Quantitative Aptitude - Arithmetic Ability Questions

Q:

tan3A is equal to

A) 3tanA -­ tan3A(1 -­ 3tan2A) B) 3tanA + tan3A(1 -­ 3tan2A)
C) 3tanA -­ tan3A(1 + 3tan2A) D) 3tanA + tan3A(1 + 3tan2A)
 
Answer & Explanation Answer: A) 3tanA -­ tan3A(1 -­ 3tan2A)

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Q:

If 2x - 5y = 5 and 2x - y = 9, then x - y is ______.

A) 2 B) 4
C) 6 D) 3
 
Answer & Explanation Answer: B) 4

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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:

If θ>0, be an acute angle, then the value of it in degrees satisfying cos2θ-3cosθ+2sin2θ=1 is

A) 90° B) 30°
C) 45° D) 60°
 
Answer & Explanation Answer: D) 60°

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Q:

Two equal circles intersect each other at point A and B, whose centers are O and O’. OO’ = 24 mm and AB = 10 mm, then find the area (in sq. mm) of the circle.

 

A) 530.66 B) 520.66
C) 510.33 D) 500.33
 
Answer & Explanation Answer: A) 530.66

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Q:

If tan π/3c + cosec π/6c = x, then x is

A) (1-√2)/√2 B) (√3+4)/2√3
C) √3+2 D) (2√2-1)/2
 
Answer & Explanation Answer: C) √3+2

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Q:

What is the value of sec2θ + 1sec2θ - 1 x 12cotθ - tanθ ?

A) 0 B) 1
C) cosec θ D) sec θ
 
Answer & Explanation Answer: B) 1

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Q:

If 5/6th of 7/6th of a number is 140, then 9/4th of that number is

A) 225 B) 87
C) 301 D) 324
 
Answer & Explanation Answer: D) 324

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