GATE Questions

Q:

A Child has 1200 five rupee coins. He wants to place them in such a way that the number of rows and the number of columns remains the same. What is the minimum number of coins that he needs more for this purpose?

A) 125 B) 96
C) 35 D) 25
 
Answer & Explanation Answer: D) 25

Explanation:

We know that, to be in the form that the number of rows and the number of columns to be equal the number should be a perfect square (a2).

Given number is 1200

The perfect number which is above and near to 1200 is 1225 which is 35  35.

Therefore, The minimum number of coins he need is 25. 

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Filed Under: Arithmetical Reasoning
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12 3529
Q:

Two trains running in opposite directions cross a pole placed on the platform in 47 seconds and 31 seconds respectively. If they cross each other in 33 seconds, what is the ratio of their speeds?

A) 1:7 B) 7:1
C) 2:3 D) 3:2
 
Answer & Explanation Answer: A) 1:7

Explanation:

Let the speed of the trains be x and y respectively
length of train1 = 47x
length of train2 = 31y
Relative speed= x + y
Time taken to cross each other = 33 s
=> 47x+31yx+y= 33
=> (47x + 31 y) = 33(x + y)
=> 14x = 2y
=> x/y = 2/14 = 1/7

 = 1:7

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Filed Under: Time and Distance
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4 3528
Q:

Can you find the next number in the sequence "0, 1, 4, 7, 8, 5, 2, 3, 6, 9, 9, 6, 3, 2, 5, 8, 7, 4, 1, 0, 0, …" ?  

A) 0 B) 1
C) 4 D) 7
 
Answer & Explanation Answer: B) 1

Explanation:

The pattern follows the palindrome sequence.

Here the digits 0 1 4 7 8 5 8 3 6 9    9 6 3 8 5 8 7 4 1 0   0 1 4 7 ...

So the next digit in the sequence is 1.

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Filed Under: Number Series
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10 3526
Q:

Kudos means

A) blame B) shame
C) fame D) angry
 
Answer & Explanation Answer: C) fame

Explanation:

Kudos means Praise or Congrats or Compliments.

Fame is Synonym of Kudos.

Blame, Shame and Angry are Antonyms of Kudos.

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12 3523
Q:

The amount of Matter in an Object is

A) Weight B) Mass
C) Volume D) Space
 
Answer & Explanation Answer: B) Mass

Explanation:

Mass means the amount of matter in an object. Anything that has Mass and takes up Space is called Matter.

 

The Study of Matter and and how matter changes is called Chemistry.

 

Matter has some mass and occupies some space. Space occupied by an object is called its Volume.

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Filed Under: General Awareness
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4 3520
Q:

 Which of the following means O is a father of two children ?

A) O @ M # N B) O # N # M
C) O @ N # M D) N # O $ M
 
Answer & Explanation Answer: C) O @ N # M

Explanation:

 O @ N # M means O is the father of N who is the sister of M i.e. O is a father of two children.

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Filed Under: Blood Relations
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2 3511
Q:

Siphon will fail to work if

A) The level of the liquid in the two vessels are at the same height B) The temperature of the liquids in the two vessels are the same
C) The densities of the liquid in the two vessels are equal D) Both its limbs are of unequal length
 
Answer & Explanation Answer: A) The level of the liquid in the two vessels are at the same height

Explanation:

Siphon is a tube bent to form two legs of unequal length by which a liquid can be transferred from a reservoir and then down to a lower level of it.

 

siphon_will_fail_to_work_if1556686678.jpg image

 

Siphon will fail to work if, the level of the liquid in the two vessels are at the same height.

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Filed Under: Physics
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2 3510
Q:

Write 0.125 as a percent %?

A) 12% B) 12.5%
C) 13% D) 13.5%
 
Answer & Explanation Answer: B) 12.5%

Explanation:

Here to convert 0.125 into %

First convert to fractio

Multiply and divide by 1000

=> 0.125 x 10001000 = 1251000 = 18

=> Now, in percentage18 x 100 = 12.5%

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Filed Under: Percentage
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7 3508