Question

If a rectangle has length \(a\) and width \(b\), what is its area?

1. \(2a=\frac {15}{b}\)
2. \(a=2b-2\)

This questions has a problem and two statements, number I and II. Decide if the information given in the statement is sufficient for answering the problem. Mark the answer:

• A. Statement I by itself is sufficient to answer the question, but statement II by itself is not.
• B. Statement II by itself is sufficient to answer the question, but statement I by itself is not.
• C. Statements I and II taken together are sufficient to answer the question, even though neither statement by itself is sufficient.
• D. Either statement by itself is sufficient to answer the question.

Answer 1

The Correct Option is A

Length of rectangle = \(a\) and Width = \(b\).
\(⇒\) Area \(= ab\)
Statement I : \(2a = \frac {15}{b}\)
\(⇒ ab = \frac {15}{2}\)

\(⇒ ab = 7.5\)
⇒ Area \(= 7.5\)
Hence, statement I alone is sufficient.
Statement II : \(a= 2b-2\)
Since, there are no specific values of and , we cannot find the area.
Hence statement II alone is not sufficient.

So, the correct option is (A): If statement I by itself is sufficient to answer the question, but statement II by itself is not.