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A Fun Zone's Brain Teaser #120

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.
Today's Brain Teaser | Archive of all Teasers
 

The Brain Teaser: Scroll Down for your Solution

1. That attorney is my brother, testified the accountant.
But the attorney testified he didn't have a brother.
Who is lying?

2. How many 5-digit numbers are there that do not contain the numbers 3 and 5, and are multiples of 4? (It cannot start with 0, ie. 01234 is not a 5 digit number)


 

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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1. Neither, the accountant was his sister.

2. The rule of divisibility says that a number is a multiple of 4 if its last 2 numbers are multiples of 4.
So the last 2 numbers can be 21 different options:00, 04, 08, 12, 16, 20, 24, 28, 40, 44, 48, 60, 64, 68, 72, 76, 80, 84, 88, 92, 96 because they are multiples of 4 and do not have 3's or 5's.
We have the last 2 digits we need to know how many can be in the first digit: 1, 2, 4, 6, 7, 8, 9 and the second and third numbers can have these 7 and number 0 too.