Question

Without performing actual division find the remainders left when 192837465 is divided by
(i) 9 (ii) 11​

Answer 1

(i) add all the digits which is equal to 45 and 45 is divisible by 9 so the remainder is 0
(ii) add all the odd digits which is equal to 15
Add all the even digits which is equal to 30
30-15 = 15. It is divisible by 11 and the remainder is 4