CAT 2021 Slot 1 QA Q8 Inequalities & Modulus

Question 8 of the Quantitative Ability (QA) section, CAT 2021 Slot 1, with CAT's official answer.

If r is a constant such that |x2 - 4 x - 13| = r has exactly three distinct real roots, then the value of r is
  1. A
    15
  2. B
    18
  3. C
    17
  4. D
    21

Answer: (C) 17 Inequalities & Modulus MCQ

A worked solution for this question is being written. Meanwhile, practise it in a timed mock and see how other aspirants did.

Same concept in other years

See every question on Equations with |x|: split into sign cases and count roots.

More Inequalities & Modulus questions from CAT

All 49 Inequalities & Modulus questions asked since 2017.