Quantitative Aptitude - Arithmetic Ability Questions

Q:

If 3x -­ 7 = 5x ­- 1, then the numerical value of (x ­- 4)2 is 

A) 1 B) 49
C) -1 D) -49
 
Answer & Explanation Answer: B) 49

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Q:

If 3a – (3/a) – 3 = 0, then what is the value of a3  (1/a3) + 2?

A) 0 B) 2
C) 4 D) 6
 
Answer & Explanation Answer: D) 6

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Q:

What is the value of Tan 45° - 1/√3 Sec 60°?

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

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Q:

Select the odd word/letters/number/number pair from the given alternatives.

A) VR B) LH
C) SW D) FB
 
Answer & Explanation Answer: C) SW

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Q:

If secA + tanA = x, then find the value of x.

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

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Q:

The radius of a sphere is 6 cm. It is melted and drawn into a wire of radius 0.2 cm. The length of the wire is

A) 81 m B) 80 m
C) 75 m D) 72 m
 
Answer & Explanation Answer: D) 72 m

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Q:

Length and breadth of a rectangle are increased by 40% and 70% respectively. What will be the percentage increase in the area of rectangle?

A) 118 B) 110
C) 138 D) 128
 
Answer & Explanation Answer: C) 138

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Q:

The line passing through (­3,4) and (0,3) is perpendicular to the line passing through (5,7) and (4,x). What is the value of x?

A) 4 B) -2
C) 2 D) -4
 
Answer & Explanation Answer: A) 4

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