Two binary operations ast and oplus are defines... - JAMB Mathematics 1997 Question
Two binary operations (\ast) and (\oplus) are defines as m (\ast) n = mn - n - 1 and m (\oplus) n = mn + n - 2 for all real numbers m, n.
Find the value of 3 (\oplus) (4 (\ast) 50)
A
60
B
57
C
54
D
42
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Correct Option: C
m (\ast) n = mn - n - 1, m (\oplus) n = mn + n - 2
3 (\oplus) (4 (\ast) 5) = 3 (\oplus) (4 x 5 - 5 - 1) = 3 (\oplus) 14
3 (\oplus) 14 = 3 x 14 + 14 - 2
= 54
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