Quantitative Aptitude

General Questions

Quantitative Aptitude Exercise Mode

General Questions

Practice and master this topic with our carefully crafted questions.

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QUEST ? !
Question 31
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 32
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