51 What is the remainder when 617 176 is divided by 7 a 1 b 6 c 0 d 3

The question is (6^17+17^6) /7 !!!!
remainder is 7 !!
the solution is => from remainder cycles of 6 6^17 / 7 = 6 and from fermat little theorem 17 ^ 6 / 7 =1 . so, 6 + 1 =7 .
there fore 7 is the solution!!!
10 years agoHelpfull: Yes(10) No(12)
0 ans: as 6/7 rem is -1 and -1^17 =-1 then 17/7 rem is 1 and 1^6 =1 so -1 =1=0
10 years agoHelpfull: Yes(6) No(1)
options are incorrect
10 years agoHelpfull: Yes(5) No(2)
617+176=793
793%7=2
10 years agoHelpfull: Yes(4) No(1)
617+176=793.
793%7=1.
ans is a option
10 years agoHelpfull: Yes(2) No(21)
617+176=793
793%7=2

option not given, either question is different or options.
10 years agoHelpfull: Yes(1) No(4)
The question is (6^17+17^6) /7 !!!!
remainder is 0 !!
the solution is => from remainder cycles of 6 6^17 / 7 = 6 and from fermat little theorem 17 ^ 6 / 7 =1 . so, 6 + 1 =7 .
and now 7%7=0 so option 3
is correct.
9 years agoHelpfull: Yes(1) No(0)
By remainder theorem,(617%7)+(176%7)=(1+2)%7=(3%7)=3
So,remainder=3.
9 years agoHelpfull: Yes(0) No(0)

51) What is the remainder when 617 + 176 is divided by 7?
a) 1
b) 6
c) 0
d) 3