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
Correct Answer: Option C
Explanation
(m otimes n = mn + m – n)
3 (otimes) (2 (otimes) 4)
2 (otimes) 4 = 2(4) + 2 – 4 = 6
3 (otimes) 6 = 3(6) + 3 – 6 = 15
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