6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

A towel, when bleached, was found to have lost 20% of its length and 10% of its breadth. The percentage of decrease in area is:

A) 18%	B) 28%
C) 38%	D) 48%

Answer & Explanation Answer: B) 28%

Explanation:

Let original length = x and original breadth = y.

Decrease in area = xy - $(\frac{80}{100} x \times \frac{90}{100} y)$ = (7/25)xy

Decrease % = (7/25)xy * (1/xy) * 100 = 28%

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Filed Under: Area
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3 18857

Q:

The second statement is the ____ of the first.

$1 . P \Rightarrow Q 2 . ~ Q \Rightarrow ~ P$

A) Converse	B) Inverse
C) Contrapositive	D) Contradiction

Answer & Explanation Answer: C) Contrapositive

Explanation:

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Filed Under: Probability
Exam Prep: Bank Exams

3 18857

Q:

At what time, in minutes, between 3 o'clock and 4 o'clock, both the needles will coincide each other?

A. $5 \frac{1}{11}$

B. $15 \frac{4}{15}$

C. $16 \frac{4}{11}$

D. $4 \frac{4}{15}$

A) Option A	B) Option B
C) Option C	D) Option D

Answer & Explanation Answer: C) Option C

Explanation:

At 3 o'clock, the minute hand is 15 min. spaces apart from the hour hand.

To be coincident, it must gain 15 min. spaces.

55 min. are gained in 60 min.

Then 15 min spaces are gained in = $\frac{60}{55} \times 15$ min.

Therefore, The hands are coincident at $16 \frac{4}{11}$ min. past 3 o'clock.

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Filed Under: Clocks
Exam Prep: Bank Exams
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18 18841

Q:

What is the measure of an exterior angle of a regular polygon of 5 sides?

A) 72	B) 60
C) 45	D) 40

Answer & Explanation Answer: A) 72

Explanation:

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Filed Under: Volume and Surface Area
Exam Prep: Bank Exams

0 18840

Q:

Amar can do a piece of work in 10 days. He works at it for 4 days and then Arun finishes it in 9 days. In how many days can Amar and Arun together finish the work ?

A) 4 days	B) 8 days
C) 3 days	D) 6 days

Answer & Explanation Answer: D) 6 days

Explanation:

4/10 + 9/x = 1 => x = 15

Then both can do in

1/10 + 1/15 = 1/6 => 6 days

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Filed Under: Time and Work
Exam Prep: GRE , GATE , CAT , Bank Exams , AIEEE
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19 18810

Q:

Three houses are available in a locality. Three persons apply for the houses. Each applies for one house without consulting others. The probability that all the three apply for the same house is :

A) 2/9	B) 1/9
C) 8/9	D) 7/9

Answer & Explanation Answer: B) 1/9

Explanation:

One person can select one house out of 3= $3 C_{1}$ ways =3.

Hence, three persons can select one house out of 3 in 3 x 3 x 3 =9.

Therefore, probability that all thre apply for the same house is 1/9

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Filed Under: Probability

50 18781

Q:

How many times are the hands of a clock at right angle in a day?

A) 44	B) 54
C) 64	D) 22

Answer & Explanation Answer: A) 44

Explanation:

In 12 hours, they are at right angles 22 times.
$\therefore$ In 24 hours, they are at right angles 44 times.

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Filed Under: Clocks
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32 18741

Q:

The number of ways in which 8 distinct toys can be distributed among 5 children?

A) 5P8	B) 5^8
C) 8P5	D) 8^5

Answer & Explanation Answer: B) 5^8

Explanation:

As the toys are distinct and not identical,

For each of the 8 toys, we have three choices as to which child will receive the toy. Therefore, there are $5^{8}$ ways to distribute the toys.

Hence, it is $5^{8}$ and not $8^{5}$ .

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Filed Under: Permutations and Combinations
Exam Prep: AIEEE , Bank Exams , CAT , GATE , GRE , TOEFL
Job Role: Analyst , Bank Clerk , Bank PO , IT Trainer

16 18731

Quantitative Aptitude - Arithmetic Ability Questions

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