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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
 
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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.