Quote:
Originally Posted by Mohit Pandey
I want to know the way to find solutions to such kinds of question.
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This one is relatively simple, because the remainders are each time the (dividers - 2).
So the smallest nummber that gives these results will be the
least common multiple - 2. Why ? If the remainders were 2 units higher, the number in question would be a multiple of all these dividers.
The least common multiple for 3, 5, 7 and 9 is 315.
Now divide 9999 (the greatest 4 digit number) by 315, and multiply 315 by the integer part of the quotient. You get 9999/315 = 31.74.
315 * 31 = 9765. This - 2 gives
9763
If will be a little more complicated if your remainders do not have something in common like in this case, but still : if you go up the list of numbers, each time you are (least common multiple) units farther, you have the same dividers.
By the way, don't ask us to make your homework every week.
