Quantitative Aptitude - Arithmetic Ability Questions

Q:

Four numbers A, B, C and D are such that their overall average is 16. The average of A and B is 9.5. The average of C and D is

A) 22.5 B) 23
C) 21.5 D) 25.5
 
Answer & Explanation Answer: A) 22.5

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Q:

The median of the numbers 4, 2, 2, 6, 3 and 8 is

A) 4.5 B) 3.5
C) 4 D) 3
 
Answer & Explanation Answer: B) 3.5

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Q:

If (a+1a)2=3, then the value of a6-1a6 will be

A) 1 B) 3
C) 0 D) 2
 
Answer & Explanation Answer: C) 0

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Q:

The ratio of two numbers is 5 : 9 and their difference is 44. What will be the smaller number among both the numbers?

 

A) 50 B) 65
C) 55 D) 70
 
Answer & Explanation Answer: C) 55

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Q:

A cone of height 12 cm and diameter 10 cm is mounted on a hemisphere of the same diameter. What is the volume of the solid thus formed?

A) 384.13 sq cm B) 576.19 sq cm
C) 192.06 sq cm D) 288.1 sq cm
 
Answer & Explanation Answer: B) 576.19 sq cm

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Q:

The least number to be added to 435 to make it a perfect square is

A) 8 B) 4
C) 3 D) 6
 
Answer & Explanation Answer: D) 6

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Q:

If sin = 2/3, find the value of secθ and cotθ

A) √5/2, 2/√5 B) 2/√5, 3/5
C) 3√5/5, √5/2 D) 3/5, 3√5/5
 
Answer & Explanation Answer: C) 3√5/5, √5/2

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Q:

Which of the following is correct?

A) (4x + 5y)(5x - 4y) = 20x2 + 9xy - 20y2 B) (4x + 5y)(5x - 4y) = 20x2 + 41xy - 20y2
C) (4x + 5y)(5x - 4y) = 20x2 - 9xy + 20y2 D) (4x + 5y)(5x - 4y) = 20x2 - 41xy + 20y2
 
Answer & Explanation Answer: A) (4x + 5y)(5x - 4y) = 20x2 + 9xy - 20y2

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