6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

If the radius of a circle is decreased by 50%, find the percentage decrease in its area.

A) 55%	B) 65%
C) 75%	D) 85%

Answer & Explanation Answer: C) 75%

Explanation:

Let original radius = R.

New radius = $\frac{50}{100} R$ = $\frac{50}{100} R$

Original area = $\frac{R}{2}$ and new area = ${πR}^{2}$

$\frac{3 {πR}^{2}}{4} * \frac{1}{{πR}^{2}} * 100$

Decrease in area = $π {(\frac{R}{2})}^{2} = \frac{{πR}^{2}}{4}$ = 75%

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Filed Under: Area
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147 58887

Q:

Find the odd one out of the series ?

35, 48, 54, 63, 81, 105

A) 63	B) 48
C) 35	D) 81

Answer & Explanation Answer: C) 35

Explanation:

48, 54, 63, 81 and 105 are divisible by 3 but not 35.

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Q:

One card is drawn at random from a pack of 52 cards. What is the probability that the card drawn is a face card (Jack, Queen and King only)?

A) 3/13	B) 1/13
C) 3/52	D) 9/52

Answer & Explanation Answer: A) 3/13

Explanation:

Clearly, there are 52 cards, out of which there are 12 face cards.

P (getting a face card) = 12/52=3/13.

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Filed Under: Probability

100 58724

Q:

Find the odd man out of the following series?

6, 8, 5, 10, 4, 14

A) 8	B) 10
C) 4	D) 5

Answer & Explanation Answer: C) 4

Explanation:

The given number series is 6, 8, 5, 10, 4, 14

6

6 + 2 = 8

8 - 3 = 5

5 + 5 = 10

10 - 7 = 3

3 + 11 = 14

...

Hence, the odd man in the given series is 4.

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1 58695

Q:

In the following question, select the odd word pair from the given alternatives.

A) Net – Badminton	B) Gloves – Boxing
C) Players – Chess	D) Ball – Cricket

Answer & Explanation Answer: B) Gloves – Boxing

Explanation:

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5 58417

Q:

The salaries of A, B, and C are in the ratio of 1 : 2 : 3. The salary of B and C together is Rs. 6000. By what percent is the salary of C more than that of A?

A) 100 %	B) 200%
C) 300%	D) 600%

Answer & Explanation Answer: B) 200%

Explanation:

Let the salaries of A, B, C be x, 2x and 3x respectively.

Then,2x + 3x = 6000 => x = 1200.

A's salary = Rs. 1200, B's salary = Rs. 2400, and Cs salary Rs. 3600.
Excess of C's salary over A's=[ (2400 /1200) x 100] = 200%.

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Filed Under: Ratios and Proportions

144 58396

Q:

Calculate the value of x, if $\sqrt{1 - (\frac{x}{529})} = (\frac{16}{23})$

A) 283	B) 276
C) 273	D) 374

Answer & Explanation Answer: C) 273

Explanation:

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Filed Under: Simplification
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3 58305

Q:

Find the missing number in the series

1, 6, ?, 15, 45, 66, 91

A) 24	B) 28
C) 32	D) 26

Answer & Explanation Answer: B) 28

Explanation:

Here the given series 1, 6, ?, 15, 45, 66, 91 follows a

Pattern in the series is, +5, +9, +13,...,.. +21, +25

So +4 is getting increased at every term addition.

Missing Number in the series will be 15+(9+4) = 15 + 13 = 28.

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Filed Under: Odd Man Out
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