5555+ Aptitude and Reasoning Questions, 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

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

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

$\Rightarrow x = 24$

Report Error

View Answer Report Error Discuss

Filed Under: Alligation or Mixture

561 131505

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.

Report Error

View Answer Report Error Discuss

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

681 130311

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%

Report Error

View Answer Report Error Discuss

Filed Under: Profit and Loss

995 130000

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

Report Error

View Answer Report Error Discuss

Filed Under: Probability

731 128034

Q:

A, B and C can do a piece of work in 24 days, 30 days and 40 days respectively. They began the work together but C left 4 days before the completion of the work. In how many days was the work completed?

A) 11 days	B) 12 days
C) 13 days	D) 14 days

Answer & Explanation Answer: A) 11 days

Explanation:

One day's work of A, B and C = (1/24 + 1/30 + 1/40) = 1/10.

C leaves 4 days before completion of the work, which means only A and B work during the last 4 days.

Work done by A and B together in the last 4 days = 4 (1/24 + 1/30) = 3/10.

Remaining Work = 7/10, which was done by A,B and C in the initial number of days.

Number of days required for this initial work = 7 days.

Thus, the total numbers of days required = 4 + 7 = 11 days.

Report Error

View Answer Report Error Discuss

Filed Under: Time and Work

495 126082

Q:

Find the missing number in the series?

4, 18, ?, 100, 180, 294, 448

A) 48	B) 50
C) 58	D) 60

Answer & Explanation Answer: A) 48

Explanation:

Take a Look at this series :

$2^{3}$ - $2^{2}$ = 8 - 4 = 4

$3^{3}$ - $3^{2}$ = 27 - 9 = 18

$4^{3}$ - $4^{2}$ = 64 - 16 = 48

$5^{3}$ - $5^{2}$ = 125 - 25 = 100

$6^{3}$ - $6^{2}$ = 216 - 36 = 180

$7^{3}$ - $7^{2}$ = 343 - 49 = 294

$8^{3}$ - $8^{2}$ = 512 - 64 = 448

Report Error

View Answer Report Error Discuss

Filed Under: Number Series

1834 120955

Q:

Three number are in the ratio of 3 : 4 : 5 and their L.C.M. is 2400. Their H.C.F. is:

A) 40	B) 80
C) 120	D) 200

Answer & Explanation Answer: A) 40

Explanation:

Let the numbers be 3x, 4x and 5x.

Then, their L.C.M. = 60x.

So, 60x = 2400 or x = 40.

The numbers are (3 x 40), (4 x 40) and (5 x 40).

Hence, required H.C.F. = 40.

Report Error

View Answer Report Error Discuss

Filed Under: HCF and LCM

420 119091

Q:

Find the wrong number in the series.

1, 2, 6, 15, 31, 56, 91

A) 31	B) 15
C) 56	D) 91

Answer & Explanation Answer: D) 91

Explanation:

The difference of the two consecutive numbers are 1, 4, 9, 16, 25, 35.

This is clearly , $+ (1^{2}), + (2^{2}), + (3^{2}), + (4^{2}), + (5^{2}), + (6^{2})$

Here 35 is wrong, So our wrong number is 91

Report Error

View Answer Report Error Discuss

Filed Under: Number Series

538 116536

Aptitude and Reasoning Questions

What are Different sections in Aptitude and Reasoning Question and Answers?

Why Aptitude and Reasoning Questions?

What type of questions are there in Aptitude and Reasoning tests?

Non Verbal Reasoning

Quantitative Aptitude - Arithmetic Ability

Quantitative Aptitude - Data Interpretation

Verbal Reasoning - Logical Deduction

Verbal Reasoning - Mental Ability

Quick Links