Quantitative Aptitude

General Questions

Quantitative Aptitude Exercise Mode

General Questions

Practice and master this topic with our carefully crafted questions.

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Question 11
One side of a parallelogram is 8.06 cm and its perpendicular distance from opposite side is 2.08 cm. What is the approximate area of the parallelogram?

A
12.56 cm2
B
14.56 cm2
C
16.76 cm2
D
22.56 cm2
Correct Answer: Option C

Area of parallelogram = Base x Height

= 8.06 x 2.08 = 16.76 cm2

Question 12
The length and breadth of a rectangular piece of land are in the ratio of 5 : 3, the owner spent ₹ 3000 for surrounding it from all the sides at ₹ 7.50 per meter. The different between its length and breadth is ?

A
50 m
B
100 m
C
150 m
D
200 m
Correct Answer: Option A

Let Length = 5y meters and breadth = 3y meters.

Then, perimeter = 2 x (5y + 3y ) m = 16y meters ...(i)

But perimeter = Total Cost / Rate = 3000 / 7.50 m = 400 m ...(ii)

from eqs. (i) and (ii)

16y = 400

⇒ y = 25

∴ Length - Breadth = (5 x 25 - 3 x 25 ) m

= 2 x 25 m

= 50 m

Question 13
The cost of cultivating a square field at the rate of Rs. 160 per hectare is Rs. 1440. the cost of putting a fence around it at 75 paisa per meter is ?

A
₹ 900
B
₹ 1800
C
₹ 360
D
₹ 810
Correct Answer: Option A

Area = 1440 / 160 hectares

= 9 hectares

= 90000 m2

∴ One side = √90000 m

= 300 m

So perimeter = 4 x 300 m

= 1200 m

∴ Cost of fencing = Rs (1200 x 75) / 100

= Rs. 900

Question 14
A rectangular plot is half as long again as it broad. The area of the lawn is 2/3 hectares. The length of the plot is?

A
100 meters
B
66.66 meters
C
33 meters
D
(100/ √ 3 ) meters
Correct Answer: Option A

Let breadth = b meters.

then, length = 3b/2 meters

∴ b x 3b/2 = 2/3 X 10000

⇒ b2 = (4 x 10000)/9

⇒ b = ( 2 X 100)/3 m

∴ Length = (3/2) x (2/3) x 100 m

= 100 m

Question 15
The length of a plot is four times its breath. A playground measuring 1200 square meters occupies one third of the total area of a plot . what is the length of the plot in meters ?

A
20
B
30
C
60
D
None of these
Correct Answer: Option D

Area of the plot = (3 x 1200) m2

= 3600 m2

Let breadth = y meters

Then Length = 4y meters,

Now area = 4y x y = 3600 m2

⇒ y2 = 900 m2

⇒ y = 30 m

∴ Length of plot = 4y m

= (4 x 30) m

=120 m

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