Quantitative Aptitude - Arithmetic Ability Questions

Q:

A sphere of radius 5 cm is melted to form a cone with base of same radius. The height (in cm) of the cone is

A) 5 B) 10
C) 20 D) 22
 
Answer & Explanation Answer: C) 20

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Q:

If ab = 21 and a+b2a-b2 = 254,then the value of a2+b2+3ab

A) 115 B) 121
C) 125 D) 127
 
Answer & Explanation Answer: B) 121

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Q:

The value of ds+t÷ds÷dt

A) 0 B) d
C) 1 D) ds+t
 
Answer & Explanation Answer: C) 1

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Q:

If sec2θ+tan2θ=3, then sec4θ-tan4θ =

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

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Q:

Given a -­ b = 2, a3 - b3=26 then (a + b)2 is

A) 9 B) 4
C) 16 D) 12
 
Answer & Explanation Answer: C) 16

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Q:

If X + Y + Z = 9 then the value of (X -­ 4)3 + (Y -­ 2)3 + (Z -­ 3)3 - 3 (X -­ 4) (Y -­ Z) (Z ­- 3) is

A) 6 B) 9
C) 0 D) 1
 
Answer & Explanation Answer: C) 0

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Q:

If πsinθ= 1, πcosθ= 1, then (3tan 23θ+1) is

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

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Q:

If (x ­- 2) (x -­ p) = x2 - ax + 6, then the value of (a -­ p) is

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

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