Question

when a number is successively divide by 3,5 and 7 and it's give remainder2,4and 4 respectively.what will be the remainder if the the number is divided by 102​

Answer 1

Answer:

number when successively divided by 3,5,7 if gives remainders 2,4,4 can be written as:

3(5(7n+4)+4)+2

= 105n + 74

Now, clearly if 105n + 74 is divided by 105 the remainder is 74.