RRB NTPC 2021 PYQs

Question 1

If the length of a rectangular solar panel having an area of 110 m2is 10% more than its breadth, then what will be the breadth?

Accepted Answer

Let breadth be 'b'. Length is 1.1b. Area = length × breadth = 1.1b × b = 1.1b² = 110. So, b² = 100, which means b = 10m.

Question 2

Under which Article of the Constitution, the Supreme Court of India may issue a writ for enforcement of Fundamental Rights?

Accepted Answer

Article 32 of the Indian Constitution grants the right to constitutional remedies, allowing individuals to move the Supreme Court for the enforcement of their Fundamental Rights.

Question 3

The product of√2and ​√3is:

Accepted Answer

The product of two irrational numbers, √2 and √3, is √6. Since 6 is not a perfect square, √6 is an irrational number.

Question 4

Raja Ravi Varma was a famous _______.

Accepted Answer

Raja Ravi Varma was a renowned Indian painter and artist, famous for his realistic portrayal of Indian mythology and portraits.

Question 5

Simplify.15 - 6.3 ÷ 7 + 3 × 1.3 - 2

Accepted Answer

Follow BODMAS: first division (6.3 ÷ 7 = 0.9), then multiplication (3 × 1.3 = 3.9). Finally, perform addition and subtraction from left to right: 15 - 0.9 + 3.9 - 2 = 16.

Question 6

An airplane is carrying 500 passengers, of which 45% are men and 20% are children. The ratio of the number of men women and children in the lowest terms is

Accepted Answer

Men are 45%, children are 20%. So, women are 100% - 45% - 20% = 35%. The ratio of men:women:children is 45:35:20. Dividing by the common factor 5, we get 9:7:4.

Question 7

CSIR scientists have conducted a genetic study for the first time in India. Where has the study been conducted?

Accepted Answer

CSIR scientists conducted India's first genetic study on the indigenous population of Lakshadweep. This was a significant scientific milestone.

Question 8

If (a + b) : (b + c) : (c + a) is 6 : 7 : 8 and also a + b + c = 14, then what is the value of c?

Accepted Answer

Let a+b=6k, b+c=7k, c+a=8k. Summing these gives 2(a+b+c) = 21k. Substitute a+b+c=14 to find k=4/3. Then c = (b+c) - (a+b+c - (c+a)) = 7k - (14 - 8k) = 7(4/3) - (14 - 8(4/3)) = 28/3 - (14 - 32/3) = 28/3 - (10/3) = 18/3 = 6.

Question 9

Privatisation of the public sector enterprises by selling off part of the equity of PSEs to the public is known as:

Accepted Answer

Selling off part of the equity of Public Sector Enterprises (PSEs) to the public is precisely the definition of disinvestment. It's a common economic term.

Question 10

Four number-pairs have been given, out of which three are alike in some manner and one is different. Select the number-pair that is different from the rest.

Accepted Answer

The pattern is that the second number is the square of the first number. 28²=784, 19²=361, 17²=289. However, 23²=529, not 539.

Question 11

Find the value of the expression[cosec(75° + θ) – sec(15° – θ) – tan(55° + θ) + cot(35° – θ)]

Accepted Answer

Use complementary angle identities: cosec(90°-A) = sec(A) and tan(90°-A) = cot(A). The expression simplifies to (sec(15°-θ) - sec(15°-θ)) - (cot(35°-θ) - cot(35°-θ)), resulting in 0.

Question 12

Which of the following is NOT a style of Hindustani classical music?

Accepted Answer

Alapana is a form of Carnatic music. Thumri, Dhrupad, and Tappa are all distinct styles within Hindustani classical music, making Alapana the correct answer.

Question 13

As of October 2020, who is the Governor of the Reserve Bank of India?

Accepted Answer

Shaktikanta Das was appointed as the Governor of the Reserve Bank of India in December 2018 and continues to hold the position as of October 2020.

Question 14

The difference between the simple interest and the compound interest on Rs.5000/- at 10% per annum for 3 years is:

Accepted Answer

Calculate SI = PRT/100 = 5000*10*3/100 = 1500. Calculate CI = P[(1+R/100)^T - 1] = 5000[(1.1)^3 - 1] = 5000[1.331 - 1] = 5000*0.331 = 1655. Difference = 1655 - 1500 = 155.

Question 15

When was the Atomic Energy amendment bill passed by parliament to allow joint ventures between public sector undertakings in nuclear power generation?

Accepted Answer

The Atomic Energy (Amendment) Bill, 2015 was passed by the Parliament in December 2015. It allowed joint ventures between PSUs for nuclear power generation.

Question 16

Who is the author of the book 'Shades of Saffron'?

Accepted Answer

The book 'Shades of Saffron: From Vajpayee to Modi' was written by Saba Naqvi. It provides an insight into Indian politics.

Question 17

Which other movement was combined with the non-cooperation movement in 1920?

Accepted Answer

The Khilafat Movement, launched by Muslim leaders, merged with Mahatma Gandhi's Non-Cooperation Movement in 1920 to present a united front against British rule.

Question 18

Which of the following is NOT a National Park in India?

Accepted Answer

Shandur National Park is located in Pakistan. The other three options – Balphakram, Anshi, and Dachigam – are all National Parks situated in India.

Question 19

In an examination, 35% students failed in one subject and 42% failed in the other subject, 30% failed in both the subjects. If total number of students is 2500 then how many students passed only in one subject?

Accepted Answer

Students failed in only one subject = (35-30)% + (42-30)% = 5% + 12% = 17%. Total students = 2500. So, 17% of 2500 = 425 students.

Question 20

The longest running train in the Indian railway network in terms of distance and time is ________.

Accepted Answer

The Vivek Express, running from Dibrugarh to Kanyakumari, covers the longest distance and time in the Indian Railways network.