Quantitative Aptitude - Arithmetic Ability Questions

Q:

If 2cosAsinB = x, then the value of x is?

A) sin(A+B) + sin(A­-B) B) cos(A+B) + cos(A­-B)
C) sin(A+B) ­- sin(A-­B) D) cos(A­-B) -­ cos(A+B)
 
Answer & Explanation Answer: C) sin(A+B) ­- sin(A-­B)

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Q:

If √[(1 - cosA)/2] = x, then the value of x is

A) cos(A/2) B) tan(A/2)
C) sin(A/2) D) cot(A/2)
 
Answer & Explanation Answer: C) sin(A/2)

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Q:

What is the equation of the line whose y­-intercept is ­3/4 and making an angle of 45° with the positive x-­axis?

A) 4x -­ 4y = 3 B) 4x - 4y = -­3
C) 3x -­ 3y = 4 D) 3x ­- 3y = -­4
 
Answer & Explanation Answer: A) 4x -­ 4y = 3

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Q:

What is the reflection of the point (6, -1) in the line y = 2?

A) (-2 , -1) B) (-6 , 5)
C) (-2 , 1) D) (6 , 5)
 
Answer & Explanation Answer: D) (6 , 5)

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Q:

If Tan θ = 7/24, then what is the value of Cosec θ?

A) 25/24 B) 25/7
C) 24/7 D) 24/25
 
Answer & Explanation Answer: B) 25/7

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Q:

In ΔABC, AC = BC and ∠ABC = 50°, the side BC is produced to D so that BC = CD then the value of ∠BAD is

A) 80° B) 40°
C) 90° D) 50°
 
Answer & Explanation Answer: C) 90°

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Q:

If 3x^2 + ax + 4 is perectly divisible by x - 5, then the value of a is :

A) -5 B) -15.8
C) -12 D) -15.6
 
Answer & Explanation Answer: B) -15.8

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Q:

The value of (1 - √2) + (√2 - √3) + (√3 - √4) + ..... + (√15 - √16) is

A) 0 B) 1
C) -3 D) 4
 
Answer & Explanation Answer: C) -3

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