Question

Is the sum of the integers from $54$ to $153$ inclusive, divisible by $100$?

• A. Yes
• B. No
• C. Cannot be determined
• D. Can't say

Answer 1

The correct option is B No

There are $100$ integers from $54$ to $153$, inclusive.

For any even number of consecutive integers, the sum of all the integers is never a multiple of the number of integers.

Thus, the sum of the integers from $54$ to $153$ will not be divisible by $100$.