Question

What is the value of \(b\) ?

1. \(2a-b=3\)
2. \(a=b-(1-a)\)

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 B

Statement I : \(2a-b=3\), There are no specific values of \(a\) and \(b\).
Hence, Statement I alone is not sufficient.

Statement II : \(a=b-(1-a)\)
\(⇒ a = b-1+a\)
\(⇒ b=1\)
Hence, Statement II alone is sufficient to find the value of .

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