 # A Fun Zone's Brain Teaser #42

A brain teaser is a form of puzzle that requires thought to solve. It often requires thinking in unconventional ways with given constraints in mind; sometimes it also involves lateral thinking. Logic puzzles and riddles are specific types of brain teasers.
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The Brain Teaser: Scroll Down for your Solution

A9543B represents a six-digit number in which A and B are digits different from each other. The number is divisible by 11 and also by 8.
What digit does A represent?

# The Solution

Definition of solution - a means of solving a problem or dealing with a difficult situation. Our Free Brain Teaser Newsletter Since the number is divisible by 8, the number 43B formed by the last three digits of the given number is divisible by 8. Digit B must be 2.

Since A95432 is divisible by 11, the difference between the sum of its odd-place digits and the sum of its even-place digits is 0 or a multiple of 11. In this case, the difference is 0. Then (A+5+3)-(9+4+2)=0 is equivalent to A+8=15 or A=7.