6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

A can do a piece of work in 10 days, B in 15 days. They work together for 5 days, the rest of the work is finished by C in two more days. If they get Rs. 3000 as wages for the whole work, what are the daily wages of A, B and C respectively (in Rs):

A) 200, 250, 300	B) 300, 200, 250
C) 200, 300, 400	D) None of these

Answer & Explanation Answer: B) 300, 200, 250

Explanation:

A's 5 days work = 50%

B's 5 days work = 33.33%

C's 2 days work = 16.66% [100- (50+33.33)]

Ratio of contribution of work of A, B and C = $50 : 33 \frac{1}{3} : 16 \frac{2}{3}$ = 3 : 2 : 1

A's total share = Rs. 1500

B's total share = Rs. 1000

C's total share = Rs. 500

A's one day's earning = Rs.300

B's one day's earning = Rs.200

C's one day's earning = Rs.250

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Filed Under: Time and Work
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594 95192

Q:

At what time between 4 and 5 o'clock will the hands of a watch point in opposite directions?

A) 54 past 4	B) (53 + 7/11) past 4
C) (54 + 8/11) past 4	D) (54 + 6/11) past 4

Answer & Explanation Answer: D) (54 + 6/11) past 4

Explanation:

4 o'clock, the hands of the watch are 20 min. spaces apart.
To be in opposite directions, they must be 30 min. spaces apart.
Minute hand will have to gain 50 min. spaces.
55 min. spaces are gained in 60 min

50 min. spaces are gained in $\frac{60}{55} \times 50$ min. or $54 \frac{6}{11}$

Required time = $54 \frac{6}{11}$ min. past 4.

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Filed Under: Clocks
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325 94093

Q:

A batsman makes a score of 87 runs in the 17th inning and thus increases his average by 3. Find his average after 17th inning?

Answer

Let the average after 7th inning = x

Then average after 16th inning = x - 3

16(x-3)+87 = 17x

x = 87 - 48 = 39

Workspace

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Subject: Average Exam Prep: CAT , Bank Exams , AIEEE
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674 93617

Q:

What is the next number in this series ?

4, 6, 12, 18, 30, 42, 60, ?

A) 71	B) 72
C) 73	D) 69

Answer & Explanation Answer: B) 72

Explanation:

With close observation, you will note that each number in the list is in the middle of two prime numbers. Thus:

4 is in the middle of 3 and 5, 6 is in the middle of 5 and 7, 12 is in the middle of 11 and 13, 18 is in the middle of 17 and 19, 30 is in the middle of 29 and 31. 42 is in the middle of 41 and 43, 60 is in the middle of 59 and 61.

Therefore, the next number would be the one that is in the middle of the next two prime numbers, which is 72 (which is in the middle of 71 and 73).

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Filed Under: Odd Man Out
Exam Prep: AIEEE , Bank Exams , CAT
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10 91903

Q:

The L.C.M of 22, 54, 108, 135 and 198 is

A) 330	B) 1980
C) 5940	D) 11880

Answer & Explanation Answer: C) 5940

Explanation:

22 = 2 x 11

54 = $2 \times 3^{3}$

108 = $2^{2} \times 3^{3}$

135 = $3^{3} \times 5$

198 = $2 \times 3^{2} \times 11$

$∴ L . C . M = 2^{2} \times 3^{3} \times 5 \times 11 = 5940$

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226 91599

Q:

At what time between 2 and 3 o'clock will the hands of a clock be together?

A) (9 + 10/11) min past 2	B) (10 + 10/11) min past 2
C) (11 + 10/11) min past 2	D) (12 + 10/11) min past 2

Answer & Explanation Answer: B) (10 + 10/11) min past 2

Explanation:

At 2 o'clock, the hour hand is at 2 and the minute hand is at 12, i.e. they are 10 min spaces apart.

To be together, the minute hand must gain 10 minutes over the hour hand.

Now, 55 minutes are gained by it in 60 min.

$\therefore$ 10 minutes will be gained in $\frac{60}{55} \times 10$ min. = $10 \frac{10}{11}$ min.

The hands will coincide at $10 \frac{10}{11}$ min. past 2.

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Filed Under: Clocks
Exam Prep: Bank Exams
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204 90467

Q:

The average of 7 consecutive numbers is 20. The largest of these numbers is :

A) 21	B) 22
C) 23	D) 24

Answer & Explanation Answer: C) 23

Explanation:

Let the numbers be x, x + 1, x + 2, x + 3, x + 4, x + 5 and x + 6,

Then (x + (x + 1) + (x + 2) + (x + 3) + (x + 4) + (x + 5) + (x + 6)) / 7 = 20.

or 7x + 21 = 140 or 7x = 119 or x =17.

Latest number = x + 6 = 23.

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255 89199

Q:

Find the next number in te given series ?

5, 25, 61, 113, ...

A) 142	B) 181
C) 156	D) 179

Answer & Explanation Answer: B) 181

Explanation:

Here the series follow the rule that

$1^{2} + 2^{2} = 5$

$3^{2} + 4^{2} = 25$

$5^{2} + 6^{2} = 61$

$7^{2} + 8^{2} = 113$

SO NEXT IS, $9^{2} + 10^{2} = 181$

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Filed Under: Odd Man Out
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13 88968

Quantitative Aptitude - Arithmetic Ability Questions

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