Correct Answer: Swaran Singh Committee

Solution : The correct answer is the Swaran Singh Committee.

At the recommendation of the Swaran Singh Committee, the Fundamental Duties were incorporated into the Constitution. Initially, the Indian Constitution did not outline a specific set of responsibilities for its citizens. However, in 1976, with the enactment of the 42nd Constitutional Amendment, this was rectified.

Correct Answer: Mount Everest

Solution : The correct answer is Mount Everest.

Mount Everest has its latitude within one degree of New Delhi. The latitude of New Delhi is 28.7 degrees N and 77.1 degrees E and the latitude of Mount Everest is 27.9 degrees N and 86.9 degrees E. Bahut New Delhi and Mount Everest lie in the Northern Hemisphere. Mount Everest is the highest mountain in the world and it is located on the border of China and Nepal with an altitude of 8848.86 metres.

Correct Answer: Himachal Pradesh

Solution : The correct option is Himachal Pradesh

Kardang Monastery is situated in the Indian state of Himachal Pradesh. Kardang Monastery is a Tibetan Buddhist monastery located in the Lahaul and Spiti districts of Himachal Pradesh, India. It is one of the largest and oldest monasteries in the region, situated at an altitude of about 3,500 metres (11,480 feet) above sea level.

Correct Answer: 1 : 2

Solution :

$\angle$ BAC = $\angle$ QPR
$\angle$ ABC = $\angle$ ACB and $\angle$ PQR = $\angle$ PRQ
$\angle$ ABC = $\angle$ ACB = $\angle$ PQR = $\angle$ PRQ
$\triangle$ BAC ~ $\triangle$ QPR
$\frac{area(\triangle BAC)}{area(\triangle PQR)}$ = $\frac{h^2}{H^2}$
⇒ $\frac{1}{4}$ = $\frac{h^2}{H^2}$
⇒ $\frac{h}{H}$ = $\frac{1}{2}$
Hence, the correct answer is 1 : 2.

Correct Answer: 40

Solution : In a column, find the square of the first number to get the second number and then multiply the first number by consecutive natural numbers(starting from 3) to get the third number.

In the first column: 6² = 36 and 6 × 3 = 18
In the second column: 7² = 49 and 7 × 4 = 28
Similarly, in the third column: 8² = 64 and 8 × 5 = 40

So, 40 is the missing number in the given figure. Hence, the fourth option is correct.

Correct Answer: 255

Solution : Let's check the given options –
First option: 169; (13)² = 169
Second option: 196; (14)² = 196
Third option: 255 is not a square of any number.
Fourth option: 289; (17)² = 289

So, 255 is not a square of any number. Hence, the third option is correct.

Correct Answer: Warren Hastings

Solution : The correct answer is Warren Hastings.

The Sadar Diwani Adalat, which was established in Calcutta, heard the District Diwani Adalats' appeals. To handle criminal cases, District Faujdari Adalats were set up. In Calcutta in 1772, Warren Hastings founded the Supreme Court of Revenue. The Governor General, and East India Company council members presided over the proceedings as judges, with help from local judges, and tax officers.

Correct Answer: Surjit S. Bhalla

Solution : The correct option is Surjit S. Bhalla.

Renowned economist Surjit S. Bhalla has been named the Executive Director representing India on the board of the International Monetary Fund (IMF). He takes over from the late Subir Gokarn, former RBI deputy governor, who passed away in the United States following a short illness.

Correct Answer: Malala Yousafzai

Solution : The correct answer is Malala Yousafzai.

The book We Are Displaced, authored by Malala Yousafzai in 2019, features 11 contributors. Malala describes her journey in "We Are Displaced," along with the experiences of other young women who are displaced globally. Their experiences serve as crucial reminders that girls do not give up on their ambitions for the future, even when they are compelled to leave their homes.

Correct Answer: 6 pm

Solution : Distance covered by 1st car in 1 hour = 50 km
Relative speed of car = 75 – 50 = 25 km/hr
Time = $\frac{\text{Distance}}{\text{Speed}}$ = $\frac{50}{25}$ = 2 hours
Since the 2nd car started at 4 p.m., it will meet the 1st car after 2 hours, at (4 pm + 2 hours) = 6 pm
Hence, the correct answer is 6 pm.