Prayas_Partnerships
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Question 1 of 81
1. Question
In 2021, Aman and Binoy thought of a scheme as they had extra money. They invested 12500 and 17,500 respectively and at the yearend they make a profit of 25000. What is share of profit of Aman?
CorrectIncorrectHint
Since, both their investments are there in the business for the same duration (1 year), profits will be shared in the ratio of their investments i.e. 25,000: 12,500 = 2: 1.
? Aman share = 2/3 * 25000= 16667
Binoy share= 1/3 * 25000= 8333 
Question 2 of 81
2. Question
Sagar invests $50,000 in his business. After 4 months, Dinesh joins him with $35,000 in his pocket. What should they do with the profits at the end of the year?
CorrectIncorrectHint
Sharing of profits will be in the ratio of investments multiplied by the time period.
Hence the ratio is :
(50, 000 * 12 ) : (35, 000 * 8) = 30 : 7 
Question 3 of 81
3. Question
Three partners shared the profit in a business in the ratio 5 : 7 : 8. They had partnered for 14 months, 8 months and 7 months respectively. What was the ratio of their investments?
CorrectIncorrectHint
Let their investments be Rs. x for 14 months, Rs. y for 8 months and Rs. z for 7 months respectively.
Then, 14x : 8y : 7z = 5 : 7 : 8.
Now, 14x/8y = 5/7 => 98x = 40y => y = 49/20 x
And, 14x/7z = 5/8 => 112x = 35z => z = 112/35 x = 16/5 .x.
So x : y : z = x : 49/20 x : 16/5 x = 20 : 49 : 64. 
Question 4 of 81
4. Question
A, B, C subscribe Rs. 50,000 for a business. A subscribes Rs. 4000 more than B and B Rs. 5000 more than C. Out of a total profit of Rs. 35,000, A receives:
CorrectIncorrect 
Question 5 of 81
5. Question
In a business, A and C invested amounts in the ratio 2 : 1 , whereas the ratio between amounts invested by A and B was 3 : 2 . If Rs 157300 was their profit, how much amount did B receive?
CorrectIncorrect 
Question 6 of 81
6. Question
A, B, C rent a pasture. A puts 10 oxen for 7 months, B puts 12 oxen for 5 months and C puts 15 oxen for 3 months for grazing. If the rent of the pasture is Rs. 175, how much must C pay as his share of rent?
CorrectIncorrect 
Question 7 of 81
7. Question
P and Q invested in a business. The profit earned was divided in the ratio 2 : 3. If P invested Rs 40000, the amount invested by Q is
CorrectIncorrectHint
Let the amount invested by Q = q
40000 : q = 2 : 3
=> 40000/q = 2/3
=> q = 40000 * (3/2) = 60000 
Question 8 of 81
8. Question
Debayan and Sagar entered into a partnership with investment in the ratio 3 : 2 respectively. Among them, Sagar is the working partner for which he gets 10% of the profit and Debayan is the sleeping partner. If at the end of one year they earned a profit of Rs. 75000 out of which 5% goes to the charity. Find the share of Sagar in the profit.
CorrectIncorrect 
Question 9 of 81
9. Question
Tina and Meena entered into a partnership for a year in which Tina invested Rs 120000 and Meena invested Rs 70000. After 4 months, Tina invested Rs 80000 more whereas after 5 months, Meena invested Rs 30000 more. When two months were left Eena also joined investing Rs 400000 as her contribution. If the profit for the year was 12.5% of 1572000, find the share of Tina, Meena and Eena.
CorrectIncorrectHint
Tina : Meena : Eena
(120000 _ 4 + 200000 _ 8) : (70000 _ 5 + 100000 _ 7) : (400000 _ 2)
208 : 105 : 80
Now,
12.5% of 1572000 = 196500
Therefore, Profit of:
Tina = 208 _ 196500 = Rs. 104000 393
Meena = 105 _ 196500 = Rs. 52500 393
Eena =80 _ 196500 = Rs. 40000 393
Hence, option B is correct. 
Question 10 of 81
10. Question
Aggarwal and Biswajit started a company together. Aggarwal ‘s money invested was three times that of Biswajit, and his investment period was twice that of Biswajit ‘s. If Biswajit made a profit of Rs. 4000, their total profit is:
CorrectIncorrectHint
Suppose Biswajit invested Rs. x for y months. Then, A invested Rs. 3x for 2y months.
So, A : B = (3x * 2y) : (x * y) = 6xy : xy = 6 : 1.
B’s profit : Total profit = 1 : 7.
Let the total profit be Rs. x
Then, 1/7 = 4000/x or x = 28000. 
Question 11 of 81
11. Question
Deepak and Vineet invested Rs. x and Rs. 3x respectively in a business. The time periods of Deepak and Vineet is in the ratio 2 : 3. If the profit share of Vineet is Rs. 270000, then find the total profit if they continue the business for 3 more years?
CorrectIncorrectHint
Deepak Vineet
Capital x 3x
Time period 2 3
Profit share 2x 9x
Profit share of Vineet = Rs. 270000
Given that, 9x = 270000
x = Rs. 30000
Total profit = 2x + 9x = 11x
Total profit = 330000
Total profit for 1 year = 330000
Time period = 1 + 3 = 4 years
Total period for 4 years = Rs. 1320000
Hence, option C is correct. 
Question 12 of 81
12. Question
Rohan, Mahesh and Fawad invest Rs. 20,000, 20,000 and 30,000 respectively for a business at the start of a year. They continued with same investment till 6 months. In the remaining months Rohan keeps on removing Rs. 2000, Mahesh keeps on adding Rs. 1000 while Fawad keeps on removing Rs. 3000 every month. If the total profit is Rs. 336000, then what is the share of Mahesh?
CorrectIncorrect 
Question 13 of 81
13. Question
With Rs. 85,000, Aman opened a company. Bablu, who had Ks. 42,500, joined him later. If the profits at the end of the year are split in the ratio of 3:1, how long does Bablu join?
CorrectIncorrectHint
Suppose B joined for x months . Then, ( 85000 * 12 )/(42500 * x) = 3. or x = (85000 * 12) / (42500 * 3) = 8.
So, B joined for 8 months. 
Question 14 of 81
14. Question
Mary began his business with a sum of $50,000, and after 3 months, Divya joined him with a sum of $80,000. For managing the business, Mary was paid 136,000, plus a commission of 20% of the profits. What was Divya compensation?
CorrectIncorrectHint
Ratio of shares of profit is : (50, 000 * 12) : (80, 000 * 9) = 5: 6
Let the total profit be P, as Mary receives 20% of this as commission, the remaining 80% of P is shared in the ratio of 5: 6.
Hence Mary receipts will be 5/11th of 80% of total profit plus his commission.
0.1P + 5/11*(0.8P) = 136,000
? 0.136P = 136,000
? P= 10,00,000
Therefore, Divya share will be 6/11 *0.8 * 10,00, 000= 436363 
Question 15 of 81
15. Question
Aman opened a company with $50,000 in his pocket. Bindu decided to join him with 80, 000 after two months. After some more time, Chirag joined them with 1, 50,000. Chirag receives $200,000 as his share of a total profit of $450,000 at the end of the year. How long did it take Chirag to join the company after Bindu?
CorrectIncorrectHint
The ratio of the shares of profits is : (50, 000 *12) : (80, 000 * 10) : (1,50, 000 * T), here T is the number of months that Chirag was with the business
= 60: 80 : 15T = 12: 16: 3T
Hence, Chirag share = 3T/ (3T+28)
This is equivalent to 200, 000 out of 450,000
? 3T/ (3T+28) = 0.445
? T= 7.45
So, Chirag was with the business for 6 months. Hence Chirag joined the business 4 months after, B
joined the business. 
Question 16 of 81
16. Question
Ali, Brijesh, and Charu form a business partnership. The capitals of Ali, Brijesh, and Charu are in the 8:11:7 ratio, and the time period of Ali: Brijesh is 3:2. Out of a total profit of $36,000, Brijesh receives 14400 shares. How long was Charu capital in the business if Ali’s capital was there for 10 months?
CorrectIncorrectHint
Given, Ali was in the business for 8 months, therefore, Brijesh must be in the business for 12
months. As Ali: Brijesh= 3:2
Let the months for Charu capital presence is x.
Ali: Brijesh: Charu
8:11:7
10:12:x
? 80:132: 7x
Brijesh share in profit = 132/(212+7x )* 36,000
This is equivalent to 14400
132/(212+7x)* 36,000= 14400
On calculating, we get
X=16.85 
Question 17 of 81
17. Question
Ajay, Buddhi, and Chaman form an alliance with shares in the proportions of 1/3, 1/4, and 1/6. After two months, Ajay withdraws half of his capital, and after 9 months, they split a profit of Rs. . What is Buddhi’s share of the pie?
CorrectIncorrectHint
Ratio of initial investments = 1/3 : 1/4 : 1/6 = 4 : 3 : 2.
Let their initial investments be 4x, 3x and 2x respectively.
A : B : C = (4x * 3 + 2x * 9) : (3x * 12) : (2x * 12) = 30 : 36 : 24 = 5 : 6 : 4.
B’s share = Rs. (465 * 6/15) = Rs. 186. 
Question 18 of 81
18. Question
Aarav invests $45, 000 in his business. Three months later, Himani arrives with a sum of $30,000 to join him. What should they do with the profits at the end of the year?
CorrectIncorrectHint
Sharing of profits will be in the ratio of investments multiplied by the time period.
Hence the ratio is :
(45, 000 * 12 ) : (30, 000 * 9) = 2 : 1 
Question 19 of 81
19. Question
Maya began his business with a sum of $25,000, and after four months, Chaya joined him with a sum of $60,000. For managing the business, Maya was paid 58, 000, plus a commission of 10% of the profits. What was Chaya compensation?
CorrectIncorrect 
Question 20 of 81
20. Question
Ajay started a business with $40,000 in his pocket. Bineet joined him with 60, 000 after two months. After some more time, Chinmay joined them with 1, 20,000. Chinmay receives $150,000 as his share of a total profit of $375,000 at the end of the year. How long did it take Chinmay to join the company after Bineet?
CorrectIncorrectHint
The ratio of the shares of profits is : (40, 000 *12) : (60, 000 * 10) : (1,20, 000 * T), here T is the number of months that C was with the business
= 24: 30 : 6T = 4: 5: T
Hence, C share = T/ (T+9)
This is equivalent to 1,50, 000 out of 3,75,000
? T/ (T+9) = 0.4
? T= 6
So, Chinmay was with the business for 6 months. Hence Chinmay joined the business 4 months after, Bineet joined the business. 
Question 21 of 81
21. Question
Palak began his company with a sum of $20,000 in his pocket. 4 months later, Kamini joined him with $30,000 in his pocket. Palak withdrew 5,000 of his capital after two months, and Kamini brought in another 20,000 after another two months. What should the profitsharing ratio be at the end of the year?
CorrectIncorrectHint
Here, even for each individual, the capital was not the same for the entire period his money was in the business. So, the term of the ratio for a person will be the sum of products of investment multiplied by time period for different parts of the year.
Palak has 20, 000 for 6 months and then since he withdrew 5,000, he had only 15, 000 for the rest of the 6 months. His term of the ratio will be
(20, 000 * 6) + ( 15, 000 * 6) = 2,10,000
Kamini joined with 30,000 which remained unchanged for 4 months and then he brought in 20, 000 more. So he had 50, 000 for 4 months only as he joined 4 months after the business began. His term of the ratio will be
(30, 000 * 4) + (50, 000 * 4) = 3, 20, 000
Hence, the ratio of shares of the profit will be 2,10, 000 : 3, 20, 000 = 21 : 32. 
Question 22 of 81
22. Question
With 30K, 40K, and 50K, respectively, Sagar, Aarav, and Himani open a company. Sagar commits to staying for the entire year. After two months, Aarav leaves the company, but returns four months later with only 3/4 of his initial investment. Himani leaves after three months and returns after another five months, but with only fourfifths of his original capital. How much more did Himani get than Aarav if the yearend profit was 27,900?
CorrectIncorrect 
Question 23 of 81
23. Question
In IIT Delhi, with different capitals, Aarav and Bala open a company. Aarav was to receive 15% of the profit as a salary, with the remainder divided according to their investment ratio. Bala would have received 1350 more than he did if the entire profit had been distributed in the ratio of their investments. What is Bala’s actual profit percentage?
CorrectIncorrect 
Question 24 of 81
24. Question
Aman, Bala, and Chavi form a joint venture. The capitals of Aman, Bala, and Chavi are in the 10:9:6 ratio, and the time period of Aman: Bala is 2:3. Out of a total profit of $26,000, Bala receives 10,800 shares. How long was Chavi’s capital in the business if Aman’s capital was there for 8 months?s
CorrectIncorrect 
Question 25 of 81
25. Question
Diljit and Eshaani each put in Rs.1500 and Rs.2000 in a company. They accept Fruti, who helped contribute Rs.2250, after 4 months. After 9 months, Eshaani retracts his contribution. If the profit at the end of the year was Rs. 900, what would Eshaani’s share be?300
CorrectIncorrect 
Question 26 of 81
26. Question
For onefourth of the time, Hitesh adds onefourth of the capital. For half of the time, Gagan adds onefifth of the capital, while Yetwan adds the remaining capital. Compute the profitsharing ratio between them.
CorrectIncorrect 
Question 27 of 81
27. Question
Xinhua started his company with Rs.450. After some months, Yamini joined him with a Rs.300 investment. Finally, the profits were distributed in a 2:1 ratio. How long has Yamini been a member?
CorrectIncorrect 
Question 28 of 81
28. Question
In a 12:5 ratio, Ujjwal and Vivek invested in an industry. What is the total profit if the trust receives 15% of the total profit and Ujjwal’s share is Rs1055
CorrectIncorrectHint
Let total profit is equal to Rs 100.
Ujjwal share = (85) x (12/17)=Rs 60
If Ujjwal share is Rs 60,
Total profit is Rs 100.
If Ujjwal share is Rs 1055,
Total profit = (100/60) x 1055=Rs 1758.33 
Question 29 of 81
29. Question
Three people started a buisness.Twice the investment of Akansha is equal to thrice the capital of
Palak, Qutub, and Rohan split the profits in the business 5:7:8 and partnered for 14 months, 8 months, and 7 months, respectively. What is their investment ratio?CorrectIncorrectHint
14x/8y=5/7
y=(49/20)x
14x/7z=5/8
z=(16/5)x
x:y:z=x:(49/20)x:(16/5)x
=20:49:64 
Question 30 of 81
30. Question
Amu, Bala, and Chavi form an alliance with shares in the proportions of 1/2, 1/3, and 1/4. After two months, Amu retracts half of his equity, and after ten months, they split a profit of Rs. 378. What is Bala’s share of the pie?
CorrectIncorrectHint
Ratio of initial investments = 1/2 : 1/3 : 1/4 = 6 : 4 : 3.
Let their initial investments be 6x, 2x and 3x respectively.
A : B : C = (6x * 2 + 3x * 10) : (4x * 12) : (3x * 12) = 42 : 48 : 36 = 7 : 8 : 6.
B’s share = Rs. (378 * 8/21) = Rs. 144. 
Question 31 of 81
31. Question
Anuj, Babu and Charu opened a company with a 1:3:5 investment ratio. Anuk decided to invest the very same number as before after 4 months, while Babu and Charu retreated half of their investment funds. Their profitability at the end of the year is:
CorrectIncorrectHint
Let their initial investments of Anuj, Babu and Charu be x, 3x and 5x respectively. Then,
A:B:C = (x*4+2x*8) : (3x*4+(3x/2)*8) : (5x*4+(5x/2)*8)
20x : 24x : 40x = 5 : 6 : 10 
Question 32 of 81
32. Question
Anuj, Babu and Charu have rented a grassland. For feeding, Anuj places 10 chickens for 7 months, Babu places 12 chickens for 5 months, and C places 15 chickens for 3 months. How much must Charu pay as his share of rent if the meadow rent is Rs. 175?
CorrectIncorrectHint
Let their initial investments of Anuj, Babu and Charu be x, 3x and 5x respectively. Then,
A:B:C = (10_7):(12_5):(15_3)
= 70 :60 :45
= 14 :12 :9
Charu’s rent = Rs.(175_9/35)
=Rs. 45. 
Question 33 of 81
33. Question
Rohan began his business with a sum of $30,000 in his pocket. 5 months later, Kritika joined him with $40,000 in his pocket. Rohan withdrew 10,000 of his capital after 3 months, and Kritika brought in another 25,000 after another 3 months. What should the profitsharing ratio be at the end of the year?
CorrectIncorrectHint
Even for each individual, the capital was not the same throughout the time his money was invested in the company. As a result, a person’s term of the ratio will be the sum of investment products multiplied by time period for various parts of the year.
Rohan had a total of $30,000 for 8 months before withdrawing $10,000, leaving him with only $20,000 for the remaining 4 months. The ratio will be referred to by his term.
(30, 000 * 8) + (20, 000 * 4) = 3,20,000
Kritika started with 40,000, which remained constant for 3 months, and then he added another 25,000. So he only had $65,000 for 3 months because he joined the company 5 months after it started. The ratio will be referred to by his term.
(40, 000 * 3) + (65, 000 * 4) = 3, 80, 000
Hence, the ratio of shares of the profit will be 3,20, 000 : 3, 80, 000 = 16 : 19. 
Question 34 of 81
34. Question
Farhan, Ehsaan, and Guru each invest 40000, 50000, and 60000 in their businesses. Farhan commits to staying for the entire year. Ehsaan leaves the company after two months but returns four months later with only 2/5 of his initial investment. After 3 months, Guru leaves and returns after another 5 months, but with only 2/3 of his original capital. How much more did Guru get than Ehsaan, if the yearend profit is 10400?
CorrectIncorrect 
Question 35 of 81
35. Question
On January 1, 2021, two men named Aarav and Derek began working for the same company in similar positions. Aarav requested a Rs. 500 monthly starting salary with a Rs. 30 annual raise. Derek requested a starting salary of Rs. 400 per month, with a raise of Rs. 15 every six months. Assume the arrangements were unchanged until December 31, 2041. The last day of the month is when the salary is paid. What was their total salary over the course of the period?
CorrectIncorrect 
Question 36 of 81
36. Question
A and B started a business with 1500 and 2500 and got a profit 800 Rs. Half of the profit is shared equally the remaining is shared according to their investment. Find their profits respectively (in rupees)?
CorrectIncorrect 
Question 37 of 81
37. Question
Two men a and b have their ratio of their monthly incomes 5:8. The ratio of their monthly expenditures are in the ratio 2:3. If a saves onethird of his monthly income. Find the ratio of their monthly savings.
CorrectIncorrect 
Question 38 of 81
38. Question
A, B and C divide an amount of Rs.4200 amongst themselves in the ratio of 7:8:6 respectively. If an amount of Rs.200 is added to each of their shares, what will be the new respective ratio of their shares of amount?
CorrectIncorrect 
Question 39 of 81
39. Question
Shami and Chahar started a company in which Shami invested Rs. 700000 and Chahar invested Rs. 800000. Shami is the working partner and draws a fixed monthly salary of Rs. 20000 (which he draws from the revenues of the company). Chahar only offers consultancy services to the business and charges 15 % of the profit earned by the company. The revenue made by the company at the end of its first year is Rs. 3500000. The profit made by the company is 30 percent of its revenues. What is the difference between the amount earned by Shami and Chahar at the end of the first year?
CorrectIncorrect 
Question 40 of 81
40. Question
The ratio between two numbers is 3:4 and their sum is 420. What is the greater of the two numbers?
CorrectIncorrectHint
Since the 2 numbers are in the ratio 3 : 4, Hence, let these two numbers be 3m and 4m.
We are given that 3m + 4m = 420
?7m = 420
?m = 420/7
?m = 60
Now, larger number = 4m = 4 _ 60 ? 240 
Question 41 of 81
41. Question
The age of two people is in the ratio 6 : 8. The sum of their ages is 77. What is their present age?
CorrectIncorrectHint

Question 42 of 81
42. Question
The average age of three persons is 27 years. Their ages are in the proportion of 1:3:5. What is the age in years of the youngest one among them?
CorrectIncorrectHint
Say the ages are x, 3x and 5x [Ratio is 1: 3: 5]
? Average of ages = (x + 3x + 5x)/3 = 9x/3 = 3x Given average = 27 years
? 3x = 27
? x = 27/3 = 9 years
? Age of the youngest = x = 9 years 
Question 43 of 81
43. Question
If Rs. 782 be divided into three parts, proportional to 1/2: 2/3: 3/4, then the first part is:
CorrectIncorrectHint
Ratio = _ : 2/3 : _
Sum of all parts = (1/2 + 2/3 + 3/4) = 23/12 Fraction of first ratio = (1/2)/(23/12) = 6/23
? Value of first part = (6/23) _ 782 = Rs.204 
Question 44 of 81
44. Question
If there be two numbers m=31 and n=23. Let number there be a number b when added to the numbers m and n their ratio becomes 5:4. Find the value of b.
CorrectIncorrect 
Question 45 of 81
45. Question
In the parking there are some two wheelers and rest are 4 wheelers. If wheels are counted, there are total 104 wheels but the in charge of the parking told me that there are only 35 vehicles. Then, find the number of four wheelers.
CorrectIncorrect 
Question 46 of 81
46. Question
The ages of two persons differ by 20 years. 5 years ago, the elder one was 2 times as old as the younger one. What are their present ages of the elder person?
CorrectIncorrectHint
Let present age of the elder person =x and
present age of the younger person =x?20
(x?5)=3(x?20?5)
?x?5=3x?75
?2x=70
?x=35 
Question 47 of 81
47. Question
The total age of A and B is 12 years more than the total age of B and C. C is how many years younger than A?
CorrectIncorrectHint
Given that, A + B =12+B + C
A – C =12
Therefore, C is younger than A by 12 years 
Question 48 of 81
48. Question
A purse contains 51 coins of one rupees, 50p and 25 p, their values being in the ratio 5:15:4 respectively. Find the number of 25p coins.
CorrectIncorrectHint
Let the no of one rupee ,50 p and 25 p coins be x, y and z
Total value of coins in ratio 10x:15y:8z —– (1)
and value of one rupee ,50 p and 25 p coins will be in ratio x: y: z=1:2:4(1 Rs= 2*50 p =4*25 p) —(2)
=5x:15y:4z
(substituting values from eqn 2 in eqn 1)
=5:15*2:4*4
=5:30:16
no. of 25p coins= 16 
Question 49 of 81
49. Question
A and B started a business with 1500 and 2500 and got a profit 800 Rs. Half of the profit is shared equally the remaining is shared according to their investment. Find their profits respectively (in rupees)?
CorrectIncorrect 
Question 50 of 81
50. Question
Four years ago, a father was four times as old as his son. Five years hence, the father will be thrice as old as his son. What is the present age of son?
CorrectIncorrectHint
Let son’s age present age be x years.
Son’s age 4 year ago was x4 years.
Thus, father’s age at that time = 4(x4) years.
After 5 years, son’s age = (x+5) years.
After 5 years, father’s age = (4x16)+5 = (4x11) yearsAfter 5 years father will be thrice as old as his son
4x11=3(x+5)
4x11=3x+15
X=26
Present age of son = 26
Present age of father = 4(264)=4(22)=88 
Question 51 of 81
51. Question
The cost of making robot is divided into cost of material, Cost of repairing and cost of painting in the ratio of 5: 2: 3 the cost used for material is Rs.200. Find the total cost of making the robot?
CorrectIncorrectHint
Robot making cost = cost of material + cost of repairing + cost of painting These three costs are in the ratio of 5: 2: 3
So assume cost of material is 5x, cost of repairing is 2x and cost of painting = 3x Total cost for making the robot = 5X + 2X + 3X = 10X
According to the question, Cost used for material = 200
? 5x = 200 ?X = 40
Total cost for making robot = 10X ?10 _ 40 = 400
? Total cost for making robot = Rs. 400 
Question 52 of 81
52. Question
The present ratio of students to teachers at a certain school is 30 to 1. If the student enrolment were to increase by 50 students and the number of teachers was to increase by 5, the ratio of the students to teachers would then be 25 to 1, what is the present number of teachers?
CorrectIncorrectHint
Given that ratio of students to teachers in a school = 30 : 1 Let the number of students in the school = x
Number of teachers in the school = y
? x/y = 30/1
? x = 30y ? (1)
Now 50 number of students are increased so, total number of students = x + 50 And 5 number of teachers are increased so, total number of teachers = y +5 Now the ratio of students to teachers = 25 : 1
? (x + 50)/(y + 5) = 25/1
? x + 50 = 25 _ (y +5) ? (2)
Substitute equation 1 in equation 2
? 30y + 50 = 25y + 125
? 5y = 75
? y =15
? Number of teachers at present ? y =15 
Question 53 of 81
53. Question
In a forest, there are some parrots and some lions. The total number of heads in the forest is 862 and the total number of legs in the forest is 1856. Find the number of parrots in the forest.
CorrectIncorrectHint
Let the number of parrots and lions be p and l respectively.
Total number of heads= p+l=862 —(1)
Total number of legs=2p+4l=1856 —(2)
On solving 1 and 4, we getP=796
L=66
Total no. of parrots are 796 
Question 54 of 81
54. Question
Tea worth Rs.126 per kg and Rs.135 per kg is mixed with a third variety in the ratio 1: 1: 2. If the mixture is worth Rs.153 per kg, the price of the third variety per kg will be:
CorrectIncorrect 
Question 55 of 81
55. Question
A, B and C divide an amount of Rs.4200 amongst themselves in the ratio of 7:8:6 respectively. If an amount of Rs.200 is added to each of their shares, what will be the new respective ratio of their shares of amount?
CorrectIncorrect 
Question 56 of 81
56. Question
In a certain fraction, the numerator and the denominator are in the ratio 1 : 5. If 3 is added to the numerator and 6 is added to the denominator, the new fraction is 1/20 more than the original fraction. Find the sum of the numerator and the denominator of the original fraction.
CorrectIncorrectHint
Let the numerator of required fraction be x and denominator be 5x. {as numerator and the denominator are in the ratio 1 : 5 }
(x + 3)/(5x + 6) = (1/5) + (1/20)
(x + 3)/(5x + 6) = _
4(x + 3) = 5x + 6
x =6
The sum of the original numerator and denominator = 6x = 36. 
Question 57 of 81
57. Question
Total expenses of a boarding house are partly fixed and partly vary linearly with the number of boarders. The average expense per boarder is Rs. 700 when there are 25 boarders and Rs. 600 when there are 50 boarders. What is the average expense per boarder when there are 100 boarders?
CorrectIncorrectHint
For 25 boarders spent = 700*25 = 17500
Now,
BORDERS EXPENSES
25 17500
50 30000
100 X
X = 30000 + 2*(3000017500) = 55000
Hence per head expense = 55000/100 = Rs.550 
Question 58 of 81
58. Question
Visitors to a show were charged Rs.15 each on the first day, Rs.7.50 each on the second day, Rs.2.50 each on the third day, The total attendance on the three days was in the ratio 2 : 5 : 13. Find the average charge per person (in rupees) for the show for the three days.
CorrectIncorrectHint
Let the attendance on three days be 2x, 5x and 13x respectively.
Then, Total charge in rupees
= 15(2x) + 7.5(5x) + 2.5(13x)
= 100x
Average charge = 100x/(2x + 5x + 13x)
= 5. 
Question 59 of 81
59. Question
If p:q = r:s = t:u = 23:19, If a:b:c = 2:3:5 find the (aq+bs+cu):(br+ap+ct).
CorrectIncorrectHint
(aq+bs+cu):(br+ap+ct) = (aq+bs+cu):(ap+br+ct)
= 19:23
Here, a:b:c = 2:3:5 given data is not required and is redundant 
Question 60 of 81
60. Question
If a:b = then find (2ab)/(2a+b) + 1
CorrectIncorrect 
Question 61 of 81
61. Question
Five years ago, the age of a mother was four times the age of her daughter. Fifteen years hence, the mother’s age will be twice the age of her daughter. Find the present age of the daughter.
CorrectIncorrect 
Question 62 of 81
62. Question
If ratios of income of A:B = 1/2:3/8, B:C = 1/3:5/9, and C:D=5/6:3/4. And the income of B is Rs.22680. Then, find the difference between the income of C and D.
CorrectIncorrect 
Question 63 of 81
63. Question
Ratio of boys to girls in Class A is 2:5. Ratio of boys to girls in Class B is 7:4. Which of the following cannot be ratio of girls to boys in Class A and Class B put together.
CorrectIncorrectHint
Ratio of girls: total students in class A= 5:7 =.714
Ratio of girls: total students in class B= 4:11 =.363
Thus ratio of girls: total students must be between these two values.Girls : total students when Girls : Boys is 5:8 =.5:13=.384
Girls : total students when Girls : Boys is 1:1=.1:2=.50
Girls : total students when Girls : Boys is 7:15 =.7:22=.318
Girls : total students when Girls : Boys is 4:5 = 4:9=.444Clearly 7:15 does not satisfy because it is outside the limits.

Question 64 of 81
64. Question
he value of a diamond varies with the square of its weight. A Rs. 14,40,000 worth diamond breaks into three pieces whose weights are in the ratio 3:4:5. Find the loss in its value due to breakage?
CorrectIncorrectHint
Let initial weight is 12 gm
(12 is taken for ease of calculation as 12=3+4+5)
1440000 = k(12)^2
Now for first part
14,40,000/x = 12^2/3^2
x=90,000
Similarly, calculating value for y
14,40,000/y = 122/4^2
y=1,60,000
Similarly, calculating value for z
14,40,000/z = 122/5^2
z=2,50,000
Total value(new) = 90000 + 160000 + 250000 = 500000
Decrease in value = 1440000 – 500000 = 940000 
Question 65 of 81
65. Question
Two men a and b have their ratio of their monthly incomes 5:8. The ratio of their monthly expenditures are in the ratio 2:3. If a saves onethird of his monthly income. Find the ratio of their monthly savings.
CorrectIncorrect 
Question 66 of 81
66. Question
The sum of the present ages of mother and son is 90 years. When the woman attains her husband’s age, the ratio of the ages of her husband and her son will be 2:1.Find the present age of her son.
CorrectIncorrectHint
Let the age of husband, mother and son be x, y and z respectively
Given: y+z=90 — (1)
and when mother attains her husband’s present age i.e. (xy)
x+xy =2
z+xy 1
y=2z—(2)
from 1 and 2
z=30 
Question 67 of 81
67. Question
The consumption of petrol per hour of Uber cab varies directly as the square of its speed. When the cab is travelling at 55 kmph its consuming 3L. If each liter cost Rs.65 and other expenses per hour is Rs.100, then what would be the minimum expenditure required to cover a distance of 440km?
CorrectIncorrectHint
Speed of the cab per hour=55
At 55 kmph, it will take 8 hours to traverse 440 km
Cost of petrol = 65*3*8 = 1560
Extra expenses = 100*8 = 800
Total cost will be = 1560+800 =2360 
Question 68 of 81
68. Question
A quantity p equals the sum of three other quantities, the first of which is a constant, the second varies directly with x and the third varies directly with x2. When x=1; p=13 and when x=2; p=36 and when x=3; p=79. Find the constant quantity.
CorrectIncorrectHint
Given equation
p=a+bx+cx2
When x=1 ,p =13
a+b+c=13 —(1)
When x=2 ,p=36a+2b+4c=36 —(2)
When x=3, p=79
a+3b+9c=79 —(3)
On solving 1, 2 and 3 we get:
a=10, b=7 and c=10
a=constant quantity = 10 
Question 69 of 81
69. Question
What should be subtracted from both the numbers which are in the ratio 3:4 so that ratio becomes 2:3?
CorrectIncorrect 
Question 70 of 81
70. Question
The ratio of earnings of P:Q is 9:10.If the earnings of P increases by onethird and that of Q decreases by onefifth, then find the new ratio of their earnings.
CorrectIncorrect 
Question 71 of 81
71. Question
The first, second, and thirdclass fares between two railway stations, Patna and Lucknow were 10:8:3 and the number of first, second and thirdclass passengers between the two stations was is 3:4:10. If total sales of the ticket is Rs 16,100, find the money obtained by the sales of secondclass tickets.
CorrectIncorrectHint
Let the fare of 1st, 2nd and 3rd class be 10x, 8x, and 3x respectively
Let the no. of passengers of 1st, 2nd and 3rd class be 3y, 4y and 10y respectively,
then ? 30xy + 32xy + 30xy = 16100
? 92xy = 16100
Hence xy = 175
Required amount = 32xy = 32 x 175 = 5600 
Question 72 of 81
72. Question
Two horses cost as much as 5 dogs, 6 dogs as much as 8 oxen, 10 oxen as much as 50 sheep, 14 sheep as much as 9 goats. If the price of one goat is Rs 70, how much will one horse cost?
CorrectIncorrectHint
Price of one goat = Rs 70 ? For 9 goats = 9 X 70 = 630
Price of 14 sheeps = Rs 630 ? Price of one sheep = 630 / 14 = 45 Price of 50 sheeps = Rs 45 x 50 = Rs 2250
Price of 10 oxen = Rs. 2250 ? Price of 8 oxen = 2250 / 10 x 8 = Rs 1800
Price of 6 dogs = Rs 1800 ? Price of 5 dog = 1800 / 6 * 5 = 1500 Price of 2 horses = Rs 1500 ? Price of one horse = 1500 / 2 ? 750 
Question 73 of 81
73. Question
Arun has a certain amount of money in the denomination of 1 rupee and 10 rupee notes . The number of 1 rupee notes multiplied by the number of 10 rupee notes is equal to the total money (in rupees) that he has. What is the total number of tenrupee notes that he can have?
CorrectIncorrectHint
Let x = no. of Re 1 notes and y = no. of Rs 10 notes So, xy = x+ 10y ?xy = x + 10y
Now ? xy – 10y = x ? y = x / (x – 10)
Only case where it hold good is x = 20 ? y = 2 as for all other cases its value will be in decimal and that cannot be possible. 
Question 74 of 81
74. Question
A book having pages between 4,000 and 5,000 is divided into four pans, each part being divided into chapters The total number of pages in each of the four parts is the same. The ratio of the chapters across all the parts is 6:5:10:14. The number of chapters in the fourth part is 70. What is the total number of pages in the book?
CorrectIncorrectHint
Let the no. of chapters be 6x, 5x, 10x and 14x.
Also, 14x = 70, x = 5 Thus, chapters are 30, 25, 50 and 70.
We can easily eliminate (a) as no. of pages has to be in between 4000 and 5000.
? For (b) Each parts well have 1200 pages which is not possible for part having 70 chapters. Only option
(c) satisfies the conditions
? Or you can take the lcm of these nos ? LCM (30 , 25 , 50 , 70) = 1050 Answer should be a multiple of
Lcm , i.e , 4200 as it is divisible by it completely. 
Question 75 of 81
75. Question
When I am as old as my father is now, I shall be three times as old as my son is now. By then my son will be 5 years older than I am now. The combined ages of my father and myself are 85 years. How old is my son?
CorrectIncorrect 
Question 76 of 81
76. Question
The ratio of the number of boys and girls in a school is 3:2 Out of these 10% the boys and 25% of girls are scholarship holders. What is the % of students who are not scholarship holders?
CorrectIncorrectHint

Question 77 of 81
77. Question
On an island, any person consuming energy has to pay a fixed charge and an additional amount proportional to the energy (in kwh) consumed. But if one consumes more than 60 kwh per month, one has to additionally pay an amount proportional to the square root of energy consumed (in kwh). If a person pays Rs.400 for 50 kwh, Rs.360 for 30 kwh and Rs.498 for 81 kwh, how much should he pay for 100 kwh (in Rs.)?
CorrectIncorrect 
Question 78 of 81
78. Question
Ramu divided some marbles among his two sons such that his elder son got more marbles than his younger son. The sum of the cubes of the number of marbles with his sons was 21 times the product of the difference of the squares of the number of marbles and the difference of the number of marbles with them. Find the ratio of the number of marbles with his elder and younger sons.
CorrectIncorrect 
Question 79 of 81
79. Question
Let there be hostel facility available at PMS college. Then total expenses in running it will be partly fixed and partly varying directly with number of students availing it. The average expense per student will be 90 Rs per day if threefifth of the student uses hostel. The average expenses will be reduced by 10 per head when threefourth of student will use hostel facility. What will be the average expense per student if all 200 student uses the hostel facility?
CorrectIncorrectHint
Let the fixed expenses be F, number of students using hostel facility be N.
T = F + KN
90×120 = F + kx120
80×150 = F + kx150
k = 40
F = 6000
T = 6000 + 40×200
T = 14000
Total expense per head = 14000/200
= 70 
Question 80 of 81
80. Question
When a body falls from rest, distance covered by body from initial point is directly proportional to the square of the time it has been falling. If body covers a height of 176m in 4secs. How much height it will fall in 9th second?
CorrectIncorrect 
Question 81 of 81
81. Question
A novel with 4,000 to 5,000 pages is divided into four parts, each of which is divided into sections. Each of the four parts has the same total amount of pages. The chapters are arranged in the following order: 6:5:10:14. In the fourth part, there are 70 sections. How many pages does the journal have in total?
CorrectIncorrectHint
Let the no. of chapters be 6x, 5x, 10x and 14x.
Also, 14x = 70, x = 5 Thus, chapters are 30, 25, 50 and 70.
We can easily eliminate (a) as no. of pages has to be in between 4000 and 5000.
? For (b) Each parts well have 1200 pages which is not possible for part having 70 chapters. Only option
(c) satisfies the conditions
? Or you can take the lcm of these nos ? LCM (30 , 25 , 50 , 70) = 1050 Answer should be a multiple of
Lcm , i.e , 4200 as it is divisible by it completely.