Aptitude and Reasoning Questions

Q:

If (x + y + z) = 12, xy + yz + zx = 44 and xyz = 48, then what is the value of x3 + y3+ z3?

A) 104 B) 144
C) 196 D) 288
 
Answer & Explanation Answer: D) 288

Explanation:
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Q:

A series is given with one term missing. Choose the correct alternative from the given ones that will complete the series.

 

CD, FA, IX, LU, ?

 

A) TU B) RS
C) OP D) OR
 
Answer & Explanation Answer: D) OR

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Q:

A man moves 24 metres in south direction and turns 90 degrees anticlockwise and moves another 7 metres and takes a right turn and moves 3 metres and then moves 3 metres in the north direction. Find the distance between his initial and his final position.

A) 25 m B) 30 m
C) 27 m D) 35 m
 
Answer & Explanation Answer: A) 25 m

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Q:

What is the value of cot 5π/3?

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

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Q:

What is the value of {(sin 4x + sin 4y) [(tan 2x – 2y)]}/(sin 4x – sin 4y)?

A) tan 2 (2x + 2y) B) tan2
C) cot (x – y) D) tan (2x + 2y)
 
Answer & Explanation Answer: D) tan (2x + 2y)

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Q:

Choose a figure which would most closely resemble the unfolded form of Figure (Z).

A) A B) B
C) C D) D
 
Answer & Explanation Answer: B) B

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Q:

If a + b = 11 and a2+ b2= 61, then value of ab is

A) 12 B) 96
C) 24 D) 30
 
Answer & Explanation Answer: D) 30

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Q:

A 12 m long wire is cut into two pieces, one of which is bent into a circle and the other into a square enclosing the circle. What is the radius of the circle?

A) 12/π+4 B) 6/π+4
C) 3/π+4 D) 6/π+2√2
 
Answer & Explanation Answer: B) 6/π+4

Explanation:
As it is clear that 2r = a where a is the side of the square and
R is the radius of circle
It is given that 2πr + 4a = 12
a = 12/(π+4)
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