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The correct answer is option 1.

Key Points

• Minimum age for Member of Parliament (M.P.) in the Lok Sabha (Lower House):
• The minimum age required is 25 years as per Article 84 of the Indian Constitution.
• Minimum age for Member of Parliament (M.P.) in the Rajya Sabha (Upper House):
• The minimum age required is 30 years as per Article 84 of the Indian Constitution.
• Minimum age for the President of India:
• The minimum age required is 35 years as per Article 58 of the Indian Constitution. Hence, option 1 is correct.

The correct answer is option 2.

Key Points

• Rectilinear propagation of light means that light travels in a straight line. This property is responsible for the formation of shadows. Hence, option 2 is correct.
• When an opaque object obstructs the path of light, it creates a shadow because light cannot bend around the object due to its straight-line propagation.
• The other options do not directly relate to shadow formation:
• Polarisation refers to the orientation of light waves and does not affect shadow formation.
• Diffraction is the bending of light around obstacles, but it is typically noticeable with waves of similar size to the obstacle and does not affect the formation of shadows in everyday situations.
• Interference refers to the interaction of light waves that can cause constructive or destructive patterns, but not shadow formation.

The correct answer is option 3.

Key Points

• Bihar is the leading producer of lychee in India, contributing to 71% of the total annual production of the fruit in the country. Hence, option 3 is correct.
• The region, particularly the Muzaffarpur district in Bihar, is known for its high-quality lychees, which are exported domestically and internationally.
• The other fruits mentioned are not as predominantly produced in Bihar:
• Pineapple: Primarily grown in states like Kerala and West Bengal.
• Orange: Mainly grown in states like Maharashtra and Nagpur.
• Mango: Grown widely across India, but major production centers are in Uttar Pradesh, Andhra Pradesh, and Madhya Pradesh.

The correct answer is option 4.

Key Points

• The state of Jharkhand was formed on November 15, 2000, when it was carved out of the state of Bihar and became a separate state.
• The new state was named Jharkhand, and it consists primarily of the tribal and mineral-rich areas of the southern part of Bihar.
• However, if you're asking about the formation of Bihar as a province under British rule, it was officially created in 1912 when the Bihar and Orissa province was carved out of the Bengal Presidency.
• Thus, the correct answer is (4) None of the above. The exact year for the formation of the state of Bihar as we know it today is 1912, not listed in the options.

The correct answer is option 3.

Key Points

• Article 112 of the Indian Constitution mandates that the Annual Financial Statement (Budget) must be laid before the Parliament. This is often referred to as the Union Budget. Hence, option 3 is correct.
• The Annual Financial Statement is a comprehensive statement  of the government’s proposed receipts and expenditures for a financial year, and it forms the basis of financial planning and budget allocation in India.
• The other articles mentioned are related to:
• Article 111: Deals with the President's approval for bills and money bills.
• Article 113: Deals with the procedure for the introduction of the money bill in the Lok Sabha.
• Article 114: Deals with the procedure for the passing of the appropriation bill.

The correct answer is option 4.

Key Points

• Divi Island is located amid the distributaries of the Krishna River. Hence, option 4 is correct.
• The Krishna River flows through the Indian states of Maharashtra, Karnataka, and Andhra Pradesh, and its distributaries create various islands in the region.
• Divi Island is situated near the Krishna Delta in Andhra Pradesh, close to the coastal areas.

The Correct answer is Option 1. 

Key Points

​CIRCLE

Split: “C I R” | “C L E”

Reverse each half: “R I C” | “E L C”

Join: RICELC

Doing the same for SQUARE:

Split: “S Q U” | “A R E”

Reverse each half: “U Q S” | “E R A”

Join: UQSERA

Hence Correct answer is Option 1.

The correct answer is option 3.

Key Points

• Graphite is commonly used as a seed material in the production of engineered diamonds (also known as synthetic diamonds) through processes like High Pressure High Temperature (HPHT) or Chemical Vapor Deposition (CVD). Hence, option 3 is correct.
• In the HPHT method, graphite is subjected to high pressure and temperature to form diamonds. The graphite acts as a carbon source and helps in the crystallization of the diamond.
• The other options—Moissanite, White Sapphire, and Cubic Zirconia—are not used in the production of diamonds, although they are sometimes mistaken for diamonds due to their similar appearance.

The correct answer is option 4.

Key Points

• ​The G20 Summit 2023 was held in New Delhi, India, on September 9-10, 2023. Hence, option 4 is correct.
• This summit brought together the leaders of the world's major economies to discuss global issues, including climate change, economic recovery, and international security.
• The event was a significant moment for India as it hosted the G20 Summit for the first time as the G20 Presidency in 2023.

The correct answer is option 3.

Key Points

• V.D. Savarkar → i. The First War of Independence
• S.N. Sen → iv. Eighteen Fifty-Seven
• Eric Stokes → ii. The Peasant and the Raj
• S.B. Chaudhuri → iii. Civil Rebellion and in the Indian Mutinies . Hence, option 3 is correct.