GATE Questions

Q:

Simplify the fraction?

5 (2/7) - 3 (1/14) - 2 (1/14) - 1 (1/7) = ? + 3 (1/17) 

A) -4 (1/17) B) 5 (2/17)
C) -2 (1/17) D) 3 (3/17)
 
Answer & Explanation Answer: A) -4 (1/17)

Explanation:

Given fraction is 5 (2/7) - 3 (1/14) - 2 (1/14) - 1 (1/7) = ? + 3 (1/17) 

It can be written as 

(5 - 3 - 2 - 1) + (2/7 - 1/14 - 1/14 - 1/7) = ? +  3 (1/17) 

-1 + 0 - 3 (1/17) = ?

=> ? = -4 (1/17)

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Filed Under: Simplification
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7 36321
Q:

The third proportional to 9 and 12 is ?

A) 14 B) 16
C) 18 D) 20
 
Answer & Explanation Answer: B) 16

Explanation:

Let the third proportion to 9 & 12 be 'x'.

=> 9:12 = 12 :p

=> p = 12x12/9 = 16.

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Filed Under: Ratios and Proportions
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167 36075
Q:

One word substitute :

a person who abstains from alcoholic drinks

A) Teetotaller B) Heretic
C) Angler D) Drunkard
 
Answer & Explanation Answer: A) Teetotaller

Explanation:

A person who practices teetotalism i.e abstains from all kinds of alcoholic drinks is called a teetotaller or is simply said to be teetotal.

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50 35937
Q:

Transition : Change :: Immobility :  ?

A) Stillness B) Liveliness
C) Action D) Busyness
 
Answer & Explanation Answer: A) Stillness

Explanation:

Given Transition is to Change, and we know that Transition and change are Synonyms. Similarly, Immobility means not moving and synonym of immobility are motionlessness, stillness,...

 

Hence, Transition is to change as immobility is to stillness.

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Filed Under: Analogy
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36 35880
Q:

7 is to 34 as 5 is to

A) 33 B) 24
C) 54 D) 41
 
Answer & Explanation Answer: D) 41

Explanation:

We can get this by any of two explanations.

 

Answer 1: 41

7 = 3 + 4  = 34

Similarly, 5 = 4 + 1  = 41

 

Answer 2 :  41

7 - 3 = 4  => 34

Similarly, 5 - 4 = 1  => 41

 

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Filed Under: Arithmetical Reasoning
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118 35753
Q:

Coding-Decoding

If Pour is wrtten as 4156
Sware is written as 78269
Clear is written as 3@926

Then what is the code for PEARL= ?

A) 429@6 B) 4962@
C) 4692@ D) 4926@
 
Answer & Explanation Answer: D) 4926@

Explanation:

Pour - 4156 => P = 4,  r = 6

Sware - 78269 => a =  2,  e = 9

Clear - 3@926 => l = @

=> Pearl = 4926@

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73 35564
Q:

What is black when you buy it, red when you use it, and gray when you throw it away?

A) Shoe B) Charcoal
C) Belt D) All the above
 
Answer & Explanation Answer: B) Charcoal

Explanation:

What_is_black_when_you_buy_it,_red_when_you_use_it,_and_gray_when_you_throw_it_away1557491056.jpg image

It is Charcoal which is black when we buy it or when not being used. It gets red in appearance when put in use means to say when burning. And eventually when it's been consumed by fire or after getting burned out or used up, changes into ashes which look grey in color.

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Filed Under: Logic Puzzles
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144 35250
Q:

56% of 225 + 20% of 150 = ? - 109

 

Find the value of '?' in the above equation

A) 264 B) 220
C) 241 D) None
 
Answer & Explanation Answer: A) 264

Explanation:

Given 56% of 225 + 20% of 150 = ? - 109

we know that a% of b = b% of a

Now,

225% of 56 + 20% of 150 = ? - 109

200% of 56 + 25% of 56 + 20% of 150 = ? - 109

112 + 14 + 30 = ? - 109

? = 112 + 14 + 30 + 109

? = 264

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Filed Under: Percentage
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28 35240