6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

The average of a non-zero number and its square is 11 times the number. The number is ?

A) 22	B) 21
C) 11	D) 17

Answer & Explanation Answer: A) 22

Explanation:

Let the number be 'x'.

$\frac{x + x^{2}}{2}$ = 11x
$x^{2}$ = 22x
=> x = 22.

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Filed Under: Average
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8 9567

Q:

If $3 \sqrt{5} + \sqrt{125} = 17.88$ , then what will be the value of $\sqrt{80} + 6 \sqrt{5} = ?$

A) 13.41	B) 20.46
C) 21.66	D) 22.35

Answer & Explanation Answer: D) 22.35

Explanation:

$3 \sqrt{5} + \sqrt{125} = 17.88 \Rightarrow 3 \sqrt{5} + 5 \sqrt{5} = 17.88$

$\Rightarrow \sqrt{5} = 2.235$

$∴ \sqrt{80} + 6 \sqrt{5} = 4 \sqrt{5} + 6 \sqrt{5} = 10 \sqrt{5} = 10 \times 2.235 = 22.35$

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Filed Under: Square Roots and Cube Roots

17 9523

Q:

There are eight boxes of chocolates, each box containing distinct number of chocolates from 1 to 8. In how many ways four of these boxes can be given to four persons (one boxes to each) such that the first person gets more chocolates than each of the three, the second person gets more chocolates than the third as well as the fourth persons and the third person gets more chocolates than fourth person?

A) 70	B) 40
C) 72	D) 80

Answer & Explanation Answer: A) 70

Explanation:

All the boxes contain distinct number of chocolates.
For each combination of 4 out of 8 boxes, the box with the greatest number has to be given to the first person, the box with the second highest to the second person and so on.

The number of ways of giving 4 boxes to the 4 person is: 8 $C_{4}$ = 70

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Filed Under: Permutations and Combinations

5 9520

Q:

Two pipes A and B can fill a tank in 15 min and 20 min respectively. Both the pipes are opened together but after 4 min, pipe A is turned off. What is the total time required to fill the tank ?

A) 15 min 20 sec.	B) 16 min 40 sec.
C) 13 min 10 sec.	D) 14 min 40 sec.

Answer & Explanation Answer: D) 14 min 40 sec.

Explanation:

Part filled in 4 minutes = 4(1/15 + 1/20) = 7/15

Remaining part = 1 - 7/15 = 8/15

Part filled by B in 1 minute = 1/20

1/20 : 8/15 :: 1 : k

k = (8/15 )x 1 x 20 = 10( 2/3) min = 10 min 40 sec.

The tank will be full in (4 min. + 10 min. 40 sec) = 14 min 40 sec.

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Filed Under: Pipes and Cistern
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7 9520

Q:

Twenty men can do a work in eighteen days. Eighteen women can complete the same work in fifteen days. What is the ratio between the capacity of a woman and a man ?

A) 4:5	B) 3:4
C) 4:3	D) 2:3

Answer & Explanation Answer: C) 4:3

Explanation:

(20 x 18) men can complete the work in in one day.

one man's one day work = 1/360

(18 x 15) women can complete the work in 1 day

1 woman's one day work = 1/270

So, required ratio = $\frac{1}{270} : \frac{1}{360}$ = 4:3

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Filed Under: Time and Work
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13 9515

Q:

How many minutes does a watch lose per day, if its hands coincide every 64 minutes ?

A) 36 7/9 min	B) 32 8/11 min
C) 34 3/11 min	D) 65 5/11 min

Answer & Explanation Answer: B) 32 8/11 min

Explanation:

55 min. spaces are covered in 60 min.

60 min. spaces are covered in $open parentheses 60 over 55 cross times 60 close parentheses$ min. = $65 5 over 11$ min.

Loss in 64 min. = $open parentheses 65 5 over 11 minus 64 close parentheses equals 16 over 11$ min.

Loss in 24 hrs = $open parentheses 16 over 11 cross times 1 over 64 cross times 24 cross times 60 close parentheses$ min. = $32 8 over 11$ min.

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Filed Under: Clocks
Exam Prep: AIEEE , Bank Exams , CAT , GATE
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36 9515

Q:

A jogger running at 9 km/hr along side a railway track is 260 m ahead of the engine of a 140 m long train running at 45 km/hr in the same direction. In how much time will the train pass the jogger ?

A) 25 sec	B) 40 sec
C) 38 sec	D) 32 sec

Answer & Explanation Answer: B) 40 sec

Explanation:

Speed of train relative to jogger = 45 - 9 = 36 km/hr.
= 36 x 5/18 = 10 m/sec.

Distance to be covered = 260 + 140 = 400 m.

Time taken = 400/10 = 40 sec.

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Filed Under: Problems on Trains
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5 9504

Q:

The number of permutations of the letters of the word 'MESMERISE' is ?

A) 9!/(2!)^{2}x3!	B) 9! x 2! x 3!
C) 0	D) None

Answer & Explanation Answer: A) 9!/(2!)^{2}x3!

Explanation:

n items of which p are alike of one kind, q alike of the other, r alike of another kind and the remaining are distinct can be arranged in a row in n!/p!q!r! ways.
The letter pattern 'MESMERISE' consists of 10 letters of which there are 2M's, 3E's, 2S's and 1I and 1R.
Number of arrangements = $\frac{9!}{(2!)^{2} \times 3!}$

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Filed Under: Permutations and Combinations
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3 9504

Quantitative Aptitude - Arithmetic Ability Questions

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