Q:

A) n is odd | B) n + 1 cannot be a prime number |

C) (n + 2) divided by 7 has remainder 2 | D) n + 3 is divisible by 5 |

Answer: D) n + 3 is divisible by 5

Explanation:

Explanation:

You can find the integers which when divided by 5 have a remainder 2 by adding 2 to all multiples of 5. So we have n = 7 , 12, 17, 22 etc.

From this series we can see that n does not have to be odd.

Also n + 1 can be a prime because, for example, 12 + 1 = 13

And (n + 2) / 7 has a remainder 2 in some cases but not all.

Remember the question asks us for what MUST be true, and we see that none of the statements are true in all cases. However, adding 3 to any of the values of n will always give a multiple of 5.