NinetynineMultiplicative functional equations: evaluate at prime powers
CAT has tested this idea 3 times across 3 papers, from 2017 to 2024. Solve one, and the others are the same method with different numbers or wording, which is why repeated concepts are the most efficient thing to practise.
| Question | What it asks | Answer |
|---|---|---|
| CAT 2019 Slot 2 · QA Q10 | f(mn) = f(m)f(n), f(24) = 54; find f(18) | 12 |
| CAT 2017 Slot 2 · QA Q31 | f(ab) = f(a)f(b); largest f(1) | 1 |
| CAT 2024 Slot 2 · QA Q4 | f(xy) + 1 = (f(x) + 1)(f(y) + 1) at 160000 | B |
Part of Functions & Graphs (23 questions since 2017).