Qualcomm Logic Interview Puzzle

A convention is held where all the big logicians are summoned. The master places a band on everyone's forehead. Now all of them can see others bands but can't see his own. Then they are told that there are different colours of bands. All the logicians sit in circle and they are further explained that a bell will ring at regular intervals. The moment when a logician knew the colour of band on his forehead, he will leave at the next bell. If anyone leaves at the wrong bell, he will be disqualified.

The master assures the logicians that the puzzle will not be impossible for anyone of them. How will the logicians manage ?

Qualcomm Logic Interview Puzzle




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AIM DUE OAT TIE MOD

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When I divide it by 4, the remainder is 3.
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When I divide it by 6, the remainder is 5.
When I divide it by 7, the remainder is 6.
When I divide it by 8, the remainder is 7.
When I divide it by 9, the remainder is 8.
When I divide it by 10, the remainder is 9.

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When I looked for a smaller number with this property I couldn't find one.

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Crossword puzzles

In the 1920s, people feared that crossword puzzles would contribute to illiteracy.