6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

A man walked diagonally across a square lot. Approximately, what was the percent saved by not walking along the edges?

A) 30	B) 40
C) 50	D) 60

Answer & Explanation Answer: A) 30

Explanation:

Let the side of the square(ABCD) be x meters.

Then, AB + BC = 2x metres.

AC = $\sqrt{2 x}$ = (1.41x) m.

Saving on 2x metres = (0.59x) m.

Saving % = $\frac{0.59 x}{2 x} * 100$ = 30% (approx)

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Filed Under: Area
Exam Prep: Bank Exams
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96 59228

Q:

If log 2 = 0.30103, Find the number of digits in 2⁵⁶ is

A) 17	B) 19
C) 23	D) 25

Answer & Explanation Answer: A) 17

Explanation:

$\log (2^{56})$ =56*0.30103 =16.85768.

Its characteristics is 16.

Hence, the number of digits in $2^{56}$ is 17.

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Filed Under: Logarithms
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121 59119

Q:

In following number series only one number is wrong. Find out that wrong or odd number in the series?

6, 78, 858, 7722, 54055, 270270

A) 270270	B) 54055
C) 7722	D) 858

Answer & Explanation Answer: B) 54055

Explanation:

Here the given series follows a pattern that, multiplying the number with odd numbers in decreasing order starting with 13. That is,

6 × 13 = 78

65 × 11 = 858

858 × 9 = 7722

7722 × 7 = 54054

54054 × 5 = 270270

Hence, the wrong number is 54055

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Filed Under: Odd Man Out
Exam Prep: GATE , CAT , Bank Exams , AIEEE
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8 59086

Q:

Compute of 15872/32/4 = ?

A) 142	B) 1984
C) 124	D) 1948

Answer & Explanation Answer: C) 124

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

2 59062

Q:

Find the next number in the number series?

1, 4, 12, 32, ?

A) 80	B) 100
C) 192	D) 169

Answer & Explanation Answer: A) 80

Explanation:

Next number of the sequence 1, 4, 12, 32,...

1 = 2 x $2^{0}$

4 = 2 x $2^{1}$

12 = 3 x $2^{2}$

32 = 4 x $2^{3}$

80 = 5 x $2^{4}$ .

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Filed Under: Odd Man Out
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5 59042

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 58970

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 58918

Q:

Find the Missing number in the given number series?

5, 9, 15, 23, ?, 45

A) 33	B) 29
C) 31	D) 35

Answer & Explanation Answer: A) 33

Explanation:

The given series follows a pattern that,

+4, +6, +8, +10, +12...

5

5 + 4 = 9

9 + 6 = 15

15 + 8 = 23

23 + 10 = 33

33 + 12 = 45

Hence, the missing number in the series is 33.

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Filed Under: Odd Man Out
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3 58834

Quantitative Aptitude - Arithmetic Ability Questions

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