6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

One-third of the boys and one-half of the girls of a college participated in a sport. If the number of participating students is 300, out of which 100 are boys. What is the total number of students in the college ?

A) 550	B) 575
C) 625	D) 700

Answer & Explanation Answer: D) 700

Explanation:

Let number of boys = B

Number of girls = G

From the given data,

1B/3 + 1G/2 = 300

But given B/3 = 100

=> B = 300

G/2 = 300 - 100

G = 200 x 2

=> G = 400

Therefore, total number of students in the college = B + G = 700.

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Filed Under: Percentage
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10 3660

Q:

$28 \sqrt{?} + 1426 = \frac{3}{4} o f 2872$

A) 576	B) 676
C) 1296	D) 1444

Answer & Explanation Answer: B) 676

Explanation:

$L e t 28 \sqrt{x} + 1426 = 3 \times 718$

Then $28 \sqrt{x} = 2154 - 1426$

$\Rightarrow 28 \sqrt{x} = 728 \Rightarrow \sqrt{x} = 26$

$∴ x = 676$

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Filed Under: Square Roots and Cube Roots

9 3658

Q:

If $\frac{5 + 2 \sqrt{3}}{7 + 4 \sqrt{3}} = a + b \sqrt{3} t h e n a & b = ?$

A) a=-11,b=-6	B) a=-11,b=6
C) a=11,b=-6	D) a=11,b=6

Answer & Explanation Answer: C) a=11,b=-6

Explanation:

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Filed Under: Square Roots and Cube Roots
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13 3658

Q:

What is the profit or loss % when a shopkeeper bought 4 mangoes for Rs. 6 and sold them @ 4 mangoes for Rs. 4?

A) 36.333%	B) 33.666%
C) 33.333%	D) 36.666%

Answer & Explanation Answer: C) 33.333%

Explanation:

Cost of 4 mangoes = Rs. 6

Cost of 1 mango = Rs. 6/4 = Rs. 1.5

Now, Selling Price of 4 mangoes = Rs. 4

Selling Price of 1 mango = Rs. 4/4 = Rs. 1.0

We observe that, S.P < C.P

Hence, the shopkeeper incurs a loss.

Required loss% = loss/C.P x 100

Loss = 1.5 - 1 = 0.5

C.P = 1.5

Loss% = (0.5/1.5) x 100

= (5/15) x 100

= 1/3 x 100

= 100/3

= 33.333%.

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Filed Under: Profit and Loss
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24 3658

Q:

A can do a piece of work in 15 days and B can do it in 16 days and C can do it 24 days. They started the work together and A leaves after 3 days and B leaves after 4 days from the beginning. How long will work lost ?

A) 10 2/3 days	B) 13 1/5 days
C) 12 2/3 days	D) 11 5/7 days

Answer & Explanation Answer: B) 13 1/5 days

Explanation:

3/15 + 4/16 + x/24 = 1

$\Rightarrow x = 13 \frac{1}{5}$

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Filed Under: Time and Work
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3 3652

Q:

Find the probability that it is either white or red ball when,one ball is drawn at random in a bag that contains 3 black,4 white and 5 red balls

A) 0.5	B) 0.75
C) 0.25	D) 0.8

Answer & Explanation Answer: B) 0.75

Explanation:

P(red ball) = 5/12

P(white ball) = 4/12

P(red or white ball) = 5/12 + 4/12 = 3/4 = 0.75

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Filed Under: Probability

1 3652

Q:

Rohit crosses a 700 metres wide road in 35 seconds. What is his speed (in km/hr)?

A) 54	B) 76
C) 72	D) 84

Answer & Explanation Answer: C) 72

Explanation:

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Filed Under: Time and Work
Exam Prep: Bank Exams

1 3649

Q:

Mohan was married 5 years ago. At present his age is 6/5 times of his age at the time of marriage. His wife is 3 year younger to him. Find his wife’s present age?

A) 21 yrs	B) 24 yrs
C) 27 yrs	D) 30 yrs

Answer & Explanation Answer: C) 27 yrs

Explanation:

Let Mohan present age = p

ATQ,

5/6 x p = p - 5

p = 30

His wifes age = 30 - 3 = 27 yrs.

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Filed Under: Problems on Ages
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14 3648

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