The sum of seven consecutive integers is 77. The smallest of these integers is
(A) 5
(B) 7
(C) 8
(D) 11
(E) 14
Solution

Since the sum of the seven integers is 77 , their average is $\frac{77}{7}=11$. Because there is an odd number of consecutive integers, 11 is the middle integer and the smallest is 8 . ANSWER: (C)