6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

Read the data given below and answer the questions based on it.

In the CBSE Board exams last year, 53% passed in Biology, 61% percent passed in English, 60% in Social studies, 24% in Biology and English, 35% in English and social studies, 27% in Biology and social studies and 5% in none.

What is the ratio of percentage of students who passed in Biology and Social Studies but not English in relation to the percentage of students who passed in Social Studies and English but not Biology?

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

Answer & Explanation Answer: A) 5:7

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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Q:

$Sinθ Cos (90 - θ) + Cosθ Sin (90 - θ) =$

A) 1	B) 2
C) -1	D) 0

Answer & Explanation Answer: A) 1

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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Q:

If $tanα = \sqrt{2} + 1$ , then the value of $tanα - cotα$ is

A) √2 - 1	B) 2√2
C) 2	D) 1

Answer & Explanation Answer: C) 2

Explanation:

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Q:

If $\frac{x^{32} - 1}{x^{16}} = 5$ , then find the value of $\frac{x^{96} - 1}{x^{48}}$ .

A) 40	B) 70
C) 140	D) 180

Answer & Explanation Answer: C) 140

Explanation:

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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.

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Q:

Find the odd man out of the following number series?

22, 26, 42, 78, 142, 244

A) 244	B) 142
C) 78	D) 42

Answer & Explanation Answer: A) 244

Explanation:

The given number series 22, 26, 42, 78, 142, 244 follows a pattern that,

$22 22 + 2^{2} = 22 + 4 = 26 26 + 4^{2} = 26 + 16 = 42 42 + 6^{2} = 42 + 36 = 78 78 + 8^{2} = 78 + 64 = 142 142 + 10^{2} = 142 + 100 = 242$

Hence, the odd one in the given number series is 244.

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