Question

Let ‘*’ be a binary operation defined by a*b=3a^b+5. Find 8*3.

(a) 1547

(b) 1458

(c) 1448

(d) 1541

This question was posed to me during an interview.

The origin of the question is Binary Operations topic in division Relations and Functions of Mathematics – Class 12

Answer 1

Correct choice is (d) 1541

To elaborate: It is given that a*b=3a^b+5.

Then, 8*3=3(8^3)+5=3(512)+5=1536+5=1541.