Option (d) is correct

Explanation:

• The LAC (Line of Actual Control) is the demarcation that separates Indian-controlled territory from Chinese-controlled territory. 
• India considers the LAC to be 3,488 km long.
• It is divided into three sectors: the eastern sector which spans Arunachal Pradesh and Sikkim, the middle sector in Uttarakhand and Himachal Pradesh, and the western sector in Ladakh.

Option (b) is correct

Explanation:

• Statement 1 is not correct: The NITI Aayog brings out the annual health index in collaboration with the Union Health Ministry and World Bank (not by the World Health Organization).
• It is a weighted composite index based on 24 indicators grouped under the domains of ‘health outcomes’, ‘governance and information’, and ‘key inputs/ processes’.
• According to the NITI Aayog, the health index is an “annual tool to assess the performance” of states and UTs. 
• Statement 2 is correct: Key Performers:

• Among Larger States:

• • 1. Kerala
    2. Tamil Nadu
    3. Telangana

• Among Smaller States:

• 1. Tripura

Option (a) is correct

Explanation:

• India has launched Operation Karuna which is a vital mission aimed at providing much-needed assistance to Myanmar following the devastation caused by Cyclone Mocha.

Option (c) is correct

Explanation:

Judge Recusal:

• Recusal refers to the act of a judge voluntarily disqualifying themselves from participating in a particular case. 
• When a judge recuses themselves, they remove themselves from the proceedings due to a potential conflict of interest or some other factor that may compromise their impartiality or fairness.
• Statement 1 is correct: India has no codified rules governing recusals, although several Supreme Court judgments have dealt with the issue.
• There are no formal rules governing recusals, although several SC judgments have dealt with the issue.
• Statement 2 is correct: The decision to recuse rests solely on the conscience and discretion of the judge and no party can compel a judge to withdraw from a case.

Option (b) is correct

Explanation:

Food Safety and Standards Authority of India:

• Statement 1 is not correct: The Ministry of Health & Family Welfare, Government of India is the administrative Ministry of FSSAI.
• It is headquartered in Delhi.
• The FSSAI comprises a Chairperson and twenty two members out of which one – third are to be women.
• Statement 2 is correct: An autonomous statutory body established under the Food Safety and Standards Act, 2006 (FSS Act).
• The Chairperson of FSSAI is appointed by the Central Government.
• The Food Authority is assisted by Scientific Committees and Panels in setting standards and the Central Advisory Committee in coordinating with enforcement agencies.
• The primary responsibility for enforcement is largely with the State Food Safety Commissioners.

Option (c) is correct

Explanation:

Insurance Regulatory and Development Authority of India:

• It is an autonomous and statutory body established under the IRDA Act 1999.
• An apex body that supervises and regulates the insurance sector in India.

• A 10-member body, comprises a Chairman, five full-time members, and four part-time members appointed by the Government of India.
• Its objective is to protect the interests of policyholders, to regulate, promote and ensure orderly growth of the insurance industry in India.
• Statement 1 is not correct: It works under the Nodal Ministry of the Ministry of Finance (not the Ministry of Corporate Affairs). 
• Statement 2 is not correct: Its head office is in Hyderabad (not in Lucknow).