6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

A text book of mathematics cost 2 Rs/- more than a text book of literature. If 5 literature books cost 38 Rs/- more than 3 mathematics books, what is the cost of each literature book?

A) 44	B) 22
C) 24	D) 11

Answer & Explanation Answer: B) 22

Explanation:

Let each literature text book cost be Rs. X

Then, cost of mathematics text book = Rs. (X + 2)

ATQ,

5X = 38 + 3(X + 2)

5X = 38 + 3X + 6

2X = 44

X = 22.

Therefore, cost of each literature text book = Rs. X = Rs. 22.

And that of masthematics = X + 2 = Rs. 24.

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Filed Under: Problems on Numbers
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3 3225

Q:

$\frac{1}{8}$ as a decimal?

A) 0.375	B) 0.247
C) 0.214	D) 0.125

Answer & Explanation Answer: D) 0.125

Explanation:

Here $\frac{1}{8}$ in decimal means 8th part in 1.

We know that $\frac{1}{10}$ = 0.1

Then, $\frac{1}{8} = ?$

=> $? = \frac{\frac{1}{8} x 0.1}{\frac{1}{10}} = \frac{0.1 x 10}{8} = \frac{0.5}{4} \frac{1}{8} = 0.125$

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Filed Under: Decimal Fractions
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4 3218

Q:

In how many ways the letters of the word 'CIRCUMSTANCES' can be arranged such that all vowels came at odd places and N always comes at end?

A) 1,51,200 ways.	B) 5,04,020 ways
C) 72,000 ways	D) None of the above

Answer & Explanation Answer: A) 1,51,200 ways.

Explanation:

In circumcstances word there are 3C's, 2S's, I, U,R, T, A, N, E

Total = 13 letters

But last letter must be N

Hence, available places = 12

In that odd places = 1, 3, 5, 7, 9, 11

Owvels = 4

This can be done in 6P4 ways

Remaining 7 letters can be arranged in 7!/3! x 2! ways

Hence, total number of ways = 6P4 x 7!/3! x 2! = 360 x 5040/12 = 1,51,200 ways.

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Filed Under: Permutations and Combinations
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3 3214

Q:

5 + 2 x 10 =

A) 70	B) 20
C) 25	D) 52

Answer & Explanation Answer: C) 25

Explanation:

According to BODMAS rule,

After multiplication only, addition is done.

Hence,

5 + 2 x 10 = 5 + 20 = 25.

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Filed Under: Simplification
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4 3213

Q:

A water tank is filled in 5 hours by three pipes X, Y and Z the pipe Z is thrice as fast as Y and Y is twice as fast as X. How much time will pipe X alone take to fill the water tank?

A) 60 hrs	B) 45 hrs
C) 40 hrs	D) 35 hrs

Answer & Explanation Answer: B) 45 hrs

Explanation:

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Filed Under: Pipes and Cistern
Exam Prep: AIEEE , Bank Exams , CAT

10 3211

Q:

If 60% discount is offered on the marked price and selling price becomes equal to cost price then what was the % mark up?

A) 100	B) 250
C) 150	D) 40

Answer & Explanation Answer: C) 150

Explanation:

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Filed Under: Profit and Loss
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12 3211

Q:

The ages of Sunitha and Pranitha are 40 years and 60 years, respectively. How many years before the ratio of their ages was 3 : 5?

A) 10 years	B) 15 years
C) 18 years	D) 24 years

Answer & Explanation Answer: A) 10 years

Explanation:

Given the ages of Sunitha and Pranitha are 40 years and 60 years.

Let before 'm' years, their ages be in the ratio of 3 : 5

ATQ,

$\frac{40 - m}{60 - m} = \frac{3}{5}$

=> 200 - 5m = 180 - 3m

=>2m = 20

=> m = 10 years.

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Filed Under: Problems on Ages
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3 3209

Q:

A drum contains 80 litres of ethanol. 20 litres of this liquid is removed and replaced with water. 20 litres of this mixture is again removed and replaced with water. How much water (in litres) is present in this drum now?

A) 45	B) 40
C) 35	D) 44

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