Try this problem from I.S.I. B.Stat Entrance Objective Problem based on Greatest Integer and remainder.
Greatest integer and remainders (B.Stat Objective Question)
The greatest integer which, when dividing the integers 13511, 13903 and 14593 leaves the same remainder is
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But try the problem first…
B.Stat Objective Problem 113
Challenges and Thrills of Pre-College Mathematics by University Press
Try with Hints
here all numbers are odd
13511, 13903 and 14593 leaves different remainders when divided by 98, 56 and 7
13511, 13903 and 14593 leaves same remainder when divided by 2
then greatest integer 2.