6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

On dividing $24 a^{2} b^{2} by 6 b^{2}$ , we will get

A) 4b	B) 4ab
C) 4	D) 4a2

Answer & Explanation Answer: D) 4a2

Explanation:

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Q:

What is the value of cot 5π/3?

A) 1/√3	B) -1/√3
C) √3	D) -√3

Answer & Explanation Answer: B) -1/√3

Explanation:

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Q:

If x = 222, y = 223, z = 225 then the value of $x^{3} + y^{3} + z^{3} - 3 xyz$ is

A) 4590	B) 4690
C) 4950	D) 4960

Answer & Explanation Answer: B) 4690

Explanation:

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Q:

In $∆ XYZ$ measure of angle Y is 90 deg. If cosecX = 13/12, and XY = 1cm, then what is the length ( in cm ) of side YZ?

A) 2.6	B) 1.5
C) 2.4	D) 2

Answer & Explanation Answer: C) 2.4

Explanation:

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Q:

A rectangular red carpet of size 6 ft ×12 ft has a dark red border 6 inches wide. What is the area of the dark red border?

A) 9 square feet	B) 15 square feet
C) 17 square feet	D) 18 square feet

Answer & Explanation Answer: C) 17 square feet

Explanation:

Initially carpet is 6×12 = 72 sq feet

Since red border is 6 inches wide from all 4 side

So area without border = 5× 11 = 55 sq feet

Area of border = total–area without border = 72–55 = 17 sq feet

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Q:

In the question given below, two equations are provided. Solve the equations and establish the relationship between x and y

$I . 2 x^{2} - 13 x - 189 = 0 II . 2 y^{2} - 3 y - 189 = 0$

A) x>y	B) x≥y
C) x<y	D) x≤y

Answer & Explanation Answer:

Explanation:

I. 2x2 - 13x - 189 = 0 2x2 - 27x + 14x - 189 = 0 x(2x - 27) + 7(2x - 27) = 0 x = -7, 27/2

II. 2y2 - 3y - 189 = 0 2y2 - 21y + 18y - 189 = 0 y(2y - 21) + 9(2y - 21) = 0 y = -9, 21/2

When x, as well as y, have both positive and negative values then no relationship can be established between them because if we consider x to be positive then the negative value of y will be lesser than x. If we consider x to be negative then positive value of y will be greater than x.

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Q:

If each median of an equilateral triangle has a length of 12cm. Then what will be the value of in-radius (in cm) of the equilateral triangle?

A) 3	B) 4
C) 5	D) 6

Answer & Explanation Answer: B) 4

Explanation:

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Q:

The average of 41 consecutive odd numbers is 49. What is the largest number.

A) 89	B) 91
C) 93	D) 95

Quantitative Aptitude - Arithmetic Ability Questions

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