6500+ Quantitative Aptitude Questions and Answers With Explanation

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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Filed Under: Simplification
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1 56089

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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0 56039

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 55909

Q:

Find the odd man out?

16, 254, 1296, 4096, 10000

A) 16	B) 254
C) 1296	D) 10000

Answer & Explanation Answer: B) 254

Explanation:

The given series 16, 254, 1296, 4096, 10000 follows a pattern that

$2^{4}, 4^{4}, 6^{4}, 8^{4}, 10^{4}, . . .$

Hence, the odd man in the series is 4 x 4 x 4 x 4 = 256 not 254.

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Filed Under: Odd Man Out
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3 55883

Q:

The ratio of two numbers is 3 : 4 and their H.C.F is 4. Their L.C.M is

A) 12	B) 16
C) 24	D) 48

Answer & Explanation Answer: D) 48

Explanation:

Let the numbers be 3x and 4x . Then their H.C.F = x. So, x=4

Therefore, The numbers are 12 and 16

L.C.M of 12 and 16 = 48

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127 55854

Q:

$\frac{196}{0.196} = \frac{19.6}{x}$ then what will be the value of x?

A) 1.96	B) 10.96
C) 0.0196	D) 0.196

Answer & Explanation Answer: C) 0.0196

Explanation:

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0 55686

Q:

If x = 0.139, then what is the value of $\sqrt{4 x^{2} + 4 x + 1}$ ?

A) 1.39	B) 1.278
C) 2.139	D) 1.69

Answer & Explanation Answer: B) 1.278

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0 55602

Q:

Two cards are drawn together from a pack of 52 cards. The probability that one is a spade and one is a heart, is:

A) 3/20	B) 29/34
C) 47/100	D) 13/102

Answer & Explanation Answer: D) 13/102

Explanation:

Let S be the sample space.

Then, n(S) = $52 C_{2}$ =(52 x 51)/(2 x 1) = 1326.

Let E = event of getting 1 spade and 1 heart.

n(E)= number of ways of choosing 1 spade out of 13 and 1 heart out of 13 = $13 C_{1} * 13 C_{1}$ = 169.

Quantitative Aptitude - Arithmetic Ability Questions

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