The binary operation * is defined on the set of integers p and q by p*q = pq + p + q. Find 2 * (3 * 4).
A
59
B
19
C
67
D
38
Verified Correct Answer: A.
Step-by-Step Mathematical Solution
\(p \ast q = pq + p + q\)
\(2 \ast (3 \ast 4) \)
\(3 \ast 4 = 12 + 3 + 4 = 19\)
\(2 \ast 19 = 38 + 2 + 19 = 59\)
Source: Myschool Past Questions Archive (Record #3369)