CAT 2020 Slot 2 QA Q14 Functions & Graphs

Question 14 of the Quantitative Ability (QA) section, CAT 2020 Slot 2, with CAT's official answer.

Let f(x) = x2 + ax + b and g(x) = f(x + 1) - f(x - 1). If f(x) ≥ 0 for all real x, and g(20) = 72, then the smallest possible value of b is
  1. A
    16
  2. B
    1
  3. C
    4
  4. D
    0

Answer: (C) 4 Functions & Graphs 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 Minimum or maximum of a quadratic at its vertex.

More Functions & Graphs questions from CAT

All 23 Functions & Graphs questions asked since 2017.