Aptitude and Reasoning Questions

Q:

If x is a whole number, then x²(x² - 1) is always divisible by ?

A) 4 B) 8
C) 12 D) None
 
Answer & Explanation Answer: C) 12

Explanation:

we can do this by trial and error method.

Putting x = 2,we get 2²(2² - 1) = 12.
checking with other integers, the above equation always gives a value which is a multiple of 12,
So, x²(x² - 1) is always divisible by 12.

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Filed Under: Numbers
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14 14518
Q:

What is the third proportional to 16 and 36 ?

Answer

Let  \inline 6:8::15:x


\inline 16x=36\times 36


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Q:

Two bike riders ride in opposite directions around a circular track, starting at the same time from the same point. Biker A rides at a speed of 16 kmph and biker B rides at a speed of 14 kmph. If the track has a diameter of 40 km, after how much time (in hours) will the two bikers meet?

A) 6.52 B) 8.14
C) 4.18 D) 5.02
 
Answer & Explanation Answer: C) 4.18

Explanation:

Distance to be covered = πD = 40π km 

Relative speed of bikers = 16 + 14 = 30 kmph.

 

Now, time=distancespeed =  40π30 = 4.18 hrs.

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Filed Under: Time and Distance
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Q:

Refer the below data table and answer the following question.

 

How many students have scored marks 20 or more but less than 40?

A) 43 B) 60
C) 30 D) 103
 
Answer & Explanation Answer: C) 30

Explanation:
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Filed Under: Table Charts
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Q:

What is the ratio whose terms differ by 40 and the measure of which is 2/7 ?

A) 16:56 B) 14:56
C) 15:56 D) 16:72
 
Answer & Explanation Answer: A) 16:56

Explanation:

Let the ratio be x : (x + 40), then ,

 

 

 

xx+40=27 

 

 7x = 2x + 80 

 

 x = 16 

 

Required ratio = 16 : 56

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Filed Under: Ratios and Proportions

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Q:

Refer the below data table and answer the following question.

What is the ratio of boys to girls ?

 

A) 33 : 28 B) 33 : 34
C) 34 : 33 D) 28 : 33
 
Answer & Explanation Answer: D) 28 : 33

Explanation:
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Q:

Arrange the given words in the sequence in which they occur in the dictionary.

1. Charge

2. Character

3. Chemist

4. Cheap

5. Check

 

A) 21453 B) 12345
C) 35241 D) 23451
 
Answer & Explanation Answer: A) 21453

Explanation:
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Filed Under: Logical Sequence of Words
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3 14483
Q:

Sum of the ages of Rajesh, Suresh, Mahesh and Dinesh is 76 years. 7 years hence, their age ratio is 7:6:5:8. Find Mahesh’s present age ?

A) 17 years B) 13 years
C) 14 years D) 16 years
 
Answer & Explanation Answer: B) 13 years

Explanation:

Given R + S + M + D = 76

=> R+7 : S+7 : M+7 : D+7 = 7:6:5:8

=> Let the ratio = x

=> M+7 = 5x

=> M = 5x-7

=> R = 7x-7

=> S = 6x-7

=> D = 8x-7

=> R + S + M + D = 76

=> 7x-7 + 6x-7 + 5x-7 + 8x-7 = 76

=> 26x - 28 = 76

=> 26x = 104

=> x = 4

=> Mahesh's present age = 5x-7 = 20 - 7 = 13 years.

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Filed Under: Problems on Ages
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