For any two numbers a and b, the operation ‘◆’ is defined as follows:
a ◆ b = a + b, if a > b
a ◆ b = a × b, if a ≤ b
What is the value of (3 ◆ 5) ◆ 12?
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → 27
Work out the bracket first. For each step, compare the two numbers first to decide which rule applies.
3 ◆ 5: here \(3\le5\), so the second rule applies: \(3\times5=15\)
15 ◆ 12: here \(15>12\), so the first rule applies: \(15+12=27\)