6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

One fill pipe A is 3 times faster than second fill pipe B and takes 32 minutes less than the fill pipe B. When will the cistern be full if both pipes are opened together?

A) 6 min	B) 8 min
C) 12 min	D) 10 min

Answer & Explanation Answer: C) 12 min

Explanation:

Let pipe A takes p min to fill

Then,

pipe B takes 3p min to fill

=> 3p - p = 32

=> p = 16 min => 3p = 48 min

Required, both pipes to fill = (48 x 16)/(48 + 16) min = 12 min.

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Filed Under: Pipes and Cistern
Exam Prep: AIEEE , Bank Exams , CAT
Job Role: Analyst , Bank Clerk , Bank PO

20 15059

Q:

The capacity of a tank of dimensions (8m x 6m x 2.5m)is

A) 120 litres	B) 1200 litres
C) 12000 litres	D) 120000 litres

Answer & Explanation Answer: D) 120000 litres

Explanation:

capacity of a tank = volume of tank

= [ (8 x 100) x (6 x 100) x (2.5 x 100) ]/ 1000 litres

= 120000 litres

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Filed Under: Volume and Surface Area
Exam Prep: Bank Exams
Job Role: Bank PO

12 15040

Q:

Simple interest on a certain sum of money for 3 years at 8% per annum is half the compound interest on Rs. 4000 for 2 years at 10% per annum. The sum placed on simple interest is:

A) Rs.1550	B) Rs.1650
C) Rs,1750	D) Rs.1850

Answer & Explanation Answer: C) Rs,1750

Explanation:

C.I.= Rs.[4000*(1+10/100)^2-4000]

=Rs.840

sum=Rs.(420 * 100)/3*8=Rs.1750

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Filed Under: Compound Interest
Exam Prep: Bank Exams
Job Role: Bank PO

23 15017

Q:

A runs $1 \frac{2}{3}$ times as fast as B. If A gives B a start of 80 m, how far must the winning post be so that A and B might reach it at the same time?

A) 200 m	B) 300m
C) 270m	D) 160m

Answer & Explanation Answer: A) 200 m

Explanation:

Ratio of the speeds of A and B =5 : 1 = 5 :3

Thus, in race of 5 m, A gains 2 m over B.

2 m are gained by A in a race of 5 m.

80 m will be gained by A in race of $(\frac{5}{2} * 80)$ m =200m

=> Winning post is 200 m away from the starting point.

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Filed Under: Races and Games

27 15003

Q:

The average age of 80 boys in a class is 15. The average age of group of 15 boys in the class is 16 and the average of another 25 boys in the class is 14. What is the average age of the remaining boys in the class ?

A) 12.24 yrs	B) 13.25 yrs
C) 16 yrs	D) 15.25 yrs

Answer & Explanation Answer: D) 15.25 yrs

Explanation:

Total ages of 80 boys = 15 x 80 = 1200 yrs.
Total age of 16 boys = 15 x 16 = 240 yrs
Total age of 25 boys = 14 x 25 = 350 yrs.
Average age of remaining boys = 1200 - (240+350) / 80 - (25+15) = 610/41 = 15.25 yrs.

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Filed Under: Problems on Ages
Exam Prep: AIEEE , Bank Exams , CAT , GATE , GRE
Job Role: Bank Clerk , Bank PO

11 15002

Q:

Some children goto ice-cream shop. 9 flavours are available there. Each child takes a cone with two different flavours. No two children take same combination and they have taken all such possible combinations. How many children went to ice cream shop ?

A) 28	B) 56
C) 44	D) 36

Answer & Explanation Answer: D) 36

Explanation:

Given there are 9 flavours of ice creams.

Each child takes the combination of two flavours and no two children will have the same combination

This can be done by ways i.e children.

Number of children= $C_{2}^{9}$ = 9 x 8 / 1x 2 = 36.

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Filed Under: Permutations and Combinations
Exam Prep: GATE , CAT , Bank Exams , AIEEE
Job Role: Bank PO , Bank Clerk

4 14919

Q:

The variance of a set of data is 169. Then the standard deviation of the data is

A) +-13	B) 13
C) 69	D) 84.5

Answer & Explanation Answer: B) 13

Explanation:

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Filed Under: Probability
Exam Prep: Bank Exams

8 14910

Q:

The average age of the boys in a class is 16 years and that of the girls is 15 years. The average age for the whole class is :

A) 15	B) 20
C) 21	D) data inadequate

Answer & Explanation Answer: D) data inadequate

Explanation:

Clearly, to find the average, we ought to know the number of boys, girls or students in the class, neither of which has been given.

Quantitative Aptitude - Arithmetic Ability Questions

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