Question

If a * b denotes the larger of 'a' and 'b' and if a∘b = (a * b) + 3, then write the value of (5) ∘ (10), where * and ∘ are binary operations.

Answer 1

a * b = the larger of a and b.

a ∘ b = (a * b) + 3.

= 5 ∘ 10 = (5 ∗ 10) + 3

= 5 * 10 = 10

= (5 ∘ 10) = 10 + 3 = 13

= (5) ∘ (10) = 13