6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

Find the mean value of 2, 3, 3, 4, 6, 7

A) 4.17	B) 4.15
C) 4.13	D) 4.70

Answer & Explanation Answer: A) 4.17

Explanation:

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Q:

If 3a – (3/a) – 3 = 0, then what is the value of $a^{3} - (1 / a^{3}) + 2$ ?

A) 0	B) 2
C) 4	D) 6

Answer & Explanation Answer: D) 6

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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:

The ratio of incomes of C and D is 3 : 2. Ratio of income of D and E is 5 : 4. If one-third of C’s income is Rs 4000 more than the half of E’s income, then what is the D’s income (in Rs)?

A) 40000	B) 43000
C) 50000	D) 60000

Answer & Explanation Answer: A) 40000

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Q:

What are the co-ordinates of the centroid of a triangle, whose vertices are A(1, -5), B(4, 0) and C(-2, 2)?

A) (1 , -1)	B) (-1 , 1)
C) (2 , -2)	D) (-2 , 2)

Answer & Explanation Answer: A) (1 , -1)

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Q:

If Cot θ = 21/20, then what is the value of Cosec θ?

A) 21/29	B) 29/21
C) 20/29	D) 29/20

Answer & Explanation Answer: D) 29/20

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Q:

If -3/2 + (2/3)(3x + 9) = x/2, then what is the value of x?

A) -9	B) 11
C) 9	D) -3

Answer & Explanation Answer: D) -3

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Q:

The value of the expression $2 (\sin^{6} θ + \cos^{6} θ) - 3 (\sin^{4} θ + \cos^{4} θ) + 1$ is

A) -1	B) 0
C) 1	D) 2

Quantitative Aptitude - Arithmetic Ability Questions

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