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Question

Find 8 (mod 4).

A
8(4)(mod 4)
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B
8(8)(mod 4)
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C
8(0)(mod 4)
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D
8(4)(mod 8)
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Solution

The correct option is C 8(0)(mod 4)

With a modulus of 4 (since the possible remainders are 0, 1, 2, 3) we make a diagram like a clock with numbers 0, 1, 2, 3. We start at 0 and go through 8 numbers in a clockwise sequence 1, 2, 3, 0, 1, 2, 3, 0. After doing so cyclically, we end at 0. Therefore, 8(0)(mod 4)

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