6500+ Quantitative Aptitude Questions and Answers With Explanation

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 59237

Q:

Odd man out of the series

90 72 56 42 36 20

A) 20	B) 36
C) 42	D) 56

Answer & Explanation Answer: B) 36

Explanation:

The given number series is 90 72 56 42 36 20

9 x 10 = 90

8 x 9 = 72

7 x 8 = 56

6 x 7 = 42

5 x 6 = 30 (not 36)

4 x 5 = 20

Hence, the odd man in the given number series is 36.

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Filed Under: Odd Man Out
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8 59209

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
Exam Prep: Bank Exams
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147 59059

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 59047

Q:

What is the value of (sin45 - √3) ?

A) (1-√6)/√2	B) (4-√3)/2√3
C) -1/2√3	D) (2-√3)/2√3

Answer & Explanation Answer: A) (1-√6)/√2

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

0 59026

Q:

What is the simplified form of $\sqrt{\frac{64}{288}}$ ?

A) 23	B) 1/2
C) 23	D) 33

Answer & Explanation Answer: A) 23

Explanation:

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Filed Under: Volume and Surface Area
Exam Prep: Bank Exams

0 58895

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 58888

Q:

Find out the wrong number in the following series:

5, 15, 30, 80, 180, 540, 1080

A) 540	B) 180
C) 30	D) 80

Answer & Explanation Answer: D) 80

Explanation:

There should be 90 instead of 80
so we can have a series
5, 5x3, 15x2, 30x3, 90x2, 180x3, 540x2 and 1080x3 and so on...

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Filed Under: Odd Man Out
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6 58838

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