Aptitude and Reasoning Questions

Q:

The difference of squares of two numbers is 180. The square of the smaller number is 8 times the larger number. Find two numbers.

A) 10 & 12 B) 10 & 18
C) 12 & -18 D) -12 & 18
 
Answer & Explanation Answer: D) -12 & 18

Explanation:

Given, difference of the squares of two numbers is 180.

k2 - l2 - 180

 

Also, square of the smaller number is 8 times the larger.

= l= 8k

 

Thus, k2 - 8a - 180 = 0

k2 – 18k + 10k - 180 = 0

→  k(k - 18) + 10(k – 18) = 0

= (k + 10)(k – 18) = 0

→  k = -10, 18

 

Thus, the other number is

324 - 180 = l2 

 

→ Numbers are 12, 18 or -12, 18.

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Q:

1/2 - 1/8 =

A) 1/2 B) 3/8
C) 2/3 D) 3/2
 
Answer & Explanation Answer: B) 3/8

Explanation:

Now to find the difference in the given fractions, 1/2 - 1/8

First take the LCM of 2 & 8

LCM of 2 & 8 is 8

Then,

1/2 - 1/8

= (4 - 1)/8

= 3/8

 

Hence, 1/2 - 1/8 = 3/8.

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Q:

The largest 4 digit number exactly divisible by 88 is

A) 8888 B) 9999
C) 9944 D) 9988
 
Answer & Explanation Answer: C) 9944

Explanation:

To find the largest 4 digit number exactly divisible by 88,

We should divide the largest possible 4 digit number by 88, and if we get any remainder than subtract it from that largest number.

The largest possible 4 digit number is 9999

Now,

 

88) 9999 (113
      88
  _______
      119
        88
  _______
        319
        264
  _______
          55
  _______

 

Therefore, the largest 4 digit number exactly divisible by 88 is given by

9999 - 55 = 9944.

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Q:

Every integer is a rational number.

A) TRUE B) FALSE
Answer & Explanation Answer: A) TRUE

Explanation:

Yes, Every integer is a rational number.  A rational number is a number which can be expressed as a ratio of two integers numerator and denominator where (the denominator not being 0 ).


Hence, Every integer can be expressed in ratio of two integers. 

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Q:

5% of 400000?

A) 4000 B) 16000
C) 8000 D) 20000
 
Answer & Explanation Answer: D) 20000

Explanation:

5% of 400000

= 5 x 400000/100

= 20,000

 

Hence, 5% of 4,00,000 = 20,000

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Q:

First four multiples of 9?

Answer

A multiple of a number is the number multiplied by an integer.


The first four multiples of 9 are given by multiying the first 4 integers with number 9.


That is,


9 x 1 = 9


9 x 2 = 18


9 x 3 = 27


9 x 4 = 36


 


Hence, first four multiples of 9 are 9, 18, 27, 36.

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