6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

A clock is set right at 8 a.m. The clock gains 10 minutes in 24 hours will be the true time when the clock indicates 1 p.m. on the following day?

A) 48 min. past 12.	B) 46 min. past 12.
C) 45 min. past 12.	D) 47 min. past 12.

Answer & Explanation Answer: A) 48 min. past 12.

Explanation:

Time from 8 a.m. on a day to 1 p.m. on the following day = 29 hours.

24 hours 10 min. of this clock = 24 hours of the correct clock.

$\frac{145}{6}$ hrs of this clock = 24 hours of the correct clock.

29 hours of this clock = $24 * \frac{6}{145} * 29$ hrs of the correct clock

= 28 hrs 48 min of the correct clock.

Therefore, the correct time is 28 hrs 48 min. after 8 a.m.

This is 48 min. past 12.

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Filed Under: Clocks
Exam Prep: Bank Exams
Job Role: Bank PO

710 134535

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 133710

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 133624

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 133139

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 133055

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 132977

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 131749

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 131310

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