6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

If L exceeds K by 30%, then K is less than L by ?

A) 14 2/5 %	B) 23 1/3 %
C) 20 %	D) 16 %

Answer & Explanation Answer: B) 23 1/3 %

Explanation:

K = 100 L = 130
130------ 30
100------- ? => 23 1/13 %

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Filed Under: Percentage
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3 5140

Q:

The price of a car is increased by 25%, by how much percent, must the new price of this car be decreased to restore its original price ?

A) 20%	B) 24%
C) 21%	D) 25%

Answer & Explanation Answer: A) 20%

Explanation:

Suppose that the original price of the car = Rs. x

Then new price of the car

$= x + x \times \frac{25}{100} = \frac{5}{4} x R s$

To restore the original price, the new price must be decreased by

$\frac{5}{4} x - x = \frac{x}{4} R s$

So required percentage $= \frac{\frac{x}{4}}{\frac{5}{4} x} \times 100 %$

= 20%

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Filed Under: Percentage
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7 5133

Q:

The length of a rectangle is 10 cm more than the breadth. Find the diagonal length of rectangle if perimeter is 44 cm ?

A) 12.50 cm	B) 14.21 cm
C) 15.98 cm	D) 17.08 cm

Answer & Explanation Answer: D) 17.08 cm

Explanation:

Let the length of the rectangle = L cm

Then the breadth of the rectangle = (L - 10) cm

Perimeter of a rectangle = 2(L + B) cm

=> 44 = 2(L + L - 10)

=> 44 = 4L - 20

=> 4L = 64

=> L = 16 cm

=> B = L - 10 = 6 cm

Diagonal = $\sqrt{L^{2} + B^{2}}$ = $\sqrt{16^{2} + 6^{2}}$ = 17.08 cm

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Filed Under: Area
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11 5126

Q:

Find the standard deviation of {11, 7, 10,13, 9}

A) 1	B) 2
C) 4	D) 5

Answer & Explanation Answer: B) 2

Explanation:

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Filed Under: Probability
Exam Prep: Bank Exams

12 5115

Q:

When $7^{21}$ + $7^{22}$ + $7^{23}$ + $7^{24}$ is divided by 25 the remainder is:

A) 5	B) 17
C) 7	D) 0

Answer & Explanation Answer: D) 0

Explanation:

Given, $7^{21}$ + $7^{22}$ + $7^{23}$ + $7^{24}$

$7^{21}$ (1 + 7 + 49 + 343)
$7^{21}$ (400)

Now, 400 is divisible by 25. The remainder will be 0

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Filed Under: Simplification
Exam Prep: AIEEE , Bank Exams , CAT

2 5113

Q:

9 girls working 7 hours a day can complete a piece of work in 15 day. In how many days can 6 girls working for 9 hours a day, complete the same piece of work?

A) 35/4 days	B) 17.5 days
C) 19 3/4 days	D) 37/3 days

Answer & Explanation Answer: B) 17.5 days

Explanation:

Let the number of days be 'p'

As the work is same, we know that

$M 1 x D 1 x H 1 = M 2 x D 2 x H 2$

Where M = Men, D = Days, H = Hours per day

Here M1 = 9, D1 = 15, H1 = 7

M2 = 6, D2 = p, H2 = 9

=> 9 x 15 x 7 = 6 x p x 9

=> p = 35/2 = 17.5 days.

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Filed Under: Time and Work
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8 5107

Q:

$\sqrt{\frac{0.204 \times 42}{0.07 \times 3.4}}$ is equal to:

A) 1/6	B) 0.06
C) 0.6	D) 6

Answer & Explanation Answer: D) 6

Explanation:

$\sqrt{\frac{0.204 \times 42}{0.07 \times 3.4}} = \sqrt{\frac{8568}{238}} = \sqrt{36} = 6$

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Filed Under: Square Roots and Cube Roots

7 5099

Q:

A Woman’s downstream swimming rate is thrice of her upstream swimming rate. If she covers 12 km upstream in 2.5 hours, what distance she will cover in 5 hours downstream?

A) 72 km	B) 36 km
C) 56 km	D) 42 km

Answer & Explanation Answer: A) 72 km

Explanation:

Rate of her upstream = 12/2.5 = 4.8 km/hr

Then, ATQ

Rate of downstream = 4.8 x 3 = 14.4 km/hr

Hence, the distance she covers downstream in 5 hrs = 14.4 x 5 = 72 kms.

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Filed Under: Boats and Streams
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17 5093

Quantitative Aptitude - Arithmetic Ability Questions

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