Binary Operations - Jamb Mathematics Past Questions and Answers

Question 26:

• JAMB 2000

Find the inverse of p under the binary operation * defined by p*q = p + q - pq, where p and q are real numbers and zero is the identity

A. P
B. P -1
C. P/(p-1)
D. P/(p+1)

Question 27:

• JAMB 2001

An operation * is defined on the set of real numbers by a*b = a + b + 1. If the identity elements is -1, find the inverse of the element 2 under *.

A. 4
B. Zero
C. -2
D. -4

Question 28:

• JAMB 2001

⊗	k	l	m
k	l	m	k
l	m	k	l
m	k	l	m

The identity element with respect to the multiplication shown in the table above is

A. O
B. M
C. L
D. K

Question 29:

• JAMB 2002

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

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

Question 30:

• JAMB 2004

If the operation * on the set of integers is defined by P * Q = \(\sqrt{PQ}\), find the value of 4 * ( 8 * 32).

A. 8
B. 3
C. 16
D. 4