6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

What is the value of sin 300°?

A) -1/2	B) 2
C) 2/√3	D) -√3/2

Answer & Explanation Answer: D) -√3/2

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Q:

Find the roots of the quadratic equation $27 x^{2} + 57 x - 14 = 0$

A) 2/9, 7/3	B) 2/9, -7/3
C) 9/2, -3/7	D) -9/2, 3/7

Answer & Explanation Answer: B) 2/9, -7/3

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Q:

$∆ DEF$ is right angled at E. If cosD = 5/13, then what is the value of tanF?

A) 5/13	B) 5/12
C) 13/5	D) 13/12

Answer & Explanation Answer: B) 5/12

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Q:

What is the value of 64% of 75% of 8100?

A) 4212	B) 3426
C) 2916	D) 3888

Answer & Explanation Answer: D) 3888

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Q:

In the following questions two equations numbered I and II are given. You have to solve boththe equations and give answers

I. 2x ² –21x + 54 = 0

II. y ² –14y + 49 = 0

A) x = y or relation can’t be established between x and y	B) x > y
C) x < y	D) x ≥ y

Answer & Explanation Answer: C) x < y

Explanation:

I. 2x ² –21x + 54 = 0(x -6)(2x -9)x =+6, +9/2

II. y ² –14y + 49 = 0(y-7) (y-7)y = +7, +7y > x

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Q:

If $x + \frac{1}{x} \neq 0 and x^{3} + \frac{1}{x^{3}} = 0, then the value of {(x + \frac{1}{x})}^{4} is :$

A) 9	B) 12
C) 15	D) 16

Answer & Explanation Answer: A) 9

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Q:

What is the remainder when 6729 is divided by 35?

A) 11	B) 7
C) 19	D) 13

Answer & Explanation Answer: C) 19

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Q:

A man travels 401 kilometres in, partly by rail and partly by steamer. He spends 6 hours more time on steamer. If the velocity of the steamer is 21 km/hr and the velocity of rail is 56 km/hr, how much distance does he cover by steamer?

A) 241 km	B) 302 km
C) 201 km	D) 362 km

Quantitative Aptitude - Arithmetic Ability Questions

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