RRB NTPC 2021 PYQs

Question 1

The value of sin 150is:

Accepted Answer

Use sin(A-B) identity: sin(45-30) = sin45cos30 - cos45sin30. Substitute values: (1/√2)(√3/2) - (1/√2)(1/2) = (√3-1)/(2√2).

Question 2

Which famous revolutionary set up base near Satar river in Jhansi in the 1920’s using the alias, Pandit Harishankar Brahmachari?

Accepted Answer

Chandrashekhar Azad used the alias Pandit Harishankar Brahmachari while operating near the Satar river in Jhansi during the 1920s to evade British authorities.

Question 3

Endemic species are those species of plants and animals which are _________ .

Accepted Answer

Endemic species are defined as those found exclusively in a specific geographical area, making option 1 the correct answer.

Question 4

Who has written Bahuroopi Gandhi?

Accepted Answer

Anu Bandyopadhyaya is the author of the book 'Bahuroopi Gandhi'. This is a direct factual recall question.

Question 5

Ram has a movie in his pen drive that takes 1.75 GB of space. He wants to share it with his friends. The speed of transferring the file is 2 MB/s. How much time will it take to transfer the file?(1 GB = 1000 MB)

Accepted Answer

Convert 1.75 GB to MB (1.75 * 1000 = 1750 MB). Divide total MB by transfer speed (1750 MB / 2 MB/s = 875 seconds). Convert seconds to minutes and seconds (875 / 60 = 14 minutes and 35 seconds).

Question 6

Which one of the following passes is located at the crest of the Western Ghats and connects Mumbai with Pune?

Accepted Answer

Bhor Ghat Pass is a significant mountain pass in the Western Ghats, specifically connecting the cities of Mumbai and Pune, making it the correct answer.

Question 7

In which country is the Taklamakan desert located?

Accepted Answer

The Taklamakan Desert is a large desert located in the Xinjiang Uyghur Autonomous Region of China. It is one of the largest sandy deserts in the world.

Question 8

Pick the odd one out.

Accepted Answer

In options 1, 2, and 3, the letters follow a pattern of two consecutive letters followed by two preceding letters. Option 4 has four consecutive letters.

Question 9

If x and y are two positive numbers such that√x = 8 and x2+ y = 4112, then the find the value of √y.

Accepted Answer

From √x = 8, square both sides to get x = 64. Substitute x = 64 into x² + y = 4112 to find y = 4112 - 64² = 4112 - 4096 = 16. Finally, calculate √y = √16 = 4.

Question 10

What is the total surface area of the visible faces in the given figure?

Accepted Answer

The figure is a cube with side length 8 cm. The total surface area of a cube is 6 * side^2. So, 6 * 8^2 = 6 * 64 = 384 cm².

Question 11

In May 2019, the last captive White tiger of Mumbai died. What was the name of the tiger?

Accepted Answer

The last captive White tiger of Mumbai, which died in May 2019, was named Bajirao. This is a direct factual recall question.

Question 12

Who among the following didNOTadvocate militant opposition to colonial rule through the Swadeshi movement?

Accepted Answer

Gopal Krishna Gokhale was a moderate leader who advocated constitutional methods, not militant opposition. The other three were prominent extremist leaders of the Swadeshi movement.

Question 13

Study the diagram and identify the region representing teachers who are not Indian and not Chinese.

Accepted Answer

Identify the region representing teachers. Then exclude regions that are Indian or Chinese. Region 4 is the only one left, representing teachers who are neither Indian nor Chinese.

Question 14

If a cosθ – b sinθ = c, then find the value of a sinθ + b cosθ.

Accepted Answer

Square both given equations: (a cosθ – b sinθ)² = c² and (a sinθ + b cosθ)² = x². Add them. Using sin²θ + cos²θ = 1, simplify to a² + b² = c² + x². Solve for x.

Question 15

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 16

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 17

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 18

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 19

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 20

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.