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The least six digit number completely divisible by 111 is:
  • a)
    100000
  • b)
    110000
  • c)
    100011
  • d)
    111000
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
The least six digit number completely divisible by 111 is:a)100000b)11...

This means 100 is the reminder when we divide 100000 by 111.
Hence the last number divisible by 111 before 100000 is 100000 - 100 = 99900.
But this is less than 100000. We are looking for smallest 6 digit number divisible by 100000 - so it has to be greater than 100000.
So 99900+111 = 100011 is greater than 100000, is divisible by 111 and is the smallest 6 digit number divisible by 111.
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The least six digit number completely divisible by 111 is:a)100000b)110000c)100011d)111000Correct answer is option 'C'. Can you explain this answer?
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