Campus
Maths Puzzle
Numerical Ability
Number System
what is REMAINDER WHEN 76^77 DIVIDED BY 7?
Read Solution (Total 4)
-
- Ans is 6.
Given that 76^77 divided by 7.
=>(76/7)^77
=>((77-1)/7)^77
=>(-1)^77 (Consider only remainders)
=> -1
Therefore remainder is -1 or 7-1=6. - 10 years agoHelpfull: Yes(2) No(0)
- 6
first divide 76 by 7 we get remainder 6 now apply remainder theorem we get 6 as a remainder - 10 years agoHelpfull: Yes(1) No(0)
- (76^77)/7..
(7^2+27)^77/7..
(27^77)/7
(7*3+6)^77/7..
(6^77)/7..
(7-1)^77/7
(-1)^77/7
-1/7-->(7-1)/7..-->6/7..So 6 is the remainder - 10 years agoHelpfull: Yes(0) No(0)
- divid 76 with 7 den we get reminder -1 interms of neg reminder theory
(-1)^77 gives -1
answer is 7-1=6
reminder is 6 - 10 years agoHelpfull: Yes(0) No(0)
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