Direction: In each of the following questions, a question is asked followed by three statements. You have to study the questions and all the three statements given and decide whether any information provided in the statement(s) is/are redundant and can be dispensed with while answering the questions.
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What will be the cost of fencing a circular plot?
∏ = 22 
.... 7
A. Area of the plot is 616 m2.
B. Cost of fencing a rectangular plot whose perimeter is 120 m is $780.
C. Area of a square plot with side equal to the radius of the circular plot is 196 m2.
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- A only
- C only
- A or C only
- B only
- Question cannot be answered even within formation in all three statements.
Correct Option: C
As per the given question , we can say
From statement A , Area of the plot = πr2 = 616 m2 .
⇒ ( 22 / 7 ) x r2 = 616 ⇒ r2 = 616 x ( 7 / 22 ) = 28 x 7 = 196
⇒ r = 14 cm
From statement B , Cost of fencing a rectangular plot = $ 780 and perimeter =120 m
From statement C , Area of a square plot = a2 = 196 m2
⇒ a = √196 = 14
∴ a = 14 = radius of the circular plot
From statement A , we have
Area of the plot = 616 m2
∴ Cost of fencing a circular plot = Area x Cost of fencing a rectangular plot = 616 x 780 = $ 480480
(B) is necessary because only this statement gives the rate of fencing. Anyone of (A) or (C) gives the value of radius, which enables us to find the circumference.
Hence, either (A) or (C) can be dispensed with.
