Is there any shortcut for this kind of puzzle?

A number when devided

Is there any shortcut for this kind of puzzle?

A number when divided by 24, 40 or 56 leaves a remainder 11 every time
but leaves no remainder when divided by 17.
Is there any shortcut for this kind of puzzle?

Thinker Asked on August 19, 2016 in Logical Puzzle.
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1 Answer(s)

ans is 24*40*56+11=53771

 

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Thinker Answered on August 20, 2016.
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