Home » Two binary operations (ast) and (oplus) are defines as m (ast) n = mn -…

Two binary operations (ast) and (oplus) are defines as m (ast) n = mn -…

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
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

Related:  Mathematics Theory (a) Without using calculator or tables, find the value of (log 3.6) given that (log...