Aptitude and Reasoning Questions

Q:

The length of a rectangle is halved, while its breadth is tripled. What is the percentage change in area?

A) 20% B) 30%
C) 40% D) 50%
 
Answer & Explanation Answer: D) 50%

Explanation:

Let original length = x and original breadth = y.

Original area = xy. 

New length = x/2 and New breadth=3y 

New area = 32xy 

Therefore,  Increase in area = New area-original area = 32xy-xy=12xy 

 

Therefore,  Increase % = increase in area original area*100=12xyxy*100=50 %

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Filed Under: Area
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47 46831
Q:

ΔPQR is right angled at Q. If m∠P = 60 deg, then find the value of (cotR + √3/2).

 

A) 3√3/2   B) 1+√3  
C) (2√2+1)/2   D) (3√3+1)/6
 
Answer & Explanation Answer: A) 3√3/2  

Explanation:
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Filed Under: Simplification
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0 46829
Q:

If a = 5 + 22 & b = 5 - 22, then find the value of a2 - b2.

 

A) 2 B) 4
C) 2√2 D) 4√2
 
Answer & Explanation Answer: D) 4√2

Explanation:
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Q:

If SON = 678 and TEN = 948, then STONE =

 

A) 69797 B) 69784
C) 68784 D) 69764
 
Answer & Explanation Answer: B) 69784

Explanation:
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Filed Under: Coding and Decoding
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Q:

What least number must be subtracted from 13601, so that the remainder is divisible by 87 ?

A) 23 B) 31
C) 29 D) 37
 
Answer & Explanation Answer: C) 29

Explanation:

87)13601(156
       87
       -----
       490
       435
        -----
        551
        522
         -----
         29
         -----
Required number is 29.

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195 46729
Q:

If a2 + 1a2 = 3, then a3 + 1a3 = ?

 

A) 3√5 B) 2√5
C) 2√3 D) 3√3
 
Answer & Explanation Answer: B) 2√5

Explanation:
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Q:

Based on the analogy given, find the missing pair from the given options.

 

32 : 13 :: ___ : ___

 

A) 51 : 36 B) 83 : 121
C) 71 : 81 D) 47 : 65
 
Answer & Explanation Answer: D) 47 : 65

Explanation:
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Filed Under: Analogy
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7 46703
Q:

If 70!10 = -7, 70!5 = -14 and 40!4 = -10, then find the value of 20!2 = ?

 

A) 30 B) -10
C) 12 D) -24
 
Answer & Explanation Answer: B) -10

Explanation:
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