Multiple choice general knowledge math & puzzles

If the sum of two prime numbers ‘x’ and ‘y’ is odd. Then the product of ‘x’ and ‘y’ must be divisible by …………..

  1. 2

  2. 3

  3. 4

  4. 6

  5. 8

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A Correct answer
Explanation

If the sum of two primes x and y is odd, one must be 2 (the only even prime) and the other must be odd. So we have 2 + odd = odd. The product is 2 × odd, which is always divisible by 2. For example: if x=2 and y=5, sum=7 (odd), product=10, which is divisible by 2.