6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

In how many different ways can five persons stand in a line for a group photograph?

A) 120	B) 240
C) 360	D) 720

Answer & Explanation Answer: A) 120

Explanation:

This is the number of permutations of five things taken all at a time.

Therefore, answer = $5 P_{5}$ = 120 ways

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Filed Under: Permutations and Combinations

2 6846

Q:

What is the probability that a leap year selected at random, will contain 53 sundays?

A) 1/7	B) 1/3
C) 2/7	D) 4/7

Answer & Explanation Answer: C) 2/7

Explanation:

In a leap year,there are 366 days=52 weeks and 2 days

Remaining favourable 2 days can be sunday and monday or saturday and sunday

Exhaustive number of cases =7

Favourable number of cases =2

So,required probability=2/7

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Filed Under: Probability

0 6840

Q:

An alloy of copper and bronze weight 50g. It contains 80% Copper. How much copper should be added to the alloy so that percentage of copper is increased to 90%?

A) 45 gm	B) 50 gm
C) 55 gm	D) 60 gm

Answer & Explanation Answer: B) 50 gm

Explanation:

Initial quantity of copper = $\frac{80}{100} x 50$ = 40 g

And that of Bronze = 50 - 40 = 10 g

Let 'p' gm of copper is added to the mixture

=> $(50 + p) x \frac{90}{100}$ = 40 + p

=> 45 + 0.9p = 40 + p

=> p = 50 g

Hence, 50 gms of copper is added to the mixture, so that the copper is increased to 90%.

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Filed Under: Alligation or Mixture
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20 6835

Q:

One card is drawn from a pack of 52 cards , each of the 52 cards being equally likely to be drawn. Find the probability that the card drawn is neither a spade nor a king.

A) 0	B) 9/13
C) 1/2	D) 4/13

Answer & Explanation Answer: B) 9/13

Explanation:

There are 13 spades ( including one king). Besides there are 3 more kings in remaining 3 suits

Thus n(E) = 13 + 3 = 16

Hence $n (\bar{E}) = 52 - 16 = 36$

Therefore, $P (E) = \frac{36}{52} = \frac{9}{13}$

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Filed Under: Probability

6 6828

Q:

There are fourteen juniors and twenty-three seniors in the Service Club. The club is to send four representatives to the State Conference. If the members of the club decide to send two juniors and two seniors, how many different groupings are possible ?

A) 23024	B) 24023
C) 23023	D) 25690

Answer & Explanation Answer: C) 23023

Explanation:

Choose 2 juniors and 2 seniors.

$14 C_{2} * 23 C_{2} = 23023$

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Filed Under: Permutations and Combinations

1 6822

Q:

A take twice as much time as B or thrice as much time to finish a piece of work. Working together, they can finish the work in 2 days. B can do the work alone in ?

A) 8 hrs	B) 12 hrs
C) 6 hrs	D) 4 hrs

Answer & Explanation Answer: C) 6 hrs

Explanation:

Suppose A, B and C take x, x/2 and x/3 respectively to finish the work.

Then, (1/x + 2/x + 3/x) = 1/2

=> 6/x = 1/2 => x = 12

So, B takes 6 hours to finish the work.

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Filed Under: Time and Work
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4 6817

Q:

The compound interest earned by Sunil on a certain amount at the end of two years at the rate of 8% p.a. was Rs.2828.80. Find the total amount that Sunil got back at the end of two years in the form of principal plus interest earned ?

A) Rs. 11828.80	B) Rs. 19828.80
C) Rs. 9828.80	D) Rs. 19328.80

Answer & Explanation Answer: B) Rs. 19828.80

Explanation:

Let the sum be Rs. P
P{ ${(1 + \frac{8}{100})}^{2}$ - 1 } = 2828.80

It is in the form of $a^{2} - b^{2} = (a + b) (a - b)$

P(8/100)(2 + 8/100) = 2828.80

P = 2828.80 / (0.08)(2.08)

= 1360/0.08 = 17000

Principal + Interest = Rs. 19828.80

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Filed Under: Compound Interest
Exam Prep: GRE , GATE , CAT , Bank Exams , AIEEE
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12 6817

Q:

A man spend 20% of his monthly salary on his children's education and 50% of his salary on food and transport. After Paying the rent of Rs.1000, he is left with Rs.2000. What is his monthly salary?

A) 7000	B) 10000
C) 14000	D) 20000

Answer & Explanation Answer: B) 10000

Explanation:

Let his monthly salary be 'P'

20% on children's education = $\frac{20 P}{100} = \frac{P}{5}$

50% on food and transport = $\frac{50 P}{100} = \frac{P}{2}$

1000 on rent

=> $P - \frac{P}{5} - \frac{P}{2} - 1000 = 2000 = > 3 P = 30000 = > P = 10000$

Therefore, his monthly salary = Rs. 10,000

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Filed Under: Percentage
Exam Prep: AIEEE , Bank Exams , CAT , GATE
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4 6813

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