Vasya wrote down several consecutive integers. Which of the following could not be the

percentage of odd numbers among them?
(A) 40 (B) 45 (C) 48 (D) 50 (E) 60

1 answer

The number of odds and evens cannot differ by more than 1.

40 = 2/5, so 2 odds and 3 evens works
48 = 24/25
50 = 1/2
60 = 3/5

45 = 9/20 which cannot be. If there are 9 odds, there cannot be 11 evens.