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Find Number Puzzle

Find Number Puzzle Solution - 5 November

Can you find the least possible number such that

If the number is divided by 3 , it gives the remainder of 1;
If the number is divided by 4 , it gives the remainder of 2
If the number is divided by 5 , it gives the remainder of 3;
If the number is divided by 6 , it gives the remainder of 4.

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Solution
58.

Approach
LCM of the numbers 3,4,5 & 6 is 60.

So if i divide 60 by any of the four number , it gives remainder as 0.
Now to get reminder as desired, is should be 2 short of 60. (3-1,4-2,5-3,6-4 )