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
Job Role: Bank PO

96 59443

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
Exam Prep: Bank Exams
Job Role: Bank PO

121 59394

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 59253

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
Job Role: Bank PO

147 59113

Q:

Solve the following :

$24 - [25 - \{26 - (27 - \bar{28 - 29})\}] = ?$

A) -1	B) 1
C) -3	D) -2

Answer & Explanation Answer: C) -3

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

3 59064

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 59062

Q:

The volume of a hemisphere is 2425.5 cm³. Find its diameter (in cm).

A) 10.5	B) 42
C) 21	D) 31.5

Answer & Explanation Answer: C) 21

Explanation:

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

0 58836

Q:

A bag contains 6 black and 8 white balls. One ball is drawn at random. What is the probability that the ball drawn is white?

A) 3/7	B) 4/7
C) 1/8	D) 3/4

Answer & Explanation Answer: B) 4/7

Explanation:

Let number of balls = (6 + 8) = 14.

Number of white balls = 8.

P (drawing a white ball) = 8 /14 = 4/7.

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Filed Under: Probability

96 58741

Quantitative Aptitude - Arithmetic Ability Questions

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