6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

8 litres are drawn from a cask full of wine and is then filled with water. This operation is performed three more times. The ratio of the quantity of wine now left in cask to that of the water is 16 : 65. How much wine the cask hold originally?

A) 18 litres	B) 24 litres
C) 32 litres	D) 42 litres

Answer & Explanation Answer: B) 24 litres

Explanation:

Let the quantity of the wine in the cask originally be x litres

Then, quantity of wine left in cask after 4 operations = $[x {(1 - \frac{8}{x})}^{4}]$ litres

$∴ [\frac{x {(1 - \frac{8}{x})}^{4}}{x}] = \frac{16}{81}$

$\Rightarrow {[1 - \frac{8}{x}]}^{4} = {(\frac{2}{3})}^{4}$

$\Rightarrow x = 24$

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Filed Under: Alligation or Mixture

577 133577

Q:

A trader mixes 26 kg of rice at Rs. 20 per kg with 30 kg of rice of other variety at Rs. 36 per kg and sells the mixture at Rs. 30 per kg. His profit percent is:

A) No profit, no loss	B) 5%
C) 8%	D) 10%

Answer & Explanation Answer: B) 5%

Explanation:

C.P. of 56 kg rice = Rs. (26 x 20 + 30 x 36) = Rs. (520 + 1080) = Rs. 1600.

S.P. of 56 kg rice = Rs. (56 x 30) = Rs. 1680.

Gain =(80/1600*100) % = 5%

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Filed Under: Profit and Loss

1023 133000

Q:

Find the unit digit of the expression

$31^{2} + 32^{2} + 33^{2} + 34^{2} + 35^{2} + 36^{2} + 37^{2} + 38^{2} + 39^{2}$

A) 1	B) 4
C) 5	D) 9

Answer & Explanation Answer: C) 5

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

8 132057

Q:

A bag contains 6 white and 4 black balls .2 balls are drawn at random. Find the probability that they are of same colour.

A) 1/2	B) 7/15
C) 8/15	D) 1/9

Answer & Explanation Answer: B) 7/15

Explanation:

Let S be the sample space

Then n(S) = no of ways of drawing 2 balls out of (6+4) = $10 C_{2}$ 10 = $\frac{10 * 9}{2 * 1}$ =45

Let E = event of getting both balls of same colour

Then,n(E) = no of ways (2 balls out of six) or (2 balls out of 4)

= $6 C_{2} + 4 C_{2}$ = $\frac{6 * 5}{2 * 1} + \frac{4 * 3}{2 * 1}$ = 15+6 = 21

Therefore, P(E) = n(E)/n(S) = 21/45 = 7/15

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Filed Under: Probability

771 131713

Q:

Find the odd man out.

331, 482, 551, 263, 383, 362, 284

A) 263	B) 383
C) 331	D) 551

Answer & Explanation Answer: B) 383

Explanation:

In each number except 383, the product of first and third digits is the middle one.

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Filed Under: Odd Man Out

69 131706

Q:

Find the odd man out of the following number series?

49, 81, 121, 169, 196, 225

A) 81	B) 121
C) 196	D) 225

Answer & Explanation Answer: C) 196

Explanation:

Here in the given number series 49, 81, 121, 169, 196, 225

Except 196 all others are squares of odd numbers, whereas 196 is a square of 14 which is an even number.

Hence, the odd man in the given number series is 196.

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Filed Under: Odd Man Out
Exam Prep: CAT , Bank Exams , AIEEE
Job Role: Bank PO , Bank Clerk , Analyst

1 130725

Q:

Solve the following:

22 - (1/4){-5 - (-48) $\div$ (-16)}

A) 0	B) 24
C) 22	D) 21

Answer & Explanation Answer: B) 24

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

8 130709

Q:

If $x^{2} + kx + k = 0$ has no solution, then the value of k will satisfy

A) k < 4	B) k > -4
C) k > 4	D) 0 < k < 4

Answer & Explanation Answer: D) 0 < k < 4

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams
Job Role: Bank Clerk

36 129342

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