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 Quantitative Aptitude - Arithmetic Ability Questions

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Q:

The radii of two concentric circles are 68 cm and 22 cm. The area of the closed figure bounded by the boundaries of the circles is

A) 4140π sq.cm. B) 4110π sq.cm.
C) 4080π sq.cm. D) 4050π sq.cm.
 
Answer & Explanation Answer: A) 4140π sq.cm.

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Filed Under: Area
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Q:

tanAcosec2A is equal to

A) (1 + tan2A)cotA B) (1 -­ tan2A)cotA
C) √[(1 + tan2A)cotA] D) √[(1 -­ tan2A)cotA]
 
Answer & Explanation Answer: A) (1 + tan2A)cotA

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Q:

Find two numbers such that their mean proportion is 12 and third proportion is 768.

A) 3 and 24 B) 3 and 48
C) 6 and 48 D) 6 and 24
 
Answer & Explanation Answer: B) 3 and 48

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Filed Under: Ratios and Proportions
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Q:

If a + b = 1 and ab = -6, then what is the value of a3+ b3?

A) 17 B) 15
C) 19 D) 13
 
Answer & Explanation Answer: C) 19

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Q:

Let ΔABC and ΔABD be on the same base AB and between the same parallels AB and CD. Then the relation between areas of triangles ABC and ABD will be

A) 1 B) 2
C) 3 D) 4
 
Answer & Explanation Answer: D) 4

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Q:

What is the value of {sin (90 – x) cos [π – (x – y)]} + {cos (90 – x) sin [π – (y – x)]}?

A) -cos y B) -sin y
C) cos x D) tan y
 
Answer & Explanation Answer: A) -cos y

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Q:

Sec 45% + Tan 30% =

A) (√6 + 1)/√3 B) (1 + √3)/2
C) (√3 + 2)/√3 D) 5/√3
 
Answer & Explanation Answer: A) (√6 + 1)/√3

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Q:

Point Q(-2,b) is the midpoint of segment EF. Co-ordinates of E are (-7,-6) and F are (a,0). What is the value of a and b?

A) a = 3; b = -3 B) a = -3; b = -3
C) a = 3; b = 3 D) a = -3; b = 3
 
Answer & Explanation Answer: A) a = 3; b = -3

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