Question

A 540 m-long rectangular plot is to be fenced. Find the cost of fencing per square metre.
I. Breadth of the plot is $60$ m.
II. Length of the plot is $120$ m. \bigskip

• A. I alone sufficient; II alone not.
• B. II alone sufficient; I alone not.
• C. Either I alone or II alone sufficient.
• D. Even I + II together not sufficient.
• E. I + II together necessary.
  \bigskip

Hint:

Check that the question’s target quantity is actually computable from the variables given. Missing unit rates often make data insufficient even when dimensions are known.

Answer 1

The Correct Option is D

“540 m-long plot” indicates the total fencing required (perimeter) $=540\Rightarrow L+B=270$.
With I or II we could deduce the other dimension and hence the area; however the \emph{cost per square metre of fencing} requires a price rate, which is nowhere provided. Thus even together, the data are insufficient. \bigskip