GATE Questions

Q:

Which of the Phrases(1), (2), (3) and (4) given below each sentence should replace the phrases printed in bold in the sentence to make it grammatically correct.

The ban is applied by the district’s commercial taxes department after protests by a community, which had threat to burn theatres screening the controversial movie.

A) had threated to burn B) had threatened to burn
C) had threatened to burning D) had threats of burning
 
Answer & Explanation Answer: B) had threatened to burn

Explanation:
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Q:

Train K crosses a pole in 30 seconds and train L crosses the same pole in one minute and 20 seconds. The length of train K is three-fourths the length of train L. What is the ratio of the speed of train K to that of train L   ?

A) 1 : 3 B) 2 : 1
C) 3 : 1 D) 1 : 2
 
Answer & Explanation Answer: B) 2 : 1

Explanation:

Given that train K crosses a pole in 30 seconds and train L crosses the same pole in one minute and 15 seconds.

Let the length of train K be Lk and that of train L be Ll

given that Lk = 3/4 Ll

As the train K and L crosses the pole in 30 seconds and 80 seconds respectively,
=> Speed of train K = sk = Lk/30

Speed of train L = sl = Ll/80

Lk = 3/4 Ll
=> sk = 3/4 Ll/(30) = Ll/40

Ratio of their speeds = sk : sl
= Ll/40 : Ll/80

=> 1/40 : 1/80  =  2 : 1

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Q:

Speed of sound is maximum in which among the following?

A) Gases B) Vaccum
C) Liquids D) Solids
 
Answer & Explanation Answer: D) Solids

Explanation:

We know that, in solids all the particles are packed together and hence sound can travel from one to one very fast.

 

Hence, speed of sound is maximum in solids and decreses from solids to liquids and liquids to gases. Sound can't travel through vaccum.

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Q:

How many four digits numbers greater than 6000 can be made using the digits 0, 4, 2, 6 together with repetition.

A) 64 B) 63
C) 62 D) 60
 
Answer & Explanation Answer: B) 63

Explanation:

Given digits are 0, 4, 2, 6

Required 4 digit number should be greater than 6000.

So, first digit must be 6 only and the remaining three places can be filled by one of all the four digits.

This can be done by

1x4x4x4 = 64

Greater than 6000 means 6000 should not be there.

Hence, 64 - 1 = 63.

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Q:

CPU speed of a personal computer is

A) 1 MIPS B) 100 KIPS
C) 32 KIPS D) 32 MIPS
 
Answer & Explanation Answer: C) 32 KIPS

Explanation:

Instructions per second (IPS) is a measure of a computer's processor speed. CPU speed of a personal computer is 32 KIPS (Kilo Instructions per second).

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Q:

IP address is currently

A) 4 bytes long B) available in plenty
C) 6 bytes long D) not assigned as it is all used up
 
Answer & Explanation Answer: A) 4 bytes long

Explanation:

IP address is currently 4 bytes long. An IP address is written in "dotted decimal" notation, which is 4 sets of numbers separated by period each set representing 8-bit number ranging from (0-255).

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Q:

If L exceeds K by 30%, then K is less than L by ?

A) 14 2/5 % B) 23 1/3 %
C) 20 % D) 16 %
 
Answer & Explanation Answer: B) 23 1/3 %

Explanation:

K = 100 L = 130
130------ 30
100------- ? => 23 1/13 %

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Q:

Tanks A and B are each in the shape of a right circular cylinder. The interior of tank A has a height of 10 meters and a circumference of 8 meters, and the interior of tank B has a height of 8 meters and a circumference of 10 meters. The capacity of tank A is what percent of the capacity of tank B ?

A) 76% B) 72%
C) 80% D) 82%
 
Answer & Explanation Answer: C) 80%

Explanation:

circumference of A = 2πr = 8 => so r = 4π
volume = π×4π2×10 = 160π
circumference of B = 2πr   = 10 => so r = 5π
volume = π×5π2×8 =  200π
so ratio of capacities = 160/200 = 0.8
so capacity of A will be 80% of the capacity of B.

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