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 59414

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 59317

Q:

If A is 40% less than B, then B is how much percentage more than A?

A) 72.33	B) 60
C) 40	D) 66.66

Answer & Explanation Answer: D) 66.66

Explanation:

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Filed Under: Percentage
Exam Prep: Bank Exams

1 59294

Q:

Which of the following statement(s) is/are CORRECT?

I. (√11 + √2) > (√8 + √5)

II. (√10 + √3) > (√7 + √6

A) Only I	B) Only II
C) Neither I nor II	D) Both I and II

Answer & Explanation Answer: C) Neither I nor II

Explanation:

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Filed Under: Simplification
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0 59292

Q:

If $\sin θ = 40 / 41$ , then $c o t θ$ is

A) 40/9	B) 9/40
C) 9/41	D) 41/9

Answer & Explanation Answer: B) 9/40

Explanation:

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Filed Under: Simplification
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Q:

What is the value of $\sqrt[3]{512} + \sqrt{169} + \sqrt[3]{216} + \sqrt{225}$ ?

A) 48	B) 32
C) 42	D) 36

Answer & Explanation Answer: C) 42

Explanation:

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Filed Under: Simplification
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Q:

Find the odd man out?

16, 254, 1296, 4096, 10000

A) 16	B) 254
C) 1296	D) 10000

Answer & Explanation Answer: B) 254

Explanation:

The given series 16, 254, 1296, 4096, 10000 follows a pattern that

$2^{4}, 4^{4}, 6^{4}, 8^{4}, 10^{4}, . . .$

Hence, the odd man in the series is 4 x 4 x 4 x 4 = 256 not 254.

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Filed Under: Odd Man Out
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3 59213

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 59124

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