Quantitative Aptitude - Arithmetic Ability Questions

Q:

If x2 = 252 - 152, then find the value of x?

 

A) 40 B) 50
C) 20 D) 25
 
Answer & Explanation Answer: C) 20

Explanation:
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Q:

Which of the following statements is/are TRUE?

1. 64 + 0.64 + 0.0064 = 8.882. 81 + 0.81 + 0.0081 = 9.09

 

A) Only I B) Only II
C) Neither I nor II D) Both I and II
 
Answer & Explanation Answer: A) Only I

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Q:

Find the volume (in cm3) of a right circular cone of diameter 7 cm and height 7 cm.

 

A) 69.06   B) 16.43  
C) 11.15   D) 89.83
 
Answer & Explanation Answer: D) 89.83

Explanation:
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Q:

Find the next number in the given number series?

50, 51, 47, 56, 40, ?

A) 58 B) 65
C) 76 D) 81
 
Answer & Explanation Answer: B) 65

Explanation:

The given number series is 50, 51, 47, 56, 40, ?

 

5050 + 12 = 5151 - 22 = 4747 + 32 = 5656 - 42 = 4040 + 52 = 65

 

Hence, the next number in the given number series is 65.

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Q:

Find the odd number in the given number series?

14, 27, 105, 525, 4993

A) 27 B) 105
C) 525 D) 4993
 
Answer & Explanation Answer: C) 525

Explanation:

The given number series is 14, 27, 105, 525, 4993

14

14 x 2 - 1 = 27

27 x 4 - 3 = 105

105 x 6 - 5 = 625 (not 525)

625 x 8 - 7 = 4993

 

Hence, the odd man or number in the given number series is 525.

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Q:

Find the odd man out of the following number sequence?

3, 5, 13, 43, 167

A) 167 B) 43
C) 13 D) 5
 
Answer & Explanation Answer: A) 167

Explanation:

The given number series is 3, 5, 13, 43, 167

3

3 x 1 + 2 = 5

5 x 2 + 3 = 13

13 x 3 + 4 = 43

43 x 4 + 5 = 177 (not equal to 167)

 

Hence, the odd number in the given number sequence is 167. 

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Q:

Use continuity to evaluate the limit.

limx128+x8+x

 

A) 1 B) 2
C) 4 D) 0
 
Answer & Explanation Answer: A) 1

Explanation:

Since, we have that,

The numerator and denominator is (8+x), which is a polynomial is continuous for all the real numbers i.e. for all x belonging to .

Thus, the limit exists and is given by,

limx128+x8+x = 8+128+12= 1.

 

 

 

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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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