6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

On a ruler's tombstone, it is said that one sixth of his life was spent in childhood and one twelfth as a teenager. One seventh of his life passed between the time he became an adult and the time he married; five years later, his son was born. Alas, the son died four years before he did. He lived to be twice as old as his son did. How old did the ruler live to be ?

A) 84 years	B) 72 years
C) 82 years	D) 64 years

Answer & Explanation Answer: A) 84 years

Explanation:

Let the age of ruler is x so that of son = x/2 (given)
Now according to the given condition
(x/6) + (x/12) + (x/7) + 5 + (x/2) + 4 = x
=> x = 84

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

6 7633

Q:

The rational for the recurring decimal 0.125125......is

A) 125/99	B) 125/999
C) 125/9999	D) 125/9

Answer & Explanation Answer: B) 125/999

Explanation:

0.125125...... = $0 . \bar{125}$ = 125/999

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Filed Under: Decimal Fractions

12 7627

Q:

How many three digit numbers 'abc' are formed where two of the three digits are same ?

A) 252	B) 648
C) 243	D) 900

Answer & Explanation Answer: C) 243

Explanation:

Digits are 0,1,2,3,4,5,6,7,8,9. So no. of digits are 10

First all possible case => 9(0 excluded) x 10 x 10 = 900

Second no repetition allowed =>9 x 9 x 8 = 648

Third all digits are same => 9 (111,222,333,444,555,666,777,888,999)

Three digit numbers where two of the three digits are same = 900 - 648 - 9 = 243 ;

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

4 7623

Q:

A and B together finish a wor in 20 days.They worked together for 15 days and then B left. Afer another 10 days,A finished the remaining work. In how many days A alone can finish the job?

A) 30	B) 40
C) 50	D) 60

Answer & Explanation Answer: B) 40

Explanation:

(A+B)'s 15 days work = $(\frac{1}{20} \times 15) = \frac{3}{4}$

Remaining work = 1/4

Now, 1/4 work is done by A in 10 days.

Whole work will be done by A in (10 x 4) = 40 days.

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Filed Under: Time and Work

9 7623

Q:

A metallic sheet is of rectangular shape with dimensions 48 m x 36 m. From each of its corners, a square is cut off so as to make an open box. If the length of the square is 8m, the volume of the box (in m³) is:

A) 4830	B) 5120
C) 6420	D) 8960

Answer & Explanation Answer: B) 5120

Explanation:

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Filed Under: Volume and Surface Area

4 7612

Q:

An industrial loom weaves 1.14 meters of cloth every second. Approximately, how much time will it take to weave 52 meters of cloth ?

A) 29.32 sec	B) 42.51 sec
C) 39.25 sec	D) 45.61 sec

Answer & Explanation Answer: D) 45.61 sec

Explanation:

Given loom weaves 1.14 mts of cloth in one second then 52 mts of cloth can be weaved by loom in,

1.14 ----- 1

52.0 ------?

$\Rightarrow \frac{52}{1.14}$ = 45.61 sec

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Filed Under: Chain Rule
Exam Prep: CAT
Job Role: Bank PO

13 7610

Q:

In a lottery, there are 10 prizes and 25 blanks. A lottery is drawn at random. What is the probability of getting a prize ?

A) 1/7	B) 2/7
C) 3/7	D) 2/5

Answer & Explanation Answer: B) 2/7

Explanation:

P(getting prize) = 10/ (10 + 25) =2/7

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Filed Under: Probability

1 7603

Q:

The length of a rectangle is 12 cm. What is the width if the area is 72 cm ?

A) 6cm	B) 5cm
C) 3cm	D) 4cm

Quantitative Aptitude - Arithmetic Ability Questions

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