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) 500	B) 300
C) 600	D) 700

Answer & Explanation Answer: D) 700

Explanation:

Let number of boys in the school = x

Let number of girls in the school = y

Number of students participated in the sports = 300

Out of which boys = 100

but given number of boys participated in sports = x/3

=> x/3 = 100

=> x = 300

Remaining girls = 300 - 100 = 200

=> y/2 = 200

=> y = 400

Therefore, total number of students in the school = x + y = 300 + 400 = 700

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Filed Under: Percentage
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15 8509

Q:

A watch which gains uniformly is 2 minutes low at noon on monday and is 4 min.48 sec fast at 2 p.m on the following monday. when was it correct ?

A) 2 p.m on Tuesday	B) 2 p.m on Wednesday
C) 3 p.m on Thursday	D) 1 p.m on Friday

Answer & Explanation Answer: B) 2 p.m on Wednesday

Explanation:

Time from 12 p.m on monday to 2 p.m on the following monday = 7 days 2 hours = 170 hours

Therefore, The watch gains $(2 + 4 \frac{4}{5})$ min. or 34/5 min. in 170 hrs.

Now, 34/5 min. are gained in 170 hrs.

Therefore, 2 min are gained in $(170 \times \frac{5}{34} \times 2)$ hrs = 50 hrs

Therefore, Watch is correct 2 days 2 hrs. after 12 p.m on monday i.e it will be correct at 2 p.m on wednesday.

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Filed Under: Clocks

42 8500

Q:

A man purchases two articles, on selling one at loss of 20% while the other at a profit of 25%, he gains the overall profit of 5% than find the ratio of their selling price ?

A) 8 : 62.5	B) 55 : 8
C) 8 : 65	D) 64.4 : 9

Answer & Explanation Answer: A) 8 : 62.5

Explanation:

Article I Article II
-20 25%
5%
20% 25%

4 : 5

Now, Selling of first article = (4-20%) = 0.8

Selling of second article = (5+25%) = 6.25

Therefore the ratio of selling price = 8 : 62.5

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Filed Under: Profit and Loss
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21 8497

Q:

The average age of a couple was 26 years at the time of marriage. After 11 years of marriage, the average age of the family with 3 children become 19 years. The average age of the children is

Answer

The average age of a couple = 26 years.

Total age of couples = 26 x 2 = 52 years

$\therefore$ Total age of couple after 11 years = (52 + 2 * 11 ) = 74 years

Suppose average age of 3 children after 11 years is 3x years.

$\Rightarrow \frac{74+3x}{5}=19 \Rightarrow x=7$

The average age of children is 7 years.

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Subject: Problems on Ages

10 8492

Q:

A sector of 120, cut out from a circle, has an area of $\frac{66}{7} c m^{2}$ . Find the radius of the circle ?

A) 1	B) 2
C) 3	D) 4

Answer & Explanation Answer: C) 3

Explanation:

Let the radius of the circle be r cm. Then,

$\frac{120}{360} {πr}^{2} = \frac{66}{7}$

$r^{2} = \frac{66}{7} * \frac{7}{22} * 3$

r=3.

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Filed Under: Area
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2 8482

Q:

How many square units in 13 by 9?

A) 13	B) 9
C) 117	D) 13/9

Answer & Explanation Answer: C) 117

Explanation:

Number of square units in 13 by 9 is given by the area it forms with length and breadth as 13 & 9

Area = 13 x 9 = 117

Hence, number of square units in 13 by 9 is 117 sq.units.

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Filed Under: Area
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15 8470

Q:

The angles of a quadrilateral are in the ratio of 2:4:7:5. The smallest angle of the quadrilateral is equal to the smallest angle of a triangle. One of the angles of the triangle is twice the smallest angle of the triangle. What is the second largest angle of the triangle ?

A) 80 degrees	B) 60 degrees
C) 120 degrees	D) 40 degrees

Answer & Explanation Answer: B) 60 degrees

Explanation:

Given the angles of a quadrilateral are in the ratio of 2:4:7:5
Let the angles of a quadrilateral are 2x, 4x, 7x, 5x
But we know that sum of the angles = 360 degrees.
=> 2x + 4x + 7x + 5x = 360
=> x = 20
Therfore, the smallest angle of the quadrilateral = 2x = 2x20 = 40 degrees.
One of the angle of the triangle = 2 x 40 = 80 degrees
The other angle is 180 - (40 + 80) = 60 degrees.

Hence the second largest angle of the triangle is 60 degrees.

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Filed Under: Numbers
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12 8469

Q:

What is the equivalent compound ratio of 5:6::7:10::6:5 ?

A) 7 : 9	B) 9 : 7
C) 7 : 4	D) 7 : 10

Answer & Explanation Answer: D) 7 : 10

Explanation:

Given 5:6 :: 7:10 :: 6:5

We know that compound ratio is calculated as
a:b :: c:d :: e:f
(axcxe):(bxdxf)

=> (5x7x6):(6x10x5)
=> (210):(300)
= 7:10

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Filed Under: Ratios and Proportions
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11 8461

Quantitative Aptitude - Arithmetic Ability Questions

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