6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

If two complimentary angles are in the ratio of 4 : 5, find the greater angle.

A) 40 deg	B) 50 deg
C) 60 deg	D) 30 deg

Answer & Explanation Answer: B) 50 deg

Explanation:

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Filed Under: Ratios and Proportions
Exam Prep: Bank Exams

1 15715

Q:

The product of three consecutive even numbers when divided by 8 is 720. The product of their square roots is :

A) 12 sqrt(10)	B) 24 sqrt(10)
C) 120	D) none of these

Answer & Explanation Answer: B) 24 sqrt(10)

Explanation:

Let the numbers be x, x + 2 and X + 4.

Then, x(x + 2)(x +4) / 8 = 720 => x(x + 2)(x +4) = 5760.

√x * √(x + 2) * √(x +4) = √x(x +2)(x + 4 ) = √5760 = 24√10.

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Filed Under: Problems on Numbers

19 15699

Q:

Two pipes A and B can separately fill a cistern in 10 and 15 minutes respectively. A person opens both the pipes together when the cistern should have been was full he finds the waste pipe open. He then closes the waste pipe and in another 3 minutes the cistern was full. In what time can the waste pipe empty the cistern when fill ?

A) 8.21 min	B) 8 min
C) 8.57 min	D) 8.49 min

Answer & Explanation Answer: C) 8.57 min

Explanation:

1/10 + 1/15 = 1/6 x 3 = 1/2

1 - 1/2 = 1/2

1/10 + 1/15 - 1/x = 1/2

x = 8.57 min

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Filed Under: Pipes and Cistern
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Bank Clerk , Bank PO

36 15685

Q:

A man invested Rs. 4455 in Rs. 10 shares quoted at Rs. 8.25. If the rate of dividend be 12%, his annual income is:

A) 107.04	B) 648
C) 500	D) 648.60

Answer & Explanation Answer: B) 648

Explanation:

Number of shares = $\frac{4455}{8.25}$ = 540.

Face value = Rs. (540 x 10) = Rs. 5400.

Annual income = $R s . (\frac{12}{100} * 5400)$ = Rs. 648.

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Filed Under: Stocks and Shares

6 15681

Q:

Two trains of equal length , running in opposite directions , pass a pole in 18 and 12 seconds. The trains will cross each other in

A) 14.4 sec	B) 15.5 sec
C) 18.8 sec	D) 20.2 sec

Answer & Explanation Answer: A) 14.4 sec

Explanation:

Let the length of the train be L metres

Speed of first train = $\frac{3600}{18} x L$ m/hour

Speed of secxond train = $\frac{3600}{12} x L$ m/hour

When running in opposite directions, relative speed = 200 L + 300 L m/hour

Distance to be covered = L + L = 2L metre

Time taken = $\frac{2 L}{500 L} x 3600$ sec

=14.4 sec

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Filed Under: Problems on Trains
Exam Prep: AIEEE , Bank Exams , CAT
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25 15626

Q:

A box contains 5 detective and 15 non-detective bulbs. Two bulbs are chosen at random. Find the probability that both the bulbs are non-defective.

A) 5/19	B) 3/20
C) 21/38	D) None of these

Answer & Explanation Answer: C) 21/38

Explanation:

n(S) = ${}^{20}C_{2}$ = 190

n(E) = ${}^{15}C_{2}$ = 105

Therefore, P(E) = 105/190 = 21/38

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Filed Under: Probability

12 15599

Q:

The perimeter of a square is equal to twice the perimeter of a rectangle of length 8cm and breadth 7cm. What is the circumference of a semicircle whose diameter is equal to the side of the square ?

A) 55.12 cm	B) 22.54 cm
C) 42.51 cm	D) 38.57 cm

Answer & Explanation Answer: D) 38.57 cm

Explanation:

We know that perimeter of rectangle = 2(l+b) = 2(8+7)= 30cm
Given perimeter of square is twice the perimeter of rectangle = 2(30) = 60cm
Therefore, side of the square is = 1/4 x 60 = 15cm
Circumference of the required semicircle = $πr + 2 r$ = $\frac{22}{7} \times \frac{15}{2} + 2 \times \frac{15}{2}$ = 23.57 + 15 = 38.57cm.

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Filed Under: Area
Exam Prep: GRE , GATE , CAT , Bank Exams , AIEEE
Job Role: Bank PO , Bank Clerk

6 15597

Q:

5/9 of the part of the population in a village are females. If 30 % of the females are married. The percentage of unmarried males in the total males is ?

A) 62.5 %	B) 125 %
C) 84.32 %	D) 46.87 %

Answer & Explanation Answer: A) 62.5 %

Explanation:

Let total population = p
number of females = 5p/9
number of males =(p-5p/9) = 4p/9
married females = 30% of 5p/9 = 30x5p/100x9 = p/6
married males = p/6
unmarried males =(4p/9-p/6) = 5p/18
Percentage of unmarried males in the total males = {(5p/18)/4p/9}x100 = (5p/18)x(9/4p) = 125/2 % = 62.5%

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Filed Under: Percentage
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Bank Clerk , Bank PO

21 15586

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