If 'X' is a prime number and 'Y' is an even number greater than 2, which of the

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Question: If \'X\' is a prime number and \'Y\' is an even number greater than 2, which of the following can be concluded?

Options:

Correct Answer: X + Y is odd.

Solution:

A prime number (X) greater than 2 is odd, and an even number (Y) added to an odd number results in an odd sum.

If 'X' is a prime number and 'Y' is an even number greater than 2, which of the following can be concluded?

If 'X' is a prime number and 'Y' is an even number greater than 2, which of the following can be concluded?

Step 1: Understand what a prime number is. A prime number is a number greater than 1 that has no positive divisors other than 1 and itself.
Step 2: Identify that the only even prime number is 2. All other prime numbers are odd.
Step 3: Recognize that 'X' is a prime number and it must be greater than 2, which means 'X' is odd.
Step 4: Understand what an even number is. An even number is any integer that is divisible by 2.
Step 5: Note that 'Y' is an even number greater than 2, so 'Y' is also an even number.
Step 6: Remember the rule of adding odd and even numbers: when you add an odd number (X) to an even number (Y), the result is always odd.
Step 7: Conclude that the sum of 'X' (odd) and 'Y' (even) will be odd.

Prime Numbers – A prime number is a natural number greater than 1 that cannot be formed by multiplying two smaller natural numbers. The only even prime number is 2; all other prime numbers are odd.
Even and Odd Numbers – An even number is divisible by 2, while an odd number is not. The sum of an even number and an odd number is always odd.