Binary Operations Jamb Mathematics Past Questions
Question 1
A binary operation \(\otimes\) is defined by \(m \otimes n = mn + m - n\) on the set of real numbers, for all m, n \(\in\) R. Find the value of 3 \(\otimes\) (2 \(\otimes\) 4).
- A. 6
- B. 25
- C. 15
- D. 18
Question 2
If \(m*n = (\frac{m}{n} - \frac{n}{m}\)) for m, n belong to R, evaluate -3*4
- A. \(\frac{-25}{12}\)
- B. \(\frac{-7}{12}\)
- C. \(\frac{7}{12}\)
- D. \(\frac{25}{12}\)
Question 3
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.
- A. 2/3
- B. 1/2
- C. -1/2
- D. -2/3
Question 4
A binary operation * is defined by a * b = a\(^b\). If a * 2 = 2 - a, find the possible values of a.
- A. 1, -1
- B. 1, 2
- C. 2, -2
- D. 1, -2
Question 5
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)
