Aptitude and Reasoning Questions

Q:

A natural number when increased by 12 equals 160 times its reciprocal. Find the number?

A) 20 B) 12
C) 8 D) 4
 
Answer & Explanation Answer: C) 8

Explanation:

Let the required number be 'p'.

From the given data,

p + 12 = 160 x 1/p

=> p + 12 = 160/p

=> p(p + 12) = 160

=> P^2 + 12p - 160 = 0

=> p^2 + 20p - 8p - 160 = 0

=> P(p + 20) - 8(p + 20) = 0

=> (p + 20)(p - 8) = 0

=> p = -20 or p = 8

As, given the number is a natural number, so it can't be negative.

Hence, the required number p = 8.

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Q:

Which of the following number is divisible by 24?

A) 37804 B) 2015736
C) 36718 D) 53810
 
Answer & Explanation Answer: B) 2015736

Explanation:

Divisibility rule for 24 is the number should be divisible by 3 and 8. As we know that 24 = 3 x 8

Now, 

Divisibility rule for 3 :

If the sum of the digits of a number is divisible by 3, then the number is divisible by 3.

 

Divisibility rule for 8 :

The last three digits of a number should be divisible by 8.

Hence, check for the given options,

A) 37804 => 804 is not divible by 8.

C) 36718 => 718 is not divible by 8.

D) 53810 => 810 is not divible by 8.

B) 2015736 => 736 is divisble by 8 and sum 2 + 0 + 1 + 5 + 7 + 3 + 6 = 24 which is divisible by 3.

 

Hence, 2015736 is divisible by 24.

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Q:

The sum of the first 10 prime numbers is

A) even B) odd
C) 0 D) none
 
Answer & Explanation Answer: B) odd

Explanation:

To find the sum of first 10 prime numbers

First 10 prime numbers = 2, 3, 5, 7, 11, 13, 17, 19, 23, 29

 

Hence, The sum of the first 10 prime numbers is

(2+3+5+7+11+13+17+19+23+29) = 129 (ODD Number).

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Q:

A segment with endpoints on the circle

A) secant B) chord
C) tangent D) None of the above
 
Answer & Explanation Answer: B) chord

Explanation:

A segment with endpoints on the circle is a chord. The longest chord of a circle is a diameter of the circle.

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Q:

64/12 in simplest form?

A) 19/6 B) 32/4
C) 16/3 D) None of the above
 
Answer & Explanation Answer: C) 16/3

Explanation:

64/12 = 16/3 in simplest form.

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Q:

Find the odd man out 1 4 9 16 22 36?

A) 9 B) 16
C) 22 D) 36
 
Answer & Explanation Answer: C) 22

Explanation:

In the given series 1 4 9 16 22 36

1 = 1 x 1 

4 = 2 x 2

9 = 3 x 3

16 = 4 x 4

25 = 5 x 5 (Not 22)

36 = 6 x 6

 

Hence, the odd man in the series is 22.

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Q:

Two equal sums were lent, one at the rate of 11% per annum for five years and the other at the rate of 8% per annum for six years, both under simple interest. If the difference in interest accrued in the two cases is Rs 1008. Find the sum?

A) Rs. 14,400 B) Rs. 15,600
C) Rs. 14,850 D) Rs. 15,220
 
Answer & Explanation Answer: A) Rs. 14,400

Explanation:

Let the required Sum = Rs.S

 From the given data,

 1008 = [(S x 11 x 5)/100] - [(S x 8 x 6)/100]

 => S = Rs. 14,400.

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Q:

Find the odd man out of the series given

8, 16, 20, 36, 68

A) 68 B) 36
C) 20 D) 16
 
Answer & Explanation Answer: D) 16

Explanation:

The given number series is 8, 16, 20, 36, 68

8

8 x 2 - 4 = 12 (NOT 16)

12 x 2 - 4 = 20

20 x 2 - 4 = 36

36 x 2 - 4 = 68

 

Hence, the odd man in the given series is 16.

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