6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

The rational for the recurring decimal 0.125125......is

A) 125/99	B) 125/999
C) 125/9999	D) 125/9

Answer & Explanation Answer: B) 125/999

Explanation:

0.125125...... = $0 . \bar{125}$ = 125/999

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Filed Under: Decimal Fractions

12 7904

Q:

A bag contains 3 red balls, 5 yellow balls and 7 pink balls. If one ball is drawn at random from the bag, what is the probability that it is either pink or red?

A) 2/3	B) 1/8
C) 3/8	D) 3/4

Answer & Explanation Answer: A) 2/3

Explanation:

Given number of balls = 3 + 5 + 7 = 15

One ball is drawn randomly = 15C1

probability that it is either pink or red = $\frac{7 C_{1} + 3 C_{1}}{15 C_{1}} = \frac{7 + 3}{15} = \frac{10}{15} = \frac{2}{3}$

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Filed Under: Probability
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22 7895

Q:

Rajesh rows in still water with a speed of 4.5 kmph to go to a certain place and comes back. Find his average speed for the whole journey, if the river is flowing with a speed of 1.5 kmph?

A) 2 kmph	B) 4 kmph
C) 6 kmph	D) 8 kmph

Answer & Explanation Answer: B) 4 kmph

Explanation:

Let the distance in one direction = k kms

Speed in still water = 4.5 kmph

Speed of river = 1.5

Hence, speed in upstream = 4.5 - 1.5 = 3 kmph

Speed in downstream = 4.5 + 1.5 = 6 kmph

Time taken by Rajesh to row upwards = k/3 hrs

Time taken by Rajesh to row downwards = k/6 hrs

Now, required Average speed = $\frac{Total distance}{Total speed} = \frac{2 k}{\frac{k}{3} + \frac{k}{6}} = \frac{2 k x 18}{6 k + 3 k} = 4 kmph$

Therefore, the average speed of the whole journey = 4kmph.

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Filed Under: Boats and Streams
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19 7893

Q:

Arrange the fractions in ascending order

A) 5/8 < 7/12 < 3/4 < 13/16	B) 5/8 < 7/12 < 13/16 < 3/4
C) 5/8 < 3/4 < 13/16 < 7/12	D) 7/12 < 5/8 < 3/4 < 13/16

Answer & Explanation Answer: D) 7/12 < 5/8 < 3/4 < 13/16

Explanation:

5/8 = .625, 7/12 = .5833, 3/4 = .75, 13/16 = .8125

So order will be
7/12 < 5/8 < 3/4 < 13/16

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Filed Under: Decimal Fractions

3 7890

Q:

16 women can do a piece of work in 10 days while 15 men can do the same work in 12 days. All men and all women work alternately starting with all men, then find the time taken by them to complete the whole work?

A) 10 5/2 days	B) 11 days
C) 11 2/5 days	D) 12 1/2 days

Answer & Explanation Answer: A) 10 5/2 days

Explanation:

Let efficiency of every man and every woman be 'm' unit/day and 'w' unit/day respectively

15×12×m = 10×16×w

⇒ m/w = 8/9

Total work = 15 × 12 × 9 = 1620 units

In 2 days, total work done = 15 x 9 + 16 x 8 = 263 units

So, in 10 days work done will be = 263 × 5 = 1315 units

Remaining work will be done in = (1620-1315)/(15×8) = 5/2 days

Total days = 10 5/2 days.

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Filed Under: Time and Work
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27 7889

Q:

A bag contains 2 red Roses, 4 yellow Roses and 6 pink Roses. Two roses are drawn at random. What is the probability that they are not of same color?

A) 1/6	B) 2/3
C) 14/33	D) 5/6

Answer & Explanation Answer: B) 2/3

Explanation:

Possible outcomes = (RY, YP, PR)

2C1 4C1 + 4C1 6C1 + 6C1 2C1

Required probability = (2C1 4C1 + 4C1 6C1 + 6C1 2C1)/(12C2)

= 8 + 24 + 12/66

= 44/66

= 2/3.

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Filed Under: Probability
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54 7887

Q:

Two concentric circles form a ring. The inner and outer circumferences of ring are $\frac{518}{7}$ m and $\frac{352}{7}$ m respectively. Find the width of the ring.

A) 4	B) 5
C) 6	D) 7

Answer & Explanation Answer: A) 4

Explanation:

Let the inner and outer radii be r and R metres.

Then $2 πR = \frac{352}{7} = > R = \frac{352}{7} * \frac{7}{22} * \frac{1}{2} = 8 m$

$2 πR = \frac{528}{7} = > R = \frac{528}{7} * \frac{7}{22} * \frac{1}{2} = 12 m$

=> Width of the ring = (R - r) = (12 - 8) m = 4 m.

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Filed Under: Area
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0 7886

Q:

3 is what percent of 5?

A) 45%	B) 60%
C) 72%	D) 80%

Answer & Explanation Answer: B) 60%

Explanation:

Here it is asked that 3 is what percent of 5

Let 3 is K percent of 5.

=> K x 5/100 = 3

=> K = 300/5 = 60

Hence, 3 is 60% of 5.

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Filed Under: Percentage
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8 7886

Quantitative Aptitude - Arithmetic Ability Questions

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