6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

If $4^{x} = \sqrt[7]{1024}$ , then what is the value of x?

A) 5/7	B) 4/7
C) 3/7	D) 6/7

Answer & Explanation Answer: A) 5/7

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

1 47002

Q:

If $\frac{7 x + 9 y}{3 x - 4 y} = \frac{19}{8}$ , then the value of x/y is

A) 148/1	B) 1/148
C) 145/1	D) 1/145

Answer & Explanation Answer: A) 148/1

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

0 46908

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
Exam Prep: Bank Exams
Job Role: Bank PO

47 46752

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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Filed Under: Area
Exam Prep: Bank Exams
Job Role: Bank PO

103 46743

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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Filed Under: Alligation or Mixture

272 46741

Q:

$2^{2} - 3^{3} + 4^{3} - 6^{2} = ?$

A) 2	B) 3
C) 4	D) 5

Answer & Explanation Answer: D) 5

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

0 46683

Q:

Find the next number in the given number series?

50, 51, 47, 56, 40, ?

A) 58	B) 65
C) 76	D) 81

Answer & Explanation Answer: B) 65

Explanation:

The given number series is 50, 51, 47, 56, 40, ?

$50 50 + 1^{2} = 51 51 - 2^{2} = 47 47 + 3^{2} = 56 56 - 4^{2} = 40 40 + 5^{2} = 65$

Hence, the next number in the given number series is 65.

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Filed Under: Odd Man Out
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Analyst , Bank Clerk , Bank PO , Database Administration , IT Trainer

3 46663

Q:

If $y = 1^{3} + 2^{3} + 3^{3} + 4^{3} + 5^{3} + 6^{3}$ then find the value of y - 1.

A) 429	B) 439
C) 440	D) 441

Quantitative Aptitude - Arithmetic Ability Questions

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