6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

Given that the polynomial $(x^{2} + ax + b)$ leaves that same remainder when by (x –1) or (x + 1) What are the values of a and b respectively?

A) 4 and 0	B) 0 and 3
C) 3 and 0	D) 0 and any interger

Answer & Explanation Answer: D) 0 and any interger

Explanation:

Since x^2+ ax + b when divided by x-1 or x+1 leaves the same remainder

So on putting x=1 and x=-1 we get the same value

1+a+b = 1-a+b

2a=0

a=0

here b can take any value as it will always get cancelled out

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Q:

If 2x- 2(x - 2) < 5 - x > -2x + 2; then the value of x is

A) 0	B) 2
C) 3	D) -4

Answer & Explanation Answer: A) 0

Explanation:

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Q:

Find the value of p if -3x - 11, x + p and 5x + 7 are in arithmetic progression.

A) 9	B) 2
C) -9	D) -2

Answer & Explanation Answer: D) -2

Explanation:

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Q:

If $a + b + c = 15 a n d \frac{1}{a} + \frac{1}{b} + \frac{1}{c} = \frac{71}{a b c},$ then the $a^{3} + b^{3} + c^{3} - 3 a b c$ is

A) 160	B) 180
C) 200	D) 220

Answer & Explanation Answer: B) 180

Explanation:

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Filed Under: Quantitative Aptitude - Arithmetic Ability

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Q:

What is the distance between the points (11,-5) and (-1,0)?

A) 169 units	B) 12 units
C) 13 units	D) 144 units

Answer & Explanation Answer: C) 13 units

Explanation:

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Filed Under: Time and Distance
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Q:

Shrenik switched on a bulb at 2 : 39 : 40 hours and switched it off on the same day at 12 : 30 : 34 hours. For how long was the bulb in switched-on mode?

A) 9 hours 9 minutes 6 sec	B) 12 hours 40 minutes 6 sec
C) 9 hours 50 minutes 54 sec	D) 10 hours 9 minutes 6 sec

Answer & Explanation Answer: C) 9 hours 50 minutes 54 sec

Explanation:

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Q:

A mason can build a wall in 18 hours. After 9 hours he takes a break. What fraction of the wall is yet to be built?

A) 0.9	B) 0.25
C) 0.5	D) 0.2

Answer & Explanation Answer: C) 0.5

Explanation:

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Q:

If (sinA + CosA)/(sin A - cos A) = 5/4, the value of (tan2A + 1)/(tan2A - 1) = ?

A) 41/40	B) 12/13
C) 40/41	D) -31/49

Quantitative Aptitude - Arithmetic Ability Questions

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