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

A binary operation ⊕ is defined on the set of integers by x ⊕ y = xy – 2y + x². Evaluate 2 ⊕ (1 ⊕ 2). (JAMB 2021)

A. 0
B. 2
C. 3
D. 4

The binary operation * is defined on the set of integers p and q by p * q = pq + p + q. Find 2 * (3 * 4). (JAMB 2002)

A. 59
B. 19
C. 67
D. 38

A binary operation * is defined by a * b = ab + a + b for any real number a and b. If the identity element is zero, find the inverse of 2 under this operation. (JAMB 1999)

A.      B.      C. –      D. -

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

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

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