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

Answer: (A)

Statement I by itself is sufficient to answer the question, but statement II by itself is not.

Answer 2

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.