Try this problem from I.S.I. B.Stat Entrance Objective Problem based on Integers and remainders.

Integers and remainders( B.Stat Objective Question )


The smallest integer that produces remainder of 2,4,6 and 1 when divided by 3,5,7,11 is

  • 104
  • 419
  • 1154
  • none of these

Key Concepts


Integers

Remainders

Smallest integer

Check the Answer


But try the problem first…

Answer: 419

Source
Suggested Reading

B.Stat Objective Problem 85

Challenges and Thrills of Pre-College Mathematics by University Press

Try with Hints


First hint

here 419=3(139)+2 and 419=7(59)+6

Second Hint

419=5(83)+4 and 419=11(38)+1

Final Step

then required number=419.

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