Aptitude and Reasoning Questions

Q:

Expand and simplify (x + 5)2 + (x - 3)2

A) 2(x2 + 2x - 17) B) 2(x2 - 2x + 17)
C) 2(x2 - 2x - 17) D) 2(x2 + 2x + 17)
 
Answer & Explanation Answer: D) 2(x2 + 2x + 17)

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Q:

The point R(a,b) is first reflected in origin to R1 and R1 is reflected in x-axis to (-3,4). The co-ordinates of point R are

A) (3,4) B) (-3,-4)
C) (-3,4) D) (3,-4)
 
Answer & Explanation Answer: A) (3,4)

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Q:

What is the value of tan4A + tan2A?

A) sec4A - sec2A B) sec4A + sec2A
C) cosec4A - sec2A D) sec4A + cosec2A
 
Answer & Explanation Answer: A) sec4A - sec2A

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Q:

If (1 + cot2A) = x, then the value of x is

A) secA B) sinA
C) cosecA D) cosA
 
Answer & Explanation Answer: C) cosecA

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Q:

Of the 3 numbers whose average is 72, the first is 2/7 times the sum of other 2. The first number is

A) 48 B) 72
C) 32 D) 96
 
Answer & Explanation Answer: A) 48

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Q:

A cone is hollowed out of a solid wooden cube of side 7 cm. The diameter and height of the cone is same as the side of the cube. What is the volume of the remaining cube?

A) 253.17 cubic cms B) 228.84 cubic cms
C) 143.26 cubic cms D) 257.68 cubic cms
 
Answer & Explanation Answer: A) 253.17 cubic cms

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Q:

If 4(x + 1) - 3 < 3 - x < 2x + 5; then the value of x is

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

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Q:

If cosec 135° = x, then the value of x is

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

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