NinetynineSums of |x − a|: distance on the number line
CAT has tested this idea 5 times across 4 papers, from 2017 to 2022. 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 2021 Slot 2 · QA Q16 | |3x − 20| + |3x − 40| = 20 holds between the points | B |
| CAT 2022 Slot 1 · QA Q10 | |x + a| + |x − 1| = 2 has infinitely many solutions | C |
| CAT 2017 Slot 2 · QA Q32 | |f + g| = |f| + |g| when both share a sign | D |
| CAT 2021 Slot 1 · QA Q2 | |n − 60| < |n − 100| < |n − 20| | D |
| CAT 2022 Slot 1 · QA Q22 | max of a sum of three distances equals 100 | D |
Part of Inequalities & Modulus (49 questions since 2017).