Aptitude and Reasoning Questions

Q:

The perimeter of a square is 26 cm. Find its area (in cm2).

 

A) 42.25   B) 84.5  
C) 39.25   D) 78.5
 
Answer & Explanation Answer: A) 42.25  

Explanation:
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Filed Under: Area
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Q:

Select the related letters from the given alternatives.

IJK : RQP :: TUV : ?

A) CDE B) YZZ
C) GFE D) DCB
 
Answer & Explanation Answer: C) GFE

Explanation:
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Filed Under: Analogy
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Q:

In a 100 m race, A can beat B by 25 m and B can beat C by 4 m. In the same race, A can beat C by

A) 21 m B) 26 m
C) 28m D) 29m
 
Answer & Explanation Answer: C) 28m

Explanation:

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Q:

The length of a rectangular plot is 20 metres more than its breadth. If the cost of fencing the plot @ Rs. 26.50 per metre is Rs. 5300, what is the length of the plot in metres?

A) 20 B) 200
C) 300 D) 400
 
Answer & Explanation Answer: B) 200

Explanation:

Let length of plot = L meters, then breadth = L - 20 meters

and perimeter = 2[L + L - 20] = [4L - 40] meters

[4L - 40]  * 26.50 = 5300

[4L - 40] = 5300 / 26.50 = 200

4L = 240

L = 240/4= 60 meters. 

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Q:

Select the related word/letters/numbers from the given alternatives:

42:20::64:?

A) 31 B) 32
C) 33 D) 34
 
Answer & Explanation Answer: A) 31

Explanation:
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Filed Under: Analogy
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Q:

How many 4-letter words with or without meaning, can be formed out of the letters of the word, 'LOGARITHMS', if repetition of letters is not allowed?

A) 4050 B) 3600
C) 1200 D) 5040
 
Answer & Explanation Answer: D) 5040

Explanation:

'LOGARITHMS' contains 10 different letters.

 

Required number of words = Number of arrangements of 10 letters, taking 4 at a time.

 

10P4

 

= 5040.

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Q:

In the following question, select the related letter pair from the given alternatives.

FOM : CLJ : : ?  :  ?

A) RQS : POQ B) RAX : OXU
C) JKN : MNQ D) ACD : CEF
 
Answer & Explanation Answer: B) RAX : OXU

Explanation:
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Filed Under: Analogy
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Q:

After replacing an old member by a new member, it was found that the average age of five members of a club is the same as it was 3 years ago. What is the difference between the ages of the replaced and the new member ?

A) 12 B) 13
C) 14 D) 15
 
Answer & Explanation Answer: D) 15

Explanation:

i) Let the ages of the five members at present be a, b, c, d & e years. 

And the age of the new member be f years. 

ii) So the new average of five members' age = (a + b + c + d + f)/5 ------- (1) 

iii) Their corresponding ages 3 years ago = (a-3), (b-3), (c-3), (d-3) & (e-3) years 

So their average age 3 years ago = (a + b + c + d + e - 15)/5 = x ----- (2) 

==> a + b + c + d + e = 5x + 15 

==> a + b + c + d = 5x + 15 - e ------ (3) 

iv) Substituting this value of a + b + c + d = 5x + 15 - e in (1) above, 

The new average is: (5x + 15 - e + f)/5 

Equating this to the average age of x years, 3 yrs, ago as in (2) above, 

(5x + 15 - e + f)/5 = x 

==> (5x + 15 - e + f) = 5x 

Solving e - f = 15 years. 

Thus the difference of ages between replaced and new member = 15 years.

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