6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

A train-A passes a stationary train B and a pole in 24 sec and 9 sec respectively. If the speed of train A is 48 kmph, what is the length of train B?

A) 200 mts	B) 180 mts
C) 160 mts	D) 145 mts

Answer & Explanation Answer: A) 200 mts

Explanation:

Length of train A = 48 x 9 x 5/18 = 120 mts

Length of train B = 48 x 24 x 5/18 - 120

=> 320 - 120 = 200 mts.

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Filed Under: Time and Distance
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4 5958

Q:

Two equal sums were lent, one at the rate of 11% per annum for five years and the other at the rate of 8% per annum for six years, both under simple interest. If the difference in interest accrued in the two cases is Rs 1008. Find the sum?

A) Rs. 14,400	B) Rs. 15,600
C) Rs. 14,850	D) Rs. 15,220

Answer & Explanation Answer: A) Rs. 14,400

Explanation:

Let the required Sum = Rs.S

From the given data,

1008 = [(S x 11 x 5)/100] - [(S x 8 x 6)/100]

=> S = Rs. 14,400.

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Filed Under: Simple Interest
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18 5948

Q:

The sum of the digits of a two-digits number is 10,while when the digits are reversed, the number decreases by 54. Find the changed number ?

A) 28	B) 19
C) 37	D) 46

Answer & Explanation Answer: A) 28

Explanation:

Let the original number is 82 i.e 8 + 2 = 10 and when the digits are reversed i.e 28
The difference is 82 - 28 = 54 i.e, the number is decreased by 54.

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Filed Under: Numbers
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7 5946

Q:

The Manager of a company accepts only one employees leave request for a particular day. If five employees namely Roshan, Mahesh, Sripad, Laxmipriya and Shreyan applied for the leave on the occasion of Diwali. What is the probability that Laxmi priya’s leave request will be approved ?

A) 1	B) 1/5
C) 5	D) 4/5

Answer & Explanation Answer: B) 1/5

Explanation:

Number of applicants = 5
On a day, only 1 leave is approved.
Now favourable events = 1 of 5 applicants is approved
Probability that Laxmi priya's leave is granted = 1/5.

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Filed Under: Probability
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6 5941

Q:

A jar can 20 litre milk. From the jar, 4 litres milk was taken out and replaced with an equal quantity of water. If 4 litres of the newly formed mixture is taken out of the can, then what is the final quantity of milk left in the can?

A) 14.5 lit	B) 12.8 lit
C) 11.6 lit	D) 10.46 lit

Answer & Explanation Answer: B) 12.8 lit

Explanation:

This can be solved as

$20 {(1 - \frac{4}{20})}^{2} = 20 {(1 - \frac{1}{5})}^{2} = 20 {(\frac{4}{5})}^{2} = 20 (\frac{16}{25}) = \frac{64}{5} = 12.8$

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Filed Under: Percentage
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11 5940

Q:

A certain sum is to be divided between A and B so that after 5 years the amount received by A is equal to the amount received by B after 7 years. The rate of interest is 10%, interest compounded annually. Find the ratio of amounts invested by them.

please solve this

Answer

Let the sum(principal) received by A and B are x and y.

(1+r) = $1+\frac{1}{10}$ = $\frac{11}{10}$

Then, $\frac{x}{y}=\left ( \frac{11}{10} \right )^{7-5}$ = $\left ( \frac{11}{10} \right )^2 =\frac{121}{100}$

Hence, the ratio in which the sum is divided =121:100

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Subject: Compound Interest Exam Prep: Bank Exams

26 5939

Q:

75% of 450 + ? % of 560 = 600

A) 52.385	B) 46.875
C) 42.155	D) 40.555

Answer & Explanation Answer: B) 46.875

Explanation:

75% of 450 + ? % of 560 = 600

$\frac{75 x 450}{100} + \frac{? x 560}{100} = 600 \frac{75 x 9}{2} + \frac{28 p}{5} = 600 \frac{75 x 9 x 5 + 56 p}{10} = 600 3375 + 56 p = 6000 56 p = 2625 p = 46.875$

Hence, in the given question ? = 46.875

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Filed Under: Percentage
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3 5937

Q:

74.99% of 1299 + 8.98% of 1899 = ?

A) 1378	B) 1301
C) 1212	D) 1197

Answer & Explanation Answer: C) 1212

Explanation:

74.99% of 1299 + 8.98% of 1899 = ?

$? = \frac{75 x 1400}{100} + \frac{9 x 1800}{100} ? = 1050 + 162 ? = 1212 .$

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Filed Under: Percentage
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9 5933

Quantitative Aptitude - Arithmetic Ability Questions

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