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Find the Smallest 6 digit number which is exactly divisible by 175

The question is reprouduced here.

Find the smallest 6 digit number Which is exactly divisible by 175


smallest 6-digit number= 100000

Hint: smallest 6-digit number is 1 with 0 written 5 times. Smallest 1-digit number is 1. Smallest 2-digit number is 10 , Smallest 3-digit number is 100 and so on .

100000/175
Quotient= 571
Remainder= 75
100 more can divide it exactly and will remain smallest 6 digit number.
Therefore, The required number = 100000+100
=100100

Hint: Remainder is the amount in the dividend (100000). Therefore this excess amount when added to 100 to get the exact dividend divisible by 175.

Find the smallest 6 digit number which is exactly divisible by 175

Comments

  1. Dear Sir,
    As you have mentioned already, the smallest 6 digit number is 100000, so any number subtracted from that will be " more small" and become a 5 digit number.
    So, we have to add any number greater that smallest number to get the number divisible by 175 exactly.
    Therefore, 571-75=496 is the number we have to add with 100000 to have 100496 and this is the required number as par the question.
    Thanks,
    Subhangi Roy, Techno India Gp.Public School , Hooghly, W.B

    ReplyDelete
    Replies
    1. Thanks for reminding, but the sum has been corrected. The number will be 100100 . This will be exactly divided with quotient 572.

      Delete

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