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