6500+ Quantitative Aptitude Questions and Answers With Explanation

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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Filed Under: Simplification
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0 49451

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 49450

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

Answer & Explanation Answer: B) Only II

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0 49429

Q:

The sum of two numbers is 528 and their H.C.F is 33. The number of pairs of numbers satisfying the above condition is

A) 4	B) 6
C) 8	D) 12

Answer & Explanation Answer: A) 4

Explanation:

Let the required numbers be 33a and 33b.

Then 33a +33b= 528 => a+b = 16.

Now, co-primes with sum 16 are (1,15) , (3,13) , (5,11) and (7,9).

Therefore, Required numbers are ( 33 x 1, 33 x 15), (33 x 3, 33 x 13), (33 x 5, 33 x 11), (33 x 7, 33 x 9)

The number of such pairs is 4

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Filed Under: HCF and LCM

129 49375

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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Filed Under: Odd Man Out
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3 49348

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 49332

Q:

If $cosθ = 4 / 5$ , then $(secθ + cosecθ) =$

A) 7/5	B) 15/12
C) 35/12	D) 12/5

Answer & Explanation Answer: C) 35/12

Explanation:

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1 49310

Q:

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

I. (√11 + √2) > (√8 + √5)

II. (√10 + √3) > (√7 + √6

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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