Campus Maths Puzzle Numerical Ability Number System

what is REMAINDER WHEN 76^77 DIVIDED BY 7?

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Campus Other Question

in 125^n what will be the largest value of n that 325^325 will be divisible by 125^n. A,B,C,D.E&F make each one a statement:
A: ------.
B: Today is Saturday.
C: No, he lies. Today is not Saturday.
D: Tomorrow is neither Friday nor Saturday.
E:------.
F: Today is Friday.
Only one of the above statement is true. Then, what day is Today?