Aptitude and Reasoning Questions

Q:

Some carpenters promised to do a job in 15 days but 3 of them were absent and remaining did the job in 20 days. What was the original number of carpenters?

A) 10 B) 15
C) 12 D) 14
 
Answer & Explanation Answer: C) 12

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Q:

What is the value of [(sin 7x – sin 5x)÷(cos 7x + cos 5x)] – [(cos 6x – cos 4x)÷(sin 6x + sin 4x)]?

A) 1 B) 2 tan x
C) tan 2 x D) tan (3 x/2)
 
Answer & Explanation Answer: B) 2 tan x

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Q:

If tan2A - tan2B = x, then the value of x is

A) (sin2A - sin2B)/(cos2A cos2B) B) (sin2A sin2B)/(cos2A - cos2B)
C) (sin2A + sin2B)/(cos2A cos2B) D) (sin2A sin2B)/(cos2A + cos2B)
 
Answer & Explanation Answer: A) (sin2A - sin2B)/(cos2A cos2B)

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Q:

Square of (3x – 5xy) is

A) 9x2 - 30x2y + 25x2y2 B) 9x2 - 15x2y + 25x2y2
C) 25x2 - 15x2y + 9x2y2 D) 25x2 - 30x2y + 9x2y2
 
Answer & Explanation Answer: A) 9x2 - 30x2y + 25x2y2

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Q:

If 2x/3 - [5(4x/5 - 4/3)]/2 = 1/3, then what is the value of x?

A) 9/4 B) 4/9
C) -9/4 D) -4/9
 
Answer & Explanation Answer: A) 9/4

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Q:

In a class of 50 students there are 27 boys. The average weight of these boys is 72 Kg and average weight of the full class is 55.44 kgs. What is the average weight (in kgs) of the girls of the class?

A) 42 B) 48
C) 30 D) 36
 
Answer & Explanation Answer: D) 36

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Filed Under: Average
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Q:

What is the area (in sq cm) of a regular hexagon of side 6 cm?

A) 27√3 B) 54√3
C) 54 D) 27
 
Answer & Explanation Answer: B) 54√3

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Q:

θ is a positive acute angle and sinθ ­ cosθ = 0, then the value of secθ + cosecθ is

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

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