6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

If $\sqrt{15 \sqrt{15 \sqrt{15 \sqrt{15 \sqrt{15 . . . . . . . \infty}}}}}$ and x > 0, then find the value of $x^{2} + 4$ .

A) 125	B) 179
C) 200	D) 229

Answer & Explanation Answer: D) 229

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

0 50742

Q:

If A's height is 40% less than that of B, how much percent B's height is more than that of A?

A) 66.66%	B) 76.66%
C) 96.66%	D) 86.66%

Answer & Explanation Answer: A) 66.66%

Explanation:

Excess of B's height over A's = [(40/(100 - 40)] x 100% = 66.66%

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Filed Under: Percentage

198 50721

Q:

Find the odd man out of the following number series?

222, 271, 308, 332, 348, 357

A) 271	B) 308
C) 332	D) 348

Answer & Explanation Answer: B) 308

Explanation:

Here the given series 222, 271, 308, 332, 348, 357 follows a pattern that

222

222 + 49 271

271 + 36 = 307 (NOT 308)

307 + 25 = 332

332 + 16 = 348

348 + 9 = 357

Hence, the odd man in the fiven number series is 308.

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Filed Under: Odd Man Out
Exam Prep: AIEEE , Bank Exams , CAT , GATE
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1 50712

Q:

If $a^{2} + \frac{1}{a^{2}} = 3, then a^{3} + \frac{1}{a^{3}} = ?$

A) 3√5	B) 2√5
C) 2√3	D) 3√3

Answer & Explanation Answer: B) 2√5

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

0 50707

Q:

A certain sum of money amounts to Rs 1008 in 2 years and to Rs 1164 in 3 ½ years. Find the sum and the rate of interest.

A) 800, 14%	B) 800, 13%
C) 800, 12%	D) 800, 19%

Answer & Explanation Answer: B) 800, 13%

Explanation:

S.I. for 1 ½ years = Rs (1164 - 1008) = Rs 156 .

S.I. for 2 years = Rs (156 x $\frac{2}{3}$ x 2)= Rs 208.

Therefore, Principal = Rs (1008 - 208) = Rs 800.

Now, P = 800, T= 2 and S.I. = 208.

Therefore, Rate = (100 x S.I.) / (P x T) = [ (100 x 208)/(800 x 2)]% = 13%

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Filed Under: Simple Interest
Exam Prep: GRE

145 50684

Q:

What is the simplified value of

$\frac{1}{\sqrt{17} - \sqrt{16}} - \frac{1}{\sqrt{16} - \sqrt{15}} + \frac{1}{\sqrt{15} - \sqrt{14}} - \frac{1}{\sqrt{14} - \sqrt{13}} + \frac{1}{\sqrt{13} - \sqrt{12}}$ ?

A) 4 – 2√3	B) √17 – 3√2
C) √17 + √12	D) 4 + 2√3

Answer & Explanation Answer: C) √17 + √12

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

0 50652

Q:

Which of the following statements is/are true?

$I . 11 \frac{1}{2} + 17 \frac{3}{4} - 5 \frac{1}{5} - 2 \frac{1}{10} = \frac{439}{20} II . \frac{9}{1078} > \frac{11}{1127} > \frac{12}{1219} III . \frac{149}{151} > \frac{153}{155} > \frac{157}{159}$

A) Only I	B) Only II
C) Only III	D) None is true.

Answer & Explanation Answer: A) Only I

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

0 50613

Q:

If $p & q = p^{2} + 4 pq - q^{2}$ then find the value of (3 & 6) + (4 & 5).

A) 98	B) 106
C) 116	D) 126

Quantitative Aptitude - Arithmetic Ability Questions

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