MCQ
In the following $[\mathrm{x}]$ denotes the greatest integer less than or equal to $\mathrm{x}$. Match the functions in Column $I$ with the properties Column $II$ and indicate your answer by darkening the appropriate bubbles in the $4 \times 4$ matrix given in the $ORS$.
| Column $I$ | Column $II$ |
| $(A)$ $x|x|$ | $(p)$ continuous in $(-1,1)$ |
| $(B)$ $\sqrt{|x|}$ | $(q)$ differentiable in $(-1,1)$ |
| $(C)$ $\mathrm{x}+[\mathrm{x}]$ | $(r)$ strictly increasing in $(-1,1)$ |
| $(D)$ $|x-1|+|x+1|$ | $(s)$ not differentiable at least at one point in $(-1,1)$ |
- ✓$A-p, q, r\ \ B-p, s\ \ C-r, s\ \ D-p, q$
- B$A-p, s, r\ \ B-p, s\ \ C-r, q\ \ D-p, q$
- C$A-p, r, s\ \ B-p, s\ \ C-q, r\ \ D-p, q$
- D$A-q, s, r\ \ B-q, r\ \ C-p, s\ \ D-p, q$