Aptitude and Reasoning Questions

Q:

Expanded and simplification of (x + 3)(x - 1) will be equal to

A) x2+ 2x - 3 B) x2 + 3x + 2
C) x2 - 2x + 3 D) x2 + 3x - 2
 
Answer & Explanation Answer: A) x2+ 2x - 3

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Q:

A line passing through the origin perpendicularly cuts the line 2x + 3y = 6 at point M. Find M?

A) (6/11, 9/11) B) (6/7, 9/7)
C) (6/11, -9/11) D) (-6/7, 9/7)
 
Answer & Explanation Answer: A) (6/11, 9/11)

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Q:

If a.sin 45°.cos 45°.tan60° = tan 245° ­ cos60° then find the value of a ?

A) 13 B) 3
C) 1 D) 32
 
Answer & Explanation Answer: A) 13

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Q:

The angle of elevation of the top of a tower from a point A on the ground is 30°. On moving a distance of 20 metres towards the foot of the tower to a point B, the angle of elevation increases to 60°. The height of the tower in meters is

A) √3 B) 5√3
C) 10√3 D) 20√3
 
Answer & Explanation Answer: C) 10√3

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Q:

What is the simplified value of sin2(90θ)[sin(90θ)sinθ/tanθ]?

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

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Q:

If 5 sec θ – 3 tan θ = 5, then what is the value of 5 tan θ – 3 sec θ?

A) 1 B) 2
C) 3 D) 4
 
Answer & Explanation Answer: C) 3

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Q:

How many times the keys of a typewriter have to be pressed in order to write numbers from 121 to 1346?

A) 3675 B) 4018
C) 4021 D) 4025
 
Answer & Explanation Answer: D) 4025

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Q:

If 2 cos θ = 2 – sin θ, then what is the value of cos θ?

A) 1 or 3/5 B) 1 or –1/2
C) –1 or–1/2 D) –1 or 3/5
 
Answer & Explanation Answer: A) 1 or 3/5

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