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Greatest Integer and remainder | TOMATO B.Stat Objective 113

Try this TOMATO problem from I.S.I. B.Stat Entrance Objective based on Greatest Integer and remainder. You may use sequential hints.

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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