6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

The length, breadth and height of a room are in the ratio 7:3:1. If the breadth and height are doubled while the length is halved, then by what percent the total area of the 4 walls of the room will be increased ?

A) 90%	B) 88%
C) 85%	D) 84%

Answer & Explanation Answer: A) 90%

Explanation:

Let length, breadth and height of the room be 7, 3, 1 unit respectively.

Area of walls = 2(l+b)xh = 2(7+3)x1 = 20 sq. unit.

Now, length, breadth and height of room will become 3.5, 6 and 2 respectively.

Area of walls = 2(l+b)xh = 2(3.5+6)x2 = 38 sq. unit.

% Increase in the area of walls = (38-20)x100/20 = 90%.

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Filed Under: Area
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Q:

What is the value of (cosec60 - 1/2) ?

A) (4-√3)/2√3	B) (2√3-1)/√3
C) (3√3-1)/3	D) 1/√3

Answer & Explanation Answer: A) (4-√3)/2√3

Explanation:

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Q:

Find the probability of selecting exactly 2 children when four persons are choosen at random from a group of 3 men, 2 woman and 4 children.

A) 9/29	B) 10/21
C) 12/21	D) 14/19

Answer & Explanation Answer: B) 10/21

Explanation:

4 persons can be selected from 9 in $9 C_{4}$ ways =126

Fvaourable events = $4 C_{2} * 5 C_{2}$ =60

So,required probability = 60/126 = 10/21

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Filed Under: Probability

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Q:

Direction: What should come in the place of question mark (?) in the following number series?

3, 4, 10, 33, 136, ?

A) 150	B) 298
C) 463	D) 572

Answer & Explanation Answer:

Explanation:

The pattern followed is *1 + 1, *2 +2 , *3 + 3 , *4 + 4 , *5 + 5

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Q:

Find value of $\frac{\log \sqrt{27} + \log 8 + l o g \sqrt{1000}}{\log 120}$

A) 1/2	B) 3/2
C) 2	D) 2/3

Answer & Explanation Answer: B) 3/2

Explanation:

$= \frac{\log \sqrt{3^{3}} + \log 2^{3} + \log \sqrt{10^{3}}}{\log (10 \times 3 \times 2^{2})}$

$= \frac{\log (3^{3})^{\frac{1}{2}} + \log 2^{3} + \log {(10^{3})}^{\frac{1}{2}}}{\log (10 \times 3 \times 2^{2})}$

$= \frac{\frac{1}{2} \log 3^{3} + 3 \log 2 + \frac{1}{2} \log 10^{3}}{\log 10 + \log 3 + \log 2^{2}}$

$= \frac{\frac{3}{2} (\log 3 + 2 \log 2 + \log 10)}{\log 3 + 2 \log 2 + \log 10}$ = $\frac{3}{2}$

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Filed Under: Logarithms
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27 4766

Q:

{8 - (28 - 53)} / {-4 x 5 - (-9)} = ?

A) 11	B) -3
C) 3	D) -11

Answer & Explanation Answer: B) -3

Explanation:

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Q:

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

(A) Fire (B) Light (C) Gas (D) Water

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

Answer & Explanation Answer: D) D

Explanation:

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Q:

If a person having Rs. 2000 and he want to distribute this to his five children in the manner that each son having Rs. 30 more than the younger one , what will be the share of youngest child ?

A) Rs. 175	B) Rs. 325
C) Rs. 340	D) Rs. 260

Answer & Explanation Answer: C) Rs. 340

Explanation:

Assume first child (the youngest) get = Rs. x

According to the question ;
each son having Rs. 30 more than the younger one

Second child will get = Rs. x + 30
Third child will get = Rs. x + 30 + 30 = x + 60
Forth child will get = Rs. x + 30 + 30 + 30 = x + 90
Fifth child will get = Rs. x + 30 + 30 + 30 + 30 = x + 120

Total amount they got = Rs. 2000

x + (x+30) + (x+60) + (x+90) + (x+120) = 2000
5x + 300 = 2000
5x = 1700
x = Rs. 340
So the youngest child will get Rs. 340.

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Filed Under: Chain Rule
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