Question

Three professors A, B and C are separately given three sets of numbers to add. They were expected to find the answers to 1+1, 1+1+2, and 1+1 respectively. Their respective answers were 3, 3 and 2. How many of the professors are mathematicians?
Statement A
A. A mathematician can never add two numbers correctly, but can always add three numbers correctly.
Statement B
B. When a mathematician makes a mistake in a sum, the error is +1 or -1.

• A. The question can be answered by one of the statements alone but not by the other.
• B. The question can be answered by using either statement alone.
• C. The question can be answered by using both the statements together, but cannot be answered by using either statement alone.
• D. The question cannot be answered even by using both statements together.

Hint:

When solving such puzzles, pay attention to the conditions regarding the mathematicians' mistakes and analyze them based on the given constraints.

Answer 1

The Correct Option is A

From Statement A: A can never add two numbers correctly but can add three numbers correctly. This means A is a mathematician, as 1+1 = 2 is incorrect but adding three numbers is correct.
From Statement B: This helps us understand how mathematicians make mistakes, but it is not necessary to determine how many are mathematicians.
Thus, only Statement A is needed to answer the question, so the Correct Answer is (1).