NinetynineInteger solutions of a linear equation with count and range constraints
CAT has tested this idea 5 times across 5 papers, from 2020 to 2025. 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 2022 Slot 3 · QA Q20 | 100 cheques of 100, 250, 500; max number of 500s | 12 |
| CAT 2025 Slot 3 · QA Q13 | 1500 students paying three fees; max science students | 700 |
| CAT 2022 Slot 2 · QA Q15 | marks +3, −1, +1 over 75 questions; max correct | 24 |
| CAT 2025 Slot 1 · QA Q20 | shares at 120, 90, 150 with fixed counts; total value | 15 |
| CAT 2020 Slot 2 · QA Q4 | 2x + 5y = 99 with x ≥ y ≥ −20 | 17 |
Part of Equations (52 questions since 2017).