Binary Operations - Jamb Mathematics Past Questions and Answers

Question 6:

• JAMB 2019

A binary operation Δ is defined by a Δ b = a + 3b + 2.
Find (3 Δ 2) Δ 5

A. 35
B. 59
C. 28
D. 87

Question 7:

• JAMB 2017

If m * n = [m_n − n_m] for m, n belong to R, evaluate − 3 * 4

A. 3
B. 4
C. 5
D. 6

Question 8:

• JAMB 2014

A binary operation * is defined by x * y = x^y. If x * 2 = 12 - x, find the possible values of x

A. 3,4
B. 3,-4
C. -3,4
D. -3,-4

Question 9:

• JAMB 2013

If a binary operation * is defined by x * y = x + 2y, find 2 * (3 * 4)

A. 24
B. 16
C. 14
D. 26

Question 10:

• JAMB 1978

Given that \(a*b = ab + a + b\) and that \(a ♦ b = a + b = 1\). Find an expression (not involving * or ♦) for (a*b) ♦ (a*c) if a, b, c, are real numbers and the operations on the right are ordinary addition and multiplication of numbers

A. Ac + ab + bc + b + c + 1
B. Ac + ab + a + c + 2
C. Ab + ac + a + b + 1
D. Ac + bc + ab + b + c + 2
E. Ab + ac + 2a + b + c + 1