Use some thinking to answer the following question. For integers U and V, when U is divided by V, the remainder is even. Which of the following must be true?
Options:
(A) U is odd
(B) At least one of U and V is odd
(C) The sum U + V is odd
(D) U and V share no common factors other than 1
(E) UV is odd.
At least one of U and V is odd So the final answer is (B).