Question

In this question, you are given two statements. To answer this question, you can use one or both the statements.
What is the value of the 2-digit number ab?
A. The difference between its digits is 4.
B. The sum of its digits is 4.

• A. If statement A ALONE is sufficient to answer the given question, but statement B alone is not.
• B. If statement B ALONE is sufficient to answer the given question, but statement A alone is not.
• C. If both the statements TOGETHER are sufficient to answer the given question, but neither statement alone is sufficient.
• D. If both the statements are INDEPENDENTLY sufficient to answer the given question.

Answer 1

The Correct Option is C

Let the digits of the number be \(x\) and \(y\)
Clearly, each statement alone is not sufficient as there can be many possibilities. By combining the above statements, we get:
\(x+y=4 \) and \(x-y=4\)
By solving above equations, we get:\(x=4\) and \(y=0\), thus number = 40
∴Both statements together are sufficient
The correct answer is (C): If both the statements TOGETHER are sufficient to answer the given question, but neither statement alone is sufficient.