6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

Find the next number in the given number series?

96, 95, 87, 78, ?

A) 64	B) 57
C) 29	D) 14

Answer & Explanation Answer: D) 14

Explanation:

The given number series is 96, 95, 87, 78, ?

It follows a pattern that,

$96 96 - 1^{2} = 95 95 - 2^{3} = 95 - 8 = 87 87 - 3^{2} = 87 - 9 = 78 78 - 4^{3} = 78 - 64 = 14$

Hence, the next number in the given number series is 14.

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3 49104

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

Answer & Explanation Answer: D) k=4 or k=0

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

0 49078

Q:

Solve the following :

$24 - [25 - \{26 - (27 - \bar{28 - 29})\}] = ?$

A) -1	B) 1
C) -3	D) -2

Answer & Explanation Answer: C) -3

Explanation:

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3 49040

Q:

Two trains A and B start simultaneously in the opposite direction from two points P and Q and arrive at their destinations 16 and 9 hours respectively after their meeting each other. At what speed does the second train B travel if the first train travels at 120 km/h

A) 90 km/h	B) 160 km/h
C) 67.5 km/h	D) None of these

Answer & Explanation Answer: B) 160 km/h

Explanation:

$\frac{s_{1}}{s_{2}} = \sqrt{\frac{t_{2}}{t_{1}}}$

$\Rightarrow \frac{120}{s_{2}} = \sqrt{\frac{9}{16}} = \frac{3}{4}$

$\Rightarrow$ $s_{2} = 160 k m / h$

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Filed Under: Time and Distance

164 49032

Q:

The product of two numbers is 4107. If the H.C.F of these numbers is 37, then the greater number is

A) 101	B) 107
C) 111	D) 185

Answer & Explanation Answer: C) 111

Explanation:

Let the numbers be 37a and 37b. Then , 37a x 37b =4107 => ab = 3.

Now co-primes with product 3 are (1,3)

So, the required numbers are (37 x 1, 37 x 3) i.e, (37,111).

Therefore, Greater number = 111.

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Filed Under: HCF and LCM

64 48979

Q:

If $p + \frac{1}{p} = \sqrt{10}$ , then the value of $p^{4} + \frac{1}{p^{4}}$ .

A) 52	B) 60
C) 62	D) 65

Answer & Explanation Answer: C) 62

Explanation:

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Exam Prep: Bank Exams

0 48968

Q:

Find the next number in the given number series?

50, 51, 47, 56, 40, ?

A) 58	B) 65
C) 76	D) 81

Answer & Explanation Answer: B) 65

Explanation:

The given number series is 50, 51, 47, 56, 40, ?

$50 50 + 1^{2} = 51 51 - 2^{2} = 47 47 + 3^{2} = 56 56 - 4^{2} = 40 40 + 5^{2} = 65$

Hence, the next number in the given number series is 65.

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3 48939

Q:

Which of the following statement(s) is/are TRUE?

$I . \frac{\sqrt{225} + \sqrt{441}}{\sqrt{256}} > 2.5 II . \frac{\sqrt{289} + \sqrt{529}}{\sqrt{169}} > 3$

A) Only I	B) Only II
C) Neither I nor II	D) Both I and II

Quantitative Aptitude - Arithmetic Ability Questions

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