Here is new brain teaser written by puzzle master Wes Carroll.
The Really, Really, Really Big Number
Difficulty: HARDER
Type: MATH (Numerical/Abstract)
Intimidation Factor: HIGH --- but don't be scared!
Question:
When you divide 12 by 5, the remainder is 2; it's what's left over after you have removed all the 5s from the 12. When you raise 4 to the fifth power (that is, 45), you multiply four by itself five times: 4×4x4×4x4, which equals 1,024.
What is the remainder when you divide 100100 by 11?
Click to read the Solution and Explanation.
