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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

- 98
- 2
- 7
- 56

**Key Concepts**

GCD

Greatest Integer

Remainder

## Check the Answer

But try the problem first…

Answer: 2.

Source

Suggested Reading

B.Stat Objective Problem 113

Challenges and Thrills of Pre-College Mathematics by University Press

## Try with Hints

First hint

here all numbers are odd

Second Hint

13511, 13903 and 14593 leaves different remainders when divided by 98, 56 and 7

Final Step

13511, 13903 and 14593 leaves same remainder when divided by 2

then greatest integer 2.

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