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

Answer: (B)

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

Answer 2

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.