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

If x * y = x + y², find the value of (2 * 3) * 5. (JAMB 2010)

A. 55
B. 36
C. 25
D. 11

If x * y = x + y – xy, find x, when (x * 2) + (x * 3) = 68. (JAMB 1997)

A. 24
B. 22
C. – 12
D. - 21

A binary operation * is defined on the set of integers such that p * q = pq + p – q. Find 2 * (3 * 4). (JAMB 2012)

A. 11
B. 13
C. 15
D. 22

A binary operation is defined on the set of real numbers is defined by x * y = for all x, y ∈ R. Find the value of y if 3 * y = 24. (JAMB 2019)

A. 84
B. 48
C. 45
D. 54

A binary operation * on the set of rational numbers is defined as x * y = . Find -5*3. (JAMB 2006)

A.      B. -      C.      D. -