6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

The two equations x - 4y = 0 and 4x + 3y = 19 have a solution (a, b). Find the value of $\frac{ab}{a + 4 b}$ .

A) 1/4	B) 1/2
C) 1	D) 23

Answer & Explanation Answer: B) 1/2

Explanation:

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2 58500

Q:

If Sinx = 4/5, then $1 + {Tan}^{2} x =$

A) 9/25	B) 25/16
C) 4/25	D) 25/9

Answer & Explanation Answer: D) 25/9

Explanation:

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1 58492

Q:

Find the next number in the given number series?

11, 5.5, 10, 6.5, 9, ?

A) 6.5	B) 7.5
C) 8.5	D) 10.5

Answer & Explanation Answer: B) 7.5

Explanation:

The given number series follows a pattern that

11

11 - 5.5 = 5.5

5.5 + 4.5 = 10

10 - 3.5 = 6.5

6.5 + 2.5 = 9

9 - 1.5 = 7.5

Hence, the next number in the given number series is 7.5.

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2 58284

Q:

A fires 5 shots to B's 3 but A kills only once in 3 shots while B kills once in 2 shots. When B has missed 27 times, A has killed :

A) 30 birds	B) 60 birds
C) 72 birds	D) 90 birds

Answer & Explanation Answer: A) 30 birds

Explanation:

Let the no of shots be x. Then,

Shots fired by A =(5/8)x

Shots fired by B = (3/8)x

Killing shots by A = 1/3 of (5/8)x = (5/24)x

Shots missed by B = 1/2 of (3/8)x = (3/16)x

(3/16)x = 27 $\Rightarrow$ x =144

Birds killed by A = (5/24)x = (5/24)*144 = 30

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122 58216

Q:

Find the factors of $(x^{2} + x - 42)$

A) (x + 14)(x - 3)	B) (x + 6)(x - 7)
C) (x - 6)(x + 7)	D) (x - 14)(x + 3)

Answer & Explanation Answer: C) (x - 6)(x + 7)

Explanation:

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Q:

Simplify 5x(x + 2) + 4x

A) 5x2 + 10	B) 9x + 10
C) 5x2 - 14x	D) 5x2 + 14x

Answer & Explanation Answer: D) 5x2 + 14x

Explanation:

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Q:

What will come in place of the question mark in the series below?

2, 17, 89, 359, 1079, ?

A) 2137	B) 2121
C) 2377	D) 2159

Answer & Explanation Answer: D) 2159

Explanation:

Ans.
17 = 2 x 6 + 5
89 = 17 x 5 + 4
359 = 89 x 4 + 3
1079 = 359 x 3 + 2
? = 1079 x 2 + 1, i.e. ? = 2159

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3 58167

Q:

If $x^{2} + kx + k = 0$ has repeated roots, then the value of k will satisfy :

A) k<0 or k>4	B) k=4 only
C) 0<k<4	D) k=4 or k=0

Quantitative Aptitude - Arithmetic Ability Questions

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