6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

Find the Next Number in the given number series?

3, 10.5, 36.75, 128.625, ?

A) 450.187	B) 442.151
C) 441.231	D) 456.852

Answer & Explanation Answer: A) 450.187

Explanation:

Pattern is

3

3 x 3.5 = 10.5

10.5 x 3.5 = 36.75

36.75 x 3.5 = 128.625

128.625 x 3.5 = 450.187

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9 51701

Q:

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

I. 4√3 > 3√4

II. 8√2 > 2√8

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

Answer & Explanation Answer: D) Both I and I

Explanation:

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0 51652

Q:

If $p = \sqrt{72 - \sqrt{72 - \sqrt{72 - \sqrt{72 - . . . . . \infty}}}}$ , then find the value of $2 p^{2} + 1$ ?

A) -129	B) -163
C) 129	D) 163

Answer & Explanation Answer: C) 129

Explanation:

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1 51582

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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3 51509

Q:

Find the value of ${[7 {(64^{\frac{1}{3}} + 27^{\frac{1}{3}})}^{3}]}^{\frac{1}{4}}$

A) 7	B) 6
C) 49	D) 343

Answer & Explanation Answer: A) 7

Explanation:

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2 51507

Q:

Seats for Mathematics, Physics and Biology in a school are in the ratio 5:7:8. There is a proposal to increase these seats by 40%, 50% and 75% respectively. What will be the ratio of increased seats ?

A) 1:2:3	B) 2:3:4
C) 3:4:5	D) 4:5:6

Answer & Explanation Answer: B) 2:3:4

Explanation:

Originally, let the number of seats for Mathematics, Physics and Biology be 5x, 7x and 8x respectively.
Number of increased seats are (140% of 5x), (150% of 7x) and (175% of 8x).
⇒ [(140/100) × 5x],[(150/100) × 7x] and [(175/100) × 8x]
⇒ 7x, 21x/2 and 14x.

⇒ The required ratio =7x : 21x/2 : 14x
⇒ 14x : 21x : 28x
⇒ 2 : 3 : 4

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162 51483

Q:

If x = 4 + √15, then what is the value of $[x^{2} + (1 / x^{2})]$ ?

A) 62	B) 64
C) 34	D) 36

Answer & Explanation Answer: A) 62

Explanation:

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0 51438

Q:

Reena and Shaloo are partners in a business, Reena invests Rs, 35,000 for 8 months and Shaloo invests Rs. 42,000 for 10 months, out of a profit of Rs. 31,570, Reena's share is :

A) 12628	B) 18245
C) 11235	D) 10253

Quantitative Aptitude - Arithmetic Ability Questions

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