6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

A milkman purchases the milk at Rs. x per litre and sells it at Rs. 2x per litre still he mixes 2 litres water with every 6 litres of pure milk. What is the profit percentage?

A) 116%	B) 166.66%
C) 60%	D) 100%

Answer & Explanation Answer: B) 166.66%

Explanation:

Let the cost price of 1-liter pure milk be Re.1, then

$\{\begin{cases} 6 l i t e r s (m i l k) \to C . P = R s . 6 \\ 2 l i t e r s (w a t e r) \to C . P = R s . 0 \end{cases} \to C P = R s . 6 o n l y$

8 litre mixture =>

SP => 8 x 2 = Rs. 16

Profit % = $\frac{16 - 6}{6} x 100 = \frac{1000}{6} = 166.66 %$

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Filed Under: Profit and Loss
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391 58385

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
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96 58379

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 58249

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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119 58240

Q:

The perimeter of a square is 34 cm. Find its area (in cm2).

A) 144.5	B) 82.25
C) 164.5	D) 72.25

Answer & Explanation Answer: D) 72.25

Explanation:

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Filed Under: Area
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0 58205

Q:

In an election only two candidates contested 20% of the voters did not vote and 120 votes were declared as invalid. The winner got 200 votes more than his opponent thus he secured 41% votes of the total voters on the voter list. Percentage votes of the defeated candidate out of the total votes casted is:

A) 47.5%	B) 41%
C) 38%	D) 45%

Answer & Explanation Answer: D) 45%

Explanation:

Let there be x voters and k votes goes to loser then

0.8x - 120 = k + (k + 200)

k+200 = 0.41x

=> k = 1440

and (k + 200) =1640

Therefore 1440/3200 x 100 = 45%

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Filed Under: Percentage

297 58116

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 58016

Q:

A library has an average of 510 visitors on Sundays and 240 on other days. The average number of visitors per day in a month of 30 days beginning with a Sunday is :

A) 285	B) 290
C) 297	D) 305

Answer & Explanation Answer: A) 285

Explanation:

Since the month begins with a Sunday, so there will be five Sundays in the month,

Quantitative Aptitude - Arithmetic Ability Questions

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