6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

Amar can do a piece of work in 10 days. He works at it for 4 days and then Arun finishes it in 9 days. In how many days can Amar and Arun together finish the work ?

A) 4 days	B) 8 days
C) 3 days	D) 6 days

Answer & Explanation Answer: D) 6 days

Explanation:

4/10 + 9/x = 1 => x = 15

Then both can do in

1/10 + 1/15 = 1/6 => 6 days

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Filed Under: Time and Work
Exam Prep: GRE , GATE , CAT , Bank Exams , AIEEE
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19 18781

Q:

Three houses are available in a locality. Three persons apply for the houses. Each applies for one house without consulting others. The probability that all the three apply for the same house is :

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

Answer & Explanation Answer: B) 1/9

Explanation:

One person can select one house out of 3= $3 C_{1}$ ways =3.

Hence, three persons can select one house out of 3 in 3 x 3 x 3 =9.

Therefore, probability that all thre apply for the same house is 1/9

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Filed Under: Probability

50 18774

Q:

At what time, in minutes, between 3 o'clock and 4 o'clock, both the needles will coincide each other?

A. $5 \frac{1}{11}$

B. $15 \frac{4}{15}$

C. $16 \frac{4}{11}$

D. $4 \frac{4}{15}$

A) Option A	B) Option B
C) Option C	D) Option D

Answer & Explanation Answer: C) Option C

Explanation:

At 3 o'clock, the minute hand is 15 min. spaces apart from the hour hand.

To be coincident, it must gain 15 min. spaces.

55 min. are gained in 60 min.

Then 15 min spaces are gained in = $\frac{60}{55} \times 15$ min.

Therefore, The hands are coincident at $16 \frac{4}{11}$ min. past 3 o'clock.

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

18 18747

Q:

How many times are the hands of a clock at right angle in a day?

A) 44	B) 54
C) 64	D) 22

Answer & Explanation Answer: A) 44

Explanation:

In 12 hours, they are at right angles 22 times.
$\therefore$ In 24 hours, they are at right angles 44 times.

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

32 18723

Q:

The number of ways in which 8 distinct toys can be distributed among 5 children?

A) 5P8	B) 5^8
C) 8P5	D) 8^5

Answer & Explanation Answer: B) 5^8

Explanation:

As the toys are distinct and not identical,

For each of the 8 toys, we have three choices as to which child will receive the toy. Therefore, there are $5^{8}$ ways to distribute the toys.

Hence, it is $5^{8}$ and not $8^{5}$ .

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Filed Under: Permutations and Combinations
Exam Prep: AIEEE , Bank Exams , CAT , GATE , GRE , TOEFL
Job Role: Analyst , Bank Clerk , Bank PO , IT Trainer

16 18714

Q:

How many different words can be made using the letters of the word ' HALLUCINATION ' if all constants are together?

A) 129780	B) 1587600
C) 35600	D) None of these

Answer & Explanation Answer: B) 1587600

Explanation:

H L C N T A U I O

L N A I

There are total 131 letters out of which 7 are consonants and 6 are vowels. Also ther are 2L's , 2N's, 2A's and 2I's.

If all the consonants are together then the numberof arrangements = $\frac{7!}{2!}$ x 1/2! .

But the 7 consonants can be arranged themselves in $\frac{7!}{2!}$ x 1/2! ways.

Hence the required number of ways = ${(\frac{7!}{2! 2!})}^{2}$ = 1587600

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Filed Under: Permutations and Combinations
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8 18693

Q:

A motor boat takes 12 hours to go downstream and it takes 24 hours to return the same distance. what is the time taken by boat in still water?

A) 15 h	B) 16 h
C) 8 h	D) 20 h

Answer & Explanation Answer: B) 16 h

Explanation:

If t1 and t2 are the upstream and down stream times. Then time taken in still water is given by

$\frac{2 \times t 1 \times t 2}{t 1 + t 2} = \frac{2 \times 12 \times 24}{36} = 16 h$

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Filed Under: Boats and Streams

61 18690

Q:

Three partners shared the profit in a business in the ratio 4:6:8. They had partnered for 12 months, 8 months and 6 months respectively. What was the ratio of their investments?

A) 4:6:8	B) 4:7:8
C) 4:8:16	D) 4:9:16

Answer & Explanation Answer: D) 4:9:16

Explanation:

Let their investments be Rs. x for 12 months, Rs. y for 8 months and Rs. z for 6 months respectively.

Then, 12x : 8y : 6z = 4 : 6 : 8

Now, 12x/8y = 4/6 <=> 9x=4y <=> y=9x/4

And, 12x/6z = 4/8 <=> 4x=z <=> z=4x

Therefore, x : y: z = x : 9x/4: 4x = 4 : 9 : 16

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Filed Under: Partnership

18 18666

Quantitative Aptitude - Arithmetic Ability Questions

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