Question

Two statements numbered I and II given below. Decide whether the data provided in the statements is sufficient to answer the question.

The area of a playground is 1600 square metres. What is its perimeter ?
I. It is a perfect square playground.
II. It costs Rs. 3200 to put a fence around the playground at the rate of Rs. 20 per metre.

• A. The data in statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question
• B. The data in statement II alone are sufficient to answer the question, while the data in statement i alone are not sufficient to answer the question
• C. The data either in statement I alone or in statement II alone are sufficient of answer the question
• D. The data given in both statements I and II together are necessary to answer the question
• E. The data given in both statements I and II together are not sufficient to answer the question.

Answer 1

The correct option is C The data either in statement I alone or in statement II alone are sufficient of answer the question

Area $=$1600 m².

Statement 1

Since playground is a square

Side $=\sqrt{1600}$ m$=$ 40m

Perimeter $=$4*side $=$ (40 x 4) m $=$ 160

Hence Statement I alone gives the answer.

Statement 2

$Perimeter=\frac{Totalcost}{costpermeter}=\frac{3200}{20}m=160m.$

Hence Statement 2 can alone gives the answer.

Option C