6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

In the given questions, two equations numbered I and II are given. Solve both the equation and mark the appropriate answer.

$I . x^{2} - 5 x - 24 = 0 II . 2 y^{2} + 19 y + 35 = 0$

A) x > y	B) x>y
C) x < y	D) x<y

Answer & Explanation Answer:

Explanation:

x^2–5x –24 = 0

(x-8) (x+3)

x = 8, -3

II. 2y^2+ 19y + 35 = 0

(2y+7) (y+7)y= -7, -5/2

So can’t be determined

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Q:

The point P(5,-2) divides the segment joining the points (x,0) and (0,y) in the ratio 2:5. What is the value of x and y?

A) x = -7; y = 7	B) x = 3; y = -3
C) x = 7; y = -7	D) x = -3; y = 3

Answer & Explanation Answer: C) x = 7; y = -7

Explanation:

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Q:

In ΔDEF measure of angle E is 90°. If cosD = 8/17, and DE = 16cm, then what is the length (in cm) of side DF?

A) 30	B) 20
C) 26	D) 34

Answer & Explanation Answer: D) 34

Explanation:

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Filed Under: Area
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Q:

If 31x + 31y = 403, then what is the average of x and y?

A) 3.5	B) 5
C) 6.5	D) 13

Answer & Explanation Answer: C) 6.5

Explanation:

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Q:

What is the value of $\frac{1}{\sin^{4} (90 - θ)} + \frac{1}{[\cos^{2} (90 - θ) - 1]}$ ?

A) tan2θ sec2θ	B) sec4θ
C) tan4θ	D) tan2θ sin2θ

Answer & Explanation Answer: A) tan2θ sec2θ

Explanation:

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Q:

Choose the word is least like the other words in the group

A) Canoe	B) Dingy
C) Yatch	D) Igloo

Answer & Explanation Answer: D) Igloo

Explanation:

Canoe, Dingy, Yatch are the type of boats while igloo is a type of houses.

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Q:

If 2x + 5 > 2 + 3x and 2x - 3 ≤ 4x - 5, then x can take which of the following values?

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

Answer & Explanation Answer: B) 2

Explanation:

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Q:

For which value of ‘g’ the linear graph of 6x + 12y +9 = 0 and 2x + gy + 3 =0 has infinite number of solutions?

A) 3	B) 4
C) 6	D) 9

Quantitative Aptitude - Arithmetic Ability Questions

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