club and Cooperative society and evening
activity is sports and marching.
Following facts are known further:
Number of students who participate in PT and
sports both is 100
Number of students who participate in yoga and
cooperative both is 90
Number of students who participate in marching
and mess actives both is 110
Number of students who participate in PT and
morning but not in mess and sports is 60 If number of students who like yoga is 190 then what is the number of students who participate in PT and also in Marching?CorrectIncorrect 
Question 178 of 218
178. Question
In MERI kolkata 400 cadets have to participate
in exactly one activity at Morning, One Activity
at day Time and one activity at evening. Morning
activities are Yoga and PT, Day time activity is
Mess Club and Cooperative society and evening
activity is sports and marching.
Following facts are known further:
Number of students who participate in PT and
sports both is 100
Number of students who participate in yoga and
cooperative both is 90
Number of students who participate in marching
and mess actives both is 110
Number of students who participate in PT and
morning but not in mess and sports is 60 If k is the number of students who participate in yoga in morning and mess in day time and
PT in evening then which of the following is correct about K?CorrectIncorrect 
Question 179 of 218
179. Question
In MERI kolkata 400 cadets have to participate
in exactly one activity at Morning, One Activity
at day Time and one activity at evening. Morning
activities are Yoga and PT, Day time activity is
Mess Club and Cooperative society and evening
activity is sports and marching.
Following facts are known further:
Number of students who participate in PT and
sports both is 100
Number of students who participate in yoga and
cooperative both is 90
Number of students who participate in marching
and mess actives both is 110
Number of students who participate in PT and
morning but not in mess and sports is 60 What is the maximum number of students who participated in Yoga?CorrectIncorrect 
Question 180 of 218
180. Question
In MERI kolkata 400 cadets have to participate
in exactly one activity at Morning, One Activity
at day Time and one activity at evening. Morning
activities are Yoga and PT, Day time activity is
Mess Club and Cooperative society and evening
activity is sports and marching.
Following facts are known further:
Number of students who participate in PT and
sports both is 100
Number of students who participate in yoga and
cooperative both is 90
Number of students who participate in marching
and mess actives both is 110
Number of students who participate in PT and
morning but not in mess and sports is 60 Which of the following statement is sufficient enough to find the exact number of students
in each activity?
Only (i) & (ii) Only (ii) & (iii) All three None of theseCorrectIncorrect 
Question 181 of 218
181. Question
4 types of news paper namely HT, TOI, ET and
Hindu are available in a society. Number of readers
of news paper HT, TOI Et and Hindu is in AP with
common difference 10. Number of readers who read
exactly 1 news paper is 80, those who read exactly
2 news paper is 70, those who read exactly 3 news
paper is 60. 20 families don’t read any of these
news paper. What is the minimum total number of families reading Hindu news paper.CorrectIncorrect 
Question 182 of 218
182. Question
4 types of news paper namely HT, TOI, ET and
Hindu are available in a society. Number of readers
of news paper HT, TOI Et and Hindu is in AP with
common difference 10. Number of readers who read
exactly 1 news paper is 80, those who read exactly
2 news paper is 70, those who read exactly 3 news
paper is 60. 20 families don’t read any of these
news paper. If number of families who read ET is 115 then how many families read at least two news
paper?CorrectIncorrect 
Question 183 of 218
183. Question
4 types of news paper namely HT, TOI, ET and
Hindu are available in a society. Number of readers
of news paper HT, TOI Et and Hindu is in AP with
common difference 10. Number of readers who read
exactly 1 news paper is 80, those who read exactly
2 news paper is 70, those who read exactly 3 news
paper is 60. 20 families don’t read any of these
news paper. If number of families who read at least two news paper is equal to number of families who
read at most two news paper then maximum how many families are reading TOI?CorrectIncorrect 
Question 184 of 218
184. Question
4 types of news paper namely HT, TOI, ET and
Hindu are available in a society. Number of readers
of news paper HT, TOI Et and Hindu is in AP with
common difference 10. Number of readers who read
exactly 1 news paper is 80, those who read exactly
2 news paper is 70, those who read exactly 3 news
paper is 60. 20 families don’t read any of these
news paper. If on a particular day Hindu news paper (Whose readership is 130) was not available
then what could be the maximum number of families reading 3 news paper?CorrectIncorrect 
Question 185 of 218
185. Question
In a class of 40 students, 12 enrolled for both English and German. 22 enrolled for German. If the students of the class enrolled for at least one of the two subjects, then how many students enrolled for only English and not German?
CorrectIncorrect 
Question 186 of 218
186. Question
In a college student can opt for any one or more
available sports, these are Foot Ball (FB), Cricket
(Cr), Chess (Ch), and Volley Ball (VB), number of
students who play FB and any one more game is
10, (I.e FB and Ch is 10, FB and Cr is 10 and so on),
similarly number of students who play Cr and any
one more game (Except FB as it is already defined
as 10) is 8 and number of students who play FB
and any two more games is 12. Total count for each
of four Game is 100. How many student play Cricket and exactly one more game?CorrectIncorrect 
Question 187 of 218
187. Question
In a college student can opt for any one or more
available sports, these are Foot Ball (FB), Cricket
(Cr), Chess (Ch), and Volley Ball (VB), number of
students who play FB and any one more game is
10, (I.e FB and Ch is 10, FB and Cr is 10 and so on),
similarly number of students who play Cr and any
one more game (Except FB as it is already de ned
as 10) is 8 and number of students who play FB
and any two more games is 12. Total count for each
of four Game is 100. If number of students who play Ch and Exactly one more game is maximum possible
then what is the number of students who play only Cr.CorrectIncorrect 
Question 188 of 218
188. Question
In a college student can opt for any one or more
available sports, these are Foot Ball (FB), Cricket
(Cr), Chess (Ch), and Volley Ball (VB), number of
students who play FB and any one more game is
10, (I.e FB and Ch is 10, FB and Cr is 10 and so on),
similarly number of students who play Cr and any
one more game (Except FB as it is already defined
as 10) is 8 and number of students who play FB
and any two more games is 12. Total count for each
of four Game is 100. What is maximum number of students who play Ch and VB?CorrectIncorrect 
Question 189 of 218
189. Question
In a college student can opt for any one or more
available sports, these are Foot Ball (FB), Cricket
(Cr), Chess (Ch), and Volley Ball (VB), number of
students who play FB and any one more game is
10, (I.e FB and Ch is 10, FB and Cr is 10 and so on),
similarly number of students who play Cr and any
one more game (Except FB as it is already defined
as 10) is 8 and number of students who play FB
and any two more games is 12. Total count for each
of four Game is 100. Which of the following statements are correct?
(i) Number of students who play Cricket and
Chess is equal to those who play Ch and VB. Number of students who play FB and VB and
Chess is equal to those who play Cr andCh
and VB. Number of students who play FB and VB and
Chess is equal to those who play Cr and Ch
and F.BCorrectIncorrect 
Question 190 of 218
190. Question
In a college student can opt for any one or more
available sports, these are Foot Ball (FB), Cricket
(Cr), Chess (Ch), and Volley Ball (VB), number of
students who play FB and any one more game is
10, (I.e FB and Ch is 10, FB and Cr is 10 and so on),
similarly number of students who play Cr and any
one more game (Except FB as it is already defined
as 10) is 8 and number of students who play FB
and any two more games is 12. Total count for each
of four Game is 100. If number of students who play all four games is maximum possible then number of
students who play only FB isCorrectIncorrect 
Question 191 of 218
191. Question
Number of students who play Cricket, represents
Media club, study Fin and a part of Placement
Committee is 12. Number of students who play Foot Ball, represents
Media club, study Mkt and a part of Placement
Committee is 12. Number of students who play Foot Ball, represents
Social club, study Mkt and a part of Placement
Committee is 12. Number of students who play Cricket, represents
Media club, study Mkt and a part of Placement
Committee is 9. Number of students who play Cricket, represents
Media club, study Mkt and a part of Mess
Committee is 11. Number of students who play Cricket, represents
Media club, is 40. Number of students who play Cricket, represents
Mess committee, is 40. Number of students who study Mkt and a part of
Mess Committee is 30. Number of students who play Cricket, and a part of
Social club is 40. Number of students who play Foot Ball, study Fin
and represents Mess committee, is 20. If number of students play cricket but don’t study Fin is maximum then what is the
number of students who study Fin but not a part of Mess Committee.CorrectIncorrect 
Question 192 of 218
192. Question
Number of students who play Cricket, represents
Media club, study Fin and a part of Placement
Committee is 12. Number of students who play Foot Ball, represents
Media club, study Mkt and a part of Placement
Committee is 12. Number of students who play Foot Ball, represents
Social club, study Mkt and a part of Placement
Committee is 12. Number of students who play Cricket, represents
Media club, study Mkt and a part of Placement
Committee is 9. Number of students who play Cricket, represents
Media club, study Mkt and a part of Mess
Committee is 11. Number of students who play Cricket, represents
Media club, is 40. Number of students who play Cricket, represents
Mess committee, is 40. Number of students who study Mkt and a part of
Mess Committee is 30. Number of students who play Cricket, and a part of
Social club is 40. Number of students who play Foot Ball, study Fin
and represents Mess committee, is 20. If number of students who study Fin is less than the number of students who participated in social activity then what can be the maximum number of students who neither play Cricket nor in Social activity but in Mess Committee?CorrectIncorrect 
Question 193 of 218
193. Question
Number of students who play Cricket, represents
Media club, study Fin and a part of Placement
Committee is 12. Number of students who play Foot Ball, represents
Media club, study Mkt and a part of Placement
Committee is 12. Number of students who play Foot Ball, represents
Social club, study Mkt and a part of Placement
Committee is 12. Number of students who play Cricket, represents
Media club, study Mkt and a part of Placement
Committee is 9. Number of students who play Cricket, represents
Media club, study Mkt and a part of Mess
Committee is 11. Number of students who play Cricket, represents
Media club, is 40. Number of students who play Cricket, represents
Mess committee, is 40. Number of students who study Mkt and a part of
Mess Committee is 30. Number of students who play Cricket, and a part of
Social club is 40. Number of students who play Foot Ball, study Fin
and represents Mess committee, is 20. What could be the maximum number of students who play Foot Ball and in Media
Club?CorrectIncorrect 
Question 194 of 218
194. Question
Number of students who play Cricket, represents
Media club, study Fin and a part of Placement
Committee is 12. Number of students who play Foot Ball, represents
Media club, study Mkt and a part of Placement
Committee is 12. Number of students who play Foot Ball, represents
Social club, study Mkt and a part of Placement
Committee is 12. Number of students who play Cricket, represents
Media club, study Mkt and a part of Placement
Committee is 9. Number of students who play Cricket, represents
Media club, study Mkt and a part of Mess
Committee is 11. Number of students who play Cricket, represents
Media club, is 40. Number of students who play Cricket, represents
Mess committee, is 40. Number of students who study Mkt and a part of
Mess Committee is 30. Number of students who play Cricket, and a part of
Social club is 40. Number of students who play Foot Ball, study Fin
and represents Mess committee, is 20. What could be the maximum number of students who play Foot Ball and in Media
Club?CorrectIncorrect 
Question 195 of 218
195. Question
Number of students who play Cricket, represents
Media club, study Fin and a part of Placement
Committee is 12. Number of students who play Foot Ball, represents
Media club, study Mkt and a part of Placement
Committee is 12. Number of students who play Foot Ball, represents
Social club, study Mkt and a part of Placement
Committee is 12. Number of students who play Cricket, represents
Media club, study Mkt and a part of Placement
Committee is 9. Number of students who play Cricket, represents
Media club, study Mkt and a part of Mess
Committee is 11. Number of students who play Cricket, represents
Media club, is 40. Number of students who play Cricket, represents
Mess committee, is 40. Number of students who study Mkt and a part of
Mess Committee is 30. Number of students who play Cricket, and a part of
Social club is 40. Number of students who play Foot Ball, study Fin
and represents Mess committee, is 20. What is the maximum difference between number of students who Study Fin to those
who is involved in Social group?CorrectIncorrect 
Question 196 of 218
196. Question
There are 3 clubs A, B & C in a town with 40, 50 & 60 members respectively. While 10 people are members of all 3 clubs, 70 are members in only one club. How many belong to exactly two clubs?
CorrectIncorrect 
Question 197 of 218
197. Question
Fifty college teachers are surveyed as to their possession of colour TV, VCR and tape recorder. Of them, 22 own colour TV, 15 own VCR and 14 own tape recorders. Nine of these college teachers own exactly two items out of colour TV, VCR and tape recorder; and, one college teacher owns all three. How many of the 50 teachers own none of the three, colour TV, VCR or tape recorder?
CorrectIncorrect 
Question 198 of 218
198. Question
A survey of 200 people in a community who watched at least one of the three channels — BBC, CNN and DD — showed that 80% of the people watched DD, 22% watched BBC, and 15% watched CNN. What is the maximum percentage of people who can watch all the three channels?
CorrectIncorrect 
Question 199 of 218
199. Question
Shyam visited Ram during his brief vacation. In the mornings they both would go for yoga. In the evenings they would play tennis. To have more fun, they indulge only in one activity per day, i.e. either they went for yoga or played tennis each day.
There were days when they were lazy and stayed home all day long. There were 24 mornings when they did nothing, 14 evenings when they stayed at home, and a total of 22 days when they did yoga or played tennis. For how many days Shyam stayed with Ram?CorrectIncorrect 
Question 200 of 218
200. Question
A survey of 200 people in a community who watched at least one of the three channels — BBC, CNN and DD — showed that 80% of the people watched DD, 22% watched BBC, and 15% watched CNN.
If 5% of people watched DD and CNN, 10% watched DD and BBC, then what percentage of people watched BBC and CNN only?
CorrectIncorrect 
Question 201 of 218
201. Question
In a survey it was found that, the number of people that like only Pepsi, only Coke, both Coke and Pepsi and neither of them are 2n, 3n, 69/n, 69/3n respectively.
CorrectIncorrect 
Question 202 of 218
202. Question
In class of 260 students, each student needs to choose between the three extra subject (i.e IT, Hindi and Sanskrit) offered along with the course. The students that choose each of these subjects are 160, 130, 110. The number of students who choose more than one of the three is 40% more than the number of students who choose all the three subjects If there are no students who choose none of the 3 subjects, how many students study all the three subjects?
CorrectIncorrect 
Question 203 of 218
203. Question
A set of S consists of
i). All odd numbers from 1 to 55.
ii). All even numbers from 56 to 150.
What is the index of the highest power of 3 in the product of all the elements of the set S?CorrectIncorrect 
Question 204 of 218
204. Question
Of the films Empty Set Studios released last year, 60% were comedies and the rest were horror films. 75% of the comedies were profitable, but 75% of the horror moves were unprofitable. If the studio made a total of 40 films, and broke even on none of them, how many of their films were profitable?
CorrectIncorrect 
Question 205 of 218
205. Question
At a certain hospital, 75% of the interns receive fewer than 6 hours of sleep and report feeling tired during their shifts. At the same time, 70% of the interns who receive 6 or more hours of sleep report no feelings of tiredness. If 80% of the interns receive fewer than 6 hours of sleep, what percent of the interns report no feelings of tiredness during their shifts?
CorrectIncorrect 
Question 206 of 218
206. Question
All of the students of Music High School are in the band, the orchestra, or both. 80 percent of the students are in only one group. There are 119 students in the band. If 50 percent of the students are in the band only, how many students are in the orchestra only?
CorrectIncorrect 
Question 207 of 218
207. Question
How many attendees are at a convention if 150 of the attendees are neither female nor students, onesixth of the attendees are female students, twothirds of the attendees are female, and onethird of the attendees are students?
CorrectIncorrect 
Question 208 of 218
208. Question
Eighty percent of the lights at Hotel California are on at 8 p.m. a certain evening. However, forty percent of the lights that are supposed to be off are actually on and ten percent of the lights that are supposed to be on are actually off. What percent of the lights that are on are supposed to be off?
CorrectIncorrect 
Question 209 of 218
209. Question
Let S be the set of all pair (i, j) where 1 ≤ I ≤ j< n and n≥4. Any two distinct members of S are called “friends” if they have one constituent of the pairs in common and “enemies” otherwise. For example, if n = 4, then S = {(1,2), (1,3), (1,4), (2,3), (2,4), (3,4),}. Here, (1,2) and (1,3) are friends, (1,2) and (2,3) are also friends, but (1,4) and (2,3) are enemies.
For general n, how many enemies will each member of S have?CorrectIncorrect 
Question 210 of 218
210. Question
Refer to the data below and answer the questions that follow. Last year there were 3 sections in the Catalyst, a mock CAT paper. Out of them 33 students cleared the cutoff in Section 1, 34 students cleared the cutoff in Section 2 and 32 cleared the cutoff in Section 3. 10 students cleared the cutoff in Section 1 and Section 2, 9 cleared the cutoff in Section 2 and Section 3, 8 cleared the cutoff in Section 1 and Section 3. The number of people who cleared each section alone was equal and was 21 for each section.
The ratio of the number of students clearing then cutoff in one or more of the sections to the number of students clearing the cutoff in Section 1 alone is?CorrectIncorrect 
Question 211 of 218
211. Question
How many subsets of {1, 2, 3 … 11} contain at least one even integer?
CorrectIncorrect 
Question 212 of 218
212. Question
For how many different values of x does the function f(x) = x^{3} – 4x^{2} + 4x equal 0?
CorrectIncorrect 
Question 213 of 218
213. Question
In a survey of 100 people about their moviegoing habits, it was found that 55 people had seen movie X, 45 people had seen movie Y, 50 people had seen movie Z, 10 people had not seen any of the movies and 20 people had seen all the three movies (X, Y and Z). How many people saw only two movies?
CorrectIncorrect 
Question 214 of 218
214. Question
Directions: Answer the given question based on the following data:
Complaints of customers of a bank fall into three categories. Complaints about service (S), clerks (C) and ATM’s (A). The total number of complaints received was 1730 and were as follows: n(S) = 1100, n(C) = 550, n(A) = 670, n(S ∩ C ∩ A’) = 200, n(S∩ A ∩ C’) = 110, n (C ∩ A ∩ S’) = 160CorrectIncorrect 
Question 215 of 218
215. Question
Directions: Answer the given question based on the following data: Complaints of customers of a bank fall into three categories. Complaints about service (S), clerks (C) and ATM’s (A). The total number of complaints received was 1730 and were as follows: n(S) = 1100, n(C) = 550, n(A) = 670, n(S ∩ C ∩ A’) = 200, n(S∩ A ∩ C’) = 110, n (C ∩ A ∩ S’) = 160 Number of complaints about at least two categories is
CorrectIncorrect 
Question 216 of 218
216. Question
A survey was conducted among some persons to find the preference of people among three cloth brands Levis, UCB and Zara. 1. Exactly 5 liked only Zara.
2. The number of persons who liked only Levis was 12.5% more than the number of persons who liked only Zara and Levis.
3. The number of persons who liked UCB was 200/3% more than the number of persons who liked only Levis.
4. Exactly 35 liked both Zara and UCB.
5. The number of persons who liked both Levis and UCB was 5 less than the number of persons who liked both Zara and UCB.
6. Exactly 25 persons liked only UCB, a number which was 44.44% less than the number of persons who liked only Levis.
7. Each person liked at least one brand.CorrectIncorrect 
Question 217 of 218
217. Question
Three rugs have a combined area of 200 m^{2}. When overlapped, the rugs cover a floor area of 140 m^{2} and the area covered by exactly two layers of rug is 24 m^{2}. What area of the floor is covered by three layers of rug?
CorrectIncorrect 
Question 218 of 218
218. Question
In a town, 48% people are educated, 51% people are young, 60% are servicemen, 24% are educated and young. There are 25% are young and servicemen, 27% are educated and servicemen and 5% fit in all the three categories. What is the ratio of educated or young, but not servicemen to young or servicemen but not educated?
CorrectIncorrect