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What is 11 mod 7 and -11 mod 7?

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What is 11 mod 7 and -11 mod 7?

(a) 4 and 5

(b) 4 and 4

(c) 5 and 3

(d) 4 and -4

The question was asked in examination.

I want to ask this question from Number Theory topic in portion Basic Concepts in Number Theory and Finite Fields of Cryptograph & Network Security

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The correct choice is (d) 4 and -4

The best explanation: 11 mod 7 = 4 ; -11 mod 7 = -4 mod 7 = 3 mod 7.

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