MyGoalPrep LogoMyGoalPrep.com

Jee Main 2025 — Medium JEE math MCQ

Let $[x]$ denote the greatest integer function, and let m and n respectively be the numbers of the points, where the function $f(x) = [x] + [x - 2]$, $-2 < x < 3$, is not continuous and not differentiable. Then $m + n$ is equal to
  1. A. 6
  2. B. 8
  3. C. 9
  4. D. 7

Solution

The correct option is **B**. (B. 8)

MATH

medium • PYQ Reworded
Question
Read carefully, then pick the best option.
Let [x][x] denote the greatest integer function, and let m and n respectively be the numbers of the points, where the function f(x)=[x]+[x−2]f(x) = [x] + [x - 2], −2<x<3-2 < x < 3, is not continuous and not differentiable. Then m+nm + n is equal to
AI hints
Ask for a nudge. Keep it specific.
Jee Main 2025 — Medium JEE Mathematics MCQ | MyGoalPrep