6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

There are 600 Kabaddi players 4% wear knee band on one leg. Of the remaining, 25% wear knee bands on both legs. How many players don't wear a knee band ?

A) 426	B) 428
C) 415	D) 432

Answer & Explanation Answer: D) 432

Explanation:

There are 600 Kabaddi players
4% wear knee band on one leg
Remaining players = 600 x 0.96 = 576
Of the remaining, 25% wear knee bands on both leg
and Of the remaining, 75% do not wear knee bands .
So players not wearing knee bands = 0.75 x 576 = 576 x 3/4 = 144 x 3 = 432.

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Filed Under: Percentage
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Q:

In a throw of a coin, find the probability of getting a head.

A) 1	B) 1/2
C) 1/4	D) 0.1

Answer & Explanation Answer: B) 1/2

Explanation:

Here, s={H,T} and E={H}
P(E) = n(E)/n(S) = 1/2

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Filed Under: Probability

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Q:

Find the cost of Rs. 4500, 8.5% stock at 4 premium?

A) 1400	B) 5000
C) 4000	D) 4680

Answer & Explanation Answer: D) 4680

Explanation:

Cost of Rs. 100 stock = Rs. (100+4) = Rs.104

Cost of Rs. 4500 stock = $R s . \frac{104}{100} \times 4500$ = Rs. 4680

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Filed Under: Stocks and Shares

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Q:

A shopkeeper sells two articles at Rs.1000 each, making a profit of 20% on the first article and a loss of 20% on the second article. Find the net profit or loss that he makes?

A) 2%	B) 4%
C) 3%	D) 2.5%

Answer & Explanation Answer: B) 4%

Explanation:

SP of first article = 1000

Profit = 20%

CP = $\frac{100}{100 + P} \times S P$ = 5000/6 = 2500/3

SP of second article = 1000

Loss = 20%

CP = $\frac{100}{100 - L} \times S P$ = 5000/4 = 1250

Total SP = 2000

Total CP = $\frac{2500}{3}$ + 1250 = 6250/3

CP is more than SP, he makes a loss.

Loss = CP-SP = (6250/3)- 2000 = 250/3

Loss Percent = $\frac{\frac{250}{3}}{\frac{6250}{3}} \times 100$ = 4%

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Filed Under: Profit and Loss
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Q:

Adam and Smith are working on a project. Adam takes 6 hrs to type 36 pages on a computer, while Smith takes 5 hrs to type 40 pages. How much time will they take, working together on two different computers to type a project of 120 pages?

A) 8 hrs 45 min	B) 8 hrs 42 min
C) 8 hrs	D) 8 hrs 34 min

Answer & Explanation Answer: D) 8 hrs 34 min

Explanation:

Number of pages typed by Adam in 1 hour = 36/6 = 6
Number of pages typed by Smith in 1 hour = 40/5 = 8
Number of pages typed by both in 1 hour = (6 + 8) = 14
Time taken by both to type 110 pages = (120 * 1/14) = $8 \frac{4}{7}$ = 8 hrs 34 min.

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Filed Under: Time and Work
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Q:

If there are 150 questions in a 3 hr examination. Among these questions 50 are type A problems, which requires twice as much as time be spent on the rest of the type B problems. How many minutes should be spent on type A problems ?

A) 75 min	B) 82 min
C) 90 min	D) 101 min

Answer & Explanation Answer: C) 90 min

Explanation:

Let X = Time taken for each of Type B Problems(100 Problems)
And 2X = Time taken for each of Type A problems(50 problems)

Total time period = 3hrs = 3 x 60min = 180 minutes

100X + 50(2X) = 180
100X + 100X = 180
200X = 180 min

X = 180/200
X = 0.90 min

By convertiing into seconds,

X = 0.90 x 60 seconds
X = 54 sec

So, time taken for Part A problems is = 54 x 2 x 50 = 5400 seconds
= 5400/60sec = 90 minutes.

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Filed Under: Percentage
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Q:

A tailor has 37.5 metres of cloth and he has to make 8 pieces out of a metre of cloth. How many pieces can he make out of half of the cloth he has ?

A) 300	B) 150
C) 175	D) 200

Answer & Explanation Answer: B) 150

Explanation:

Half of the cloth = 37.5/2
From 1 meter he will make 8 pieces
=> in 37.5/2 ---- ?

37.5/2 x 8

= 150.

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Filed Under: Simplification
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Q:

Concept of Efficiency

A can do a job in 12 days and B can do the same job in 6 days, in how many days working together they can complete the job?

Answer

A's 1 days work = 1/12

B's 1 days work =1/6

Therefore, (A+B)'s 1 day's work= 1/12 + 1/6 = 1/4

Therefore, Time taken by both to finish the whole work = $\frac{1}{\frac{1}{4}}$ = 4 days

Alternatively :

Efficiency of A =100/12 =8.33%

Efficiency of B =100/6=16.66%

Combined efficiency of A and B both = 8.33+16.66=25%

Therefore, Time taken by both to finish the work (working together) =100/25= 4days

Quantitative Aptitude - Arithmetic Ability Questions

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