The 2024 Padma Shri awards recognized multiple scientists and researchers for their contributions across various fields including space.

C. Rajagopalachari served as the first Indian Governor-General from 1948 to 1950, succeeding Lord Mountbatten.

Satyendra Nath Bose worked with Albert Einstein on quantum statistics, leading to Bose-Einstein statistics.

# Solution: First Director-General of IPS

The Indian Police Service (IPS) was established as the premier civil police force of independent India, and its first leader played a crucial role in shaping modern Indian policing.

Step 1: Understanding the IPS Formation

The Indian Police Service was created on August 15, 1947, replacing the Imperial Police Service of British India. This was a pivotal moment in establishing India's independent administrative structure under the guidance of Sardar Vallabhbhai Patel, who was the Home Minister.

Step 2: Identifying the First Director-General

C.V. Narasimhan was appointed as the first Director-General of the Indian Police Service after independence. He served from 1947 onwards and was instrumental in reorganizing and professionalizing the police force according to the needs of a free democratic nation, rather than colonial rule.

The correct answer is (B) C.V. Narasimhan — the first Director-General of IPS who helped establish the organizational framework and standards for India's national police service during the critical post-independence period.

Harish Chandra revolutionized representation theory and made profound contributions to mathematics and theoretical physics. He is commemorated through the Ramanujan Institute.

# Solution: 2023 Abel Prize Winner

The Abel Prize is awarded annually by the Norwegian Academy of Science and Letters to recognize outstanding contributions to mathematics.

Step 1: Understanding the Abel Prize

The Abel Prize, established in 2002, is one of the most prestigious awards in mathematics and is often compared to the Nobel Prize since there is no Nobel Prize category for mathematics.

Step 2: Identifying the 2023 Winner

Luis Caffarelli, an Argentine-American mathematician, won the 2023 Abel Prize for his groundbreaking work on regularity theory for nonlinear partial differential equations and free-boundary problems. His contributions have had profound applications in physics, finance, and materials science.

Final Answer: (A) Luis Caffarelli

Note: While the question states "Which Indian scientist," Luis Caffarelli is actually Argentine-American, not Indian. This appears to be an error in the question formulation. Among the given options, Caffarelli is indeed the correct 2023 Abel Prize winner.

This question tests critical thinking. While Amartya Sen excelled in both economics and writing, the parallel drawn in the question is intentionally complex. Students should recognize such constructed scenarios in competitive exams.

Nag Ashwin's directorial work has garnered significant international attention for its cinematic excellence and storytelling, particularly notable in 2024's film festivals.

Manjul Bhargava, born in Canada to Indian parents, became the first person of Indian origin to win the Fields Medal in 2014 for his contributions to number theory and representation theory.

# Solution: Indian Social Activist Who Passed Away in 2024

This question tests knowledge of recent events in India related to prominent social activists and their contributions to society.

Step 1: Identify the Key Profile

The question asks about an Indian social activist and former Vice President who passed away in 2024, with a specific focus on education and women's empowerment advocacy.

Step 2: Analyze the Options

- (A) Muhammad Hamid Ansari – Former Vice President (2007-2017), but primarily known for diplomatic roles, not specifically for education and women's empowerment activism.

- (B) Bhairon Singh Shekhawat – Former Vice President, but his career was more political than activist-oriented.

- (C) This is a hypothetical question – This is not a valid answer choice.

- (D) Shobhana Ranade – A renowned social activist and educator who dedicated her life to promoting education and women's empowerment across India, and passed away in 2024.

Step 3: Verify the Correct Answer

Shobhana Ranade was a distinguished social activist whose work significantly impacted educational initiatives and women's rights. Her legacy in advancing education for underprivileged communities and empowering women makes her the correct answer.

Final answer: (D) Shobhana Ranade