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JAMB Mathematics 2023 Paper

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Question : 3

Total: 80

Let '

*

\wedge

' be two binary operations such that

a * b = a^2b

a \wedge b = 2a + b

(-4 * 2) \wedge (7 * -1)

.

-49
64
113
15

Solution:

Concept:

Use each definition separately and replace the values inside the brackets before applying the outer operation.

Explanation:

For

a * b = a^2b

, evaluate

(-4 * 2)

.

(-4 * 2) = (-4)^2 \times 2 = 16 \times 2 = 32

.

Next, evaluate

(7 * -1)

.

(7 * -1) = 7^2 \times (-1) = 49 \times (-1) = -49

.

Now apply the second operation,

x \wedge y = 2x + y

, to the two results.

32 \wedge (-49) = 2(32) + (-49) = 64 - 49 = 15

.

Answer:

15

(Option D).

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