NECO 2023 · Paper 1 · Q6

Modular arithmetic

Find $x$ if $3 \times 8 \equiv x \pmod 9$ .

Worked solution (try it first)

Multiply first: $3 \times 8 = 24$ .
Divide by 9: $24 = 2 \times 9 + 6$ , so the remainder is 6.
So $x = 6$ , option C.

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