Question

Find the greatest four digit number which when divided: by 3 leaves remainder 1, when divided by 5 leaves remainder 3, when divided by 7 leaves remainder 5, when divided by 9 leaves remainder 7.

Answer 1

Take the LCM of 3,5,7 and nine

should come to be 315

then divide 9999 by 315

subtract the remainder which comes from 9999

then each number has a difference of 2

3-1 = 2

5 -3 = 2

7-5 = 2

9 - 7 = 2

subtract 2 from the number obtained earlier after subtracting the remainder of 9999/315

you should get the answer something in 9763

or something like that