6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

Which of the following value of 'x' satisfies the equation

$4^{x - 1} . 9^{2 x - 6} = 5184$

A) 2	B) 3
C) 4	D) 6

Answer & Explanation Answer: C) 4

Explanation:

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Q:

Simplify : ${(25)}^{\frac{3}{2}}$

A) 625	B) 15625
C) 125	D) √125

Answer & Explanation Answer: C) 125

Explanation:

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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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47 46652

Q:

Find the odd word/letters/number pair from the given alternatives.

(A) 16-28

(B) 20-30

(C) 30-40

(D) 40-50

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

Answer & Explanation Answer: A) A

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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 46587

Q:

Find the odd man out?

16, 254, 1296, 4096, 10000

A) 16	B) 254
C) 1296	D) 10000

Answer & Explanation Answer: B) 254

Explanation:

The given series 16, 254, 1296, 4096, 10000 follows a pattern that

$2^{4}, 4^{4}, 6^{4}, 8^{4}, 10^{4}, . . .$

Hence, the odd man in the series is 4 x 4 x 4 x 4 = 256 not 254.

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Q:

Compute of 29292 x 9999 = ?

A) 222890708	B) 298290708
C) 292809708	D) 292890708

Answer & Explanation Answer: D) 292890708

Explanation:

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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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