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)
Find the value of 3 (oplus) (4 (ast) 50)
-
A.
60 -
B.
57 -
C.
54 -
D.
42
Correct Answer: Option C
Explanation
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