Practice problems :
1. 204320432043 find remainder when it is divided by 3, 4, 5, 6, 7, 8, 9, and 11.
2. X = 996997998997998999 what will be the remainder when X is divided by 997 ?
3. What is the remainder when 599 is divided by 13 ?
4. A= 11111...... 46 times M= 22222......64 times. what is the remainer when A x M is divided by 18 ?
5. 8 is written 88 times to make an 88 digit number. What is the remainder when this number is divide by 7 ?
6. A man has 1 ! + 2 ! + 3 !..............1000 ! chocolates and he has to divide them equally among n children. Which of the following is the possible ovalue of n ? (a). 5 (b) 7 (c) 16 (d) 9
7. 6!7!13333 is divided by 13 find the reminder?
8. For how many prime numbers p ; p4 + 15p2-1 is also a prime number ?
(a) 0 (b) 1 (c) 2 ( d) 3 (e) none of these
