JAMB 2002 · UME · Q34

Binary operations

The binary operation $*$ is defined on the set of integers by $p * q = pq + p + q$ . Find $2 * (3 * 4)$ .

Worked solution (try it first)

Work out the bracket first: $3 * 4 = 12 + 3 + 4 = 19$ .
Then $2 * 19 = 2 \times 19 + 2 + 19 = 38 + 21$ .
So $2 * (3 * 4) = 59$ , option C.

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