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Question

If a binary operation * is defined on the set Z of integers as a * b = 3a − b, then the value of (2 * 3) * 4 is
(a) 2
(b) 3
(c) 4
(d) 5

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Solution

(d) 5

Given: a * b = 3a − b
2 * 3 = 3 (2) - 3
= 6 - 3
= 3

(2 * 3) * 4 = 3 * 4
= 3 (3) - 4
= 9 - 4
= 5

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