GATE Questions

Q:

15% of 32 is

A) 3.6 B) 4.8
C) 5.2 D) 5.8
 
Answer & Explanation Answer: B) 4.8

Explanation:

15% of 32 is 

15 x 32/100 = 4.8.

 

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Q:

Which of the following is not a prime number?

A) 5 B) 11
C) 21 D) 37
 
Answer & Explanation Answer: C) 21

Explanation:

A prime number is a whole number greater than 1 whose only factors are 1 and itself.

 

Factors of 5 are 1, 5

Factors of 11 are 1, 11

Factors of 21 are 1, 3, 7, 21

Factors of 37 are 1, 37.

 

Hence, according to the definition of a prime number, 21 is not a prime number as it has more than two factors.

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6 3035
Q:

The velocity required to place a vehicle in orbit round the moon is _______ that required to place it in orbit round the earth 

A) less than B) Greater than
C) equal to D) greater than or equal to
 
Answer & Explanation Answer: A) less than

Explanation:

This orbital velocity at the moon is less because orbital velocity = rg

 

where 'r ' is the orbital radius. i.e the distance of the body from the center of the earth and 'g' is the acceleration due to gravity on the body in question. In the case of the moon, both r and g are less than in the case of the earth.

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Q:

In a compound, chemical energy is contained in the

A) bonds B) movement of the electrons
C) unbonded electrons D) nuclei of the atoms
 
Answer & Explanation Answer: A) bonds

Explanation:

chemical energy is contained in the chemical bonds between the reactants in the chemical compounds.

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0 3033
Q:

After Srinagar (J&K), India's 2nd Tulip Garden will come up in which state?

A) Uttarakhand B) Himachal Pradesh
C) Delhi D) Karnataka
 
Answer & Explanation Answer: A) Uttarakhand

Explanation:

India's 2nd Tulip Garden will come up in Pithoragarh district of Uttarakhand state.

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4 3031
Q:

Why are manhole covers round?

Answer

A number of possible explanations for why manhole covers are round include :


 


1. A round manhole cover cannot fall through its circular opening, whereas a square, rectangular, or oval manhole cover could fall in if it were inserted diagonally in the hole.


2. Circular covers don’t need to be rotated or precisely aligned when placing them on the opening.


3. A round manhole cover is easily moved and rolled.


4. Human beings have a roughly circular cross-section.


5. Round tubes are the strongest shape against the compression of the earth around them, so the cover of the tube would naturally be round as well.


6. It’s easier to dig a circular hole.

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Q:

Which of the following is known as the Electronic City of India?

A) Hyderabad B) Mumbai
C) Bengaluru D) Gurgaon
 
Answer & Explanation Answer: C) Bengaluru

Explanation:

Bengaluru city is known as the Electronic City of India. Because Electronic City is an IT hub in Anekal taluk of Bengaluru, Karnataka, India. It is one of India's largest electronic industrial parks in 3 phases i.e, in Konappana Agrahara and Doddathogur villages, Bengaluru.

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Q:

(3x + 2) (2x - 5) = ax² + kx + n. What is the value of  a - n + k ?

A) 4 B) 1
C) 5 D) 3
 
Answer & Explanation Answer: C) 5

Explanation:

(3x + 2) (2x - 5) = ax2+kx+n ...............(1)

 

But (3x + 2)(2x - 5) = 6x2-11x-10........(2)

 

so by comparing (1) & (2),

 

we get a= 6, k= -11 , n= -10

 

(a - n + k) = 6 + 10 - 11 = 5.

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