2024 · Q62
Consider the following for the next ten (10) items that follow: Each item contains a Question followed by two Statements. Answer each item using the following instructions: Let mn = k, where m and n are prime numbers and k is an even number. Question : What is the value of mn - n + 1?
Statement Im > n
Statement IIOne of the numbers is 2.
Elementary MathematicsNumber System
- AIf the Question can be answered by one of the Statements alone, but not by the other.
- BIf the Question can be answered by either Statement alone.
- CIf the Question can be answered by using both the Statements together, but cannot be answered by using either Statement alone.
- DIf the Question cannot be answered even by using both Statements together.
Explanation
Since mn is even and m, n are prime, one of them is 2. With m > n this forces n = 2 but leaves m an arbitrary odd prime, so mn − n + 1 = 2m − 1 cannot be fixed. The question cannot be answered even with both statements: option (d).