The greatest number of Mondays that can occur in 45 consecutive days is
(A) 5
(B) 6
(C) 7
(D) 8
(E) 9
Solution

If the first day is a Monday, then every seventh day is also a Monday, and Monday falls on the following numbered days: $1,8,15,22,29,36,43$.

In 45 consecutive days, the maximum number of Mondays is seven.

ANSWER: (C)