The Prayas ePathshala

Exams आसान है !

06 June 2024

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Q1. Regarding the ‘Langlands Program’, which statement is accurate?

(a) A mathematical theory explaining the behavior of subatomic particles.

(b) A space exploration initiative focused on studying the atmospheres of gas giants.

(c) A set of conjectures connecting number theory and harmonic analysis.

(d) A cultural exchange program fostering international collaboration in the arts.

Ans: (c)

Explanation: What is the Langlands Program?

  • The Langlands Program is a comprehensive and influential research initiative in mathematics that aims to establish deep connections between two seemingly unrelated areas of mathematics: number theory and harmonic analysis.
  • Significance: The Langlands Program has had a profound impact on various branches of mathematics, leading to significant breakthroughs and applications in solving long-standing mathematical problems.

Q2. What is the ‘Abel Prize’?

(a) An award recognizing outstanding achievements in literature.

(b) A prize awarded for excellence in the field of mathematics.

(c) A prestigious honor in the field of environmental science.

(d) An accolade presented for exceptional contributions to the field of astronomy.

Ans: (b)

Explanation:

  • The Abel Prize is a prestigious award in mathematics, named after Norwegian mathematician Niels Henrik Abel. Established by the Norwegian Parliament in 2002, the prize recognizes outstanding scientific achievements in mathematics. The 2023 Abel Prize was awarded to Luis Caffarelli for his contributions to regularity theory for nonlinear partial differential equations.

Q3. Regarding the ‘Moho discontinuity’, which statement is accurate?

(a) A geological boundary between the Earth’s crust and mantle.

(b) A weather phenomenon associated with extreme temperature variations.

(c) A seismological feature indicating the presence of oil reserves.

(d) A point of intersection between two tectonic plates.

Ans: (a)

Explanation:

  • The Moho discontinuity, or Mohorovičić discontinuity, is a geological boundary that marks the boundary between the Earth’s crust and mantle. Named after the Croatian seismologist Andrija Mohorovičić who first identified it, this boundary represents a significant change in seismic wave velocities. Below the Moho, seismic waves travel faster, indicating a transition from the less dense crust to the denser mantle.

Q4. consider the following statements about the ‘United Service Institution of India’ (USI):

  1. USI is India’s oldest think-tank, established in 1870.
  2. It serves as a platform for research and debate on national security and military affairs.

Which of the given above statements is/are correct?

(a) 1 Only

(b) 2 Only

(c) Both 1 and 2

(d) Neither 1 nor 2

Ans: (c)

Explanation:

  • Context: The United Service Institution of India (USI) is organizing its Annual UN Forum 2023 in New Delhi, focusing on ‘International Humanitarian Law and Peacekeeping.’
  • In collaboration with the International Committee of the Red Cross and the Centre for UN Peacekeeping Operations, the forum addresses challenges in applying International Humanitarian Law (IHL) principles in contemporary UN peacekeeping missions.
  • About United Service Institution of India (USI):
  • USI is the India’s oldest think-tank, established in 1870. It serves as a platform for research and debate on national security and military affairs.

Q5. Consider the following statements about the ‘International Tropical Timber Organization’(ITTO):

  1. It promotes conservation of tropical forest resources and their sustainable management, use and trade.
  2. India has been the founding member of ITTO.
  3. The ITTO is located in Yokohama, Japan.

How many of the above statements are correct?

(a) Only one

(b) Only two

(c) All three

(d) None

Ans: (c)

Explanation

  • The International Tropical Timber Organization (formed 1986; HQ: Yokohama, Japan) is an intergovernmental organization that promotes the conservation of tropical forest resources and their sustainable management, use and trade. The International Tropical Timber Council (ITTC) is the governing body of the International Tropical Timber Organization (ITTO). India has been the founding member of ITTO.

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