2017 AMC 10B Problems/Problem 25

Problem

Last year Isabella took math tests and received different scores, each an integer between and , inclusive. After each test she noticed that the average of her test scores was an integer. Her score on the seventh test was . What was her score on the sixth test?

Cheap Solution

By inspection, the sequences and work, so the answer is $\boxed{\textbf{E } 100}.