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
    $A-q, s, r\ \ B-q, r\ \ C-p, s\ \ D-p, q$

Answer

Correct option: A.
$A-p, q, r\ \ B-p, s\ \ C-r, s\ \ D-p, q$
a

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