Mathematics Practice Test – Binary Operations (Questions with Answers and Explanations)

If m * n = n – (m + 2) for any real number m and n, find the value of 3(-5). (JAMB 2009)

A. -6
B. -8
C. -10
D. -12

A binary operation * is defined by a * b = a^b. If a * 2 = 2 – a, find the possible value of a. (JAMB 2000)

A. 1, -2
B. 1, 2
C. 2, -2
D. 1, -1

A binary operation △ is defined by a △ b = a + b + 1 for any real numbers a and b. Find the inverse of the real number 7 under the parenthesis △, if the identity element is -1. (JAMB 2007)

A. 9
B. 5
C. -7
D. -9

An operation is defined on the set of real number by a * b = ab + 2(a + b + 1). Find the identity element. (JAMB 2005)

A. -2
B. -1
C. 2
D. 1

A binary operation * is defined on a set of real numbers by x * y = x^y for all real values of x and y. If x * 2 = x, find the possible value of x.

A. 0, 1
B. 1, 2
C. 2, 2
D. 0, 2