6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

Solve the following.

-4 - (-7 - 12 / 4) = ?

A) -2	B) 6
C) 0.75	D) -14

Answer & Explanation Answer: B) 6

Explanation:

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Q:

Solve the following

24 / (20 - 12 / 3 x 8) = ?

A) -2	B) -3
C) 6	D) 3

Answer & Explanation Answer: A) -2

Explanation:

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Q:

Which value is closest to [5.168 x 4453 x 3.194 / 67.999 x 4224.017]

A) 0.2	B) 0.002
C) 2	D) 0.02

Answer & Explanation Answer: A) 0.2

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Q:

The length of a rectangle is halved, while its breadth is tripled. What is the percentage change in area?

A) 20%	B) 30%
C) 40%	D) 50%

Answer & Explanation Answer: D) 50%

Explanation:

Let original length = x and original breadth = y.

Original area = xy.

New length = x/2 and New breadth=3y

New area = $\frac{3}{2} x y$

Therefore, Increase in area = New area-original area = $\frac{3}{2} x y - x y = \frac{1}{2} x y$

Therefore, Increase % = $\frac{i n c r e a s e i n a r e a}{o r i g i n a l a r e a} * 100 = (\frac{\frac{1}{2} x y}{x y}) * 100 = 50$ %

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Filed Under: Area
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47 46691

Q:

$\frac{4}{5} + \frac{4}{7} = ?$

A) 8/12	B) 48/35
C) 8/35	D) 16/35

Answer & Explanation Answer: B) 48/35

Explanation:

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Q:

A can contains a mixture of two liquids A and B in the ratio 7 : 5. When 9 litres of mixture are drawn off and the can is filled with B, the ratio of A and B becomes 7 : 9. How many litres of liquid A was contained by the can initially?

A) 10	B) 20
C) 21	D) 25

Answer & Explanation Answer: C) 21

Explanation:

Suppose the can initially contains 7x and 5x litres of mixtures A and B respectively

Quantity of A in mixture left = $(7 x - \frac{7}{12} \times 9) = (7 x - \frac{21}{4})$ litres.

Quantity of B in mixture left = $(5 x - \frac{5}{12} \times 9) = (5 x - \frac{15}{4})$ litres.

$\frac{(7 x - \frac{21}{4})}{(5 x - \frac{15}{4}) + 9} = \frac{7}{9}$

$\Rightarrow \frac{28 x - 21}{20 x + 21} = \frac{7}{9}$

$\Rightarrow x = 3$

So, the can contained 21 litres of A.

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272 46657

Q:

A parallelogram has sides 30m and 14m and one of its diagonals is 40m long. Then its area is

A) 136	B) 236
C) 336	D) 436

Answer & Explanation Answer: C) 336

Explanation:

let ABCD be the given parallelogram

area of parallelogram ABCD = 2 x (area of triangle ABC)

now a = 30m, b = 14m and c = 40m

s=1/2 x (30+14+40) = 42

Area of triangle ABC = $\sqrt{[s (s - a) (s - b) (s - c)]}$

= $\sqrt{[42 (12) (28) (2)]}$ = 168sq m

area of parallelogram ABCD = 2 x 168 = 336 sq m

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Q:

Simplify : $\frac{5}{28} \div \frac{28}{35} \div \frac{20}{112}$

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

Quantitative Aptitude - Arithmetic Ability Questions

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