6500+ Quantitative Aptitude Questions and Answers With Explanation

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

Report Error

View Answer Report Error Discuss

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

47 46630

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.

Report Error

View Answer Report Error Discuss

Filed Under: Alligation or Mixture

272 46553

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

Report Error

View Answer Report Error Discuss

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

103 46476

Q:

Which of the following conditions is correct for a right angled triangle?

A) Sum of the two angles of a triangle is greater than the third angle	B) Sum of the two angles of a triangle is less than the third angle
C) Sum of the two angles of a triangle is equal to the third angle	D) None of these

Answer & Explanation Answer: C) Sum of the two angles of a triangle is equal to the third angle

Explanation:

Report Error

View Answer Report Error Discuss

Filed Under: Area
Exam Prep: Bank Exams

0 46385

Q:

What least number must be subtracted from 13601, so that the remainder is divisible by 87 ?

A) 23	B) 31
C) 29	D) 37

Answer & Explanation Answer: C) 29

Explanation:

87)13601(156
87
-----
490
435
-----
551
522
-----
29
-----
Required number is 29.

Report Error

View Answer Report Error Discuss

Filed Under: Numbers

194 46356

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:

Report Error

View Answer Report Error Discuss

Filed Under: Simplification
Exam Prep: Bank Exams

0 46232

Q:

In how many ways can a group of 5 men and 2 women be made out of a total of 7 men and 3 women?

A) 135	B) 63
C) 125	D) 64

Answer & Explanation Answer: B) 63

Explanation:

Required number of ways = $(7 C_{5} * 3 C_{2}) = (7 C_{2} * 3 C_{1}) = 63$

Report Error

View Answer Report Error Discuss

Filed Under: Permutations and Combinations

52 46229

Q:

Solve the following : 80÷[48−56−(60−36÷12×4)]=?

A) 5	B) 8
C) 4	D) 2

Quantitative Aptitude - Arithmetic Ability Questions

Quick Links