Jamb Mathematics Past QuestionsQuestions and Answers on Binary OperationsQuestion 41:If p and q are two non zero numbers and 18(p+q) = (18+p)q, which of the following must be true? A. Q = 18 B. P C. P = 18 D. Q < 1 Question 42:A binary operation \(\oplus\) om real numbers is defined by x \(\oplus\) y = xy + x + y for two real numbers x and y. Find the value of 3 \(\oplus\) - \(\frac{2}{3}\). A. - \(\frac{1}{2}\) B. \(\frac{1}{3}\) C. -1 D. 2 Question 43:The binary operation * is defined on the set of integers such that p * q = pq + p - q. Find 2 * (3 * 4) A. 11 B. 13 C. 15 D. 22 Question 44:The binary operation on the set of real numbers is defined by m*n = \(\frac{mn}{2}\) for all m, n \(\in\) R. If the identity element is 2, find the inverse of -5 A. \(-\frac{4}{5}\) B. \(-\frac{2}{5}\) C. 4 D. 5 Question 45:If a binary operation * is defined by x * y = x + 2y, find 2 * (3 * 4) A. 24 B. 16 C. 14 D. 26 |
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