Each question contains statements given in two columns, which have to be matched. The statements in Column-I are labelled A, B, C and D, while the statements in Column II are labelled p, q, r, s and t. Any given statement in Column-I can have correct matching with ONE OR MORE statement(s) in ColumnII. The appropriate bubbles corresponding to the answers to these questions have to be darkened as illustrated in the following example: If the correct matches are A-p, s and t; B-q and r; C-p and q; and \( \mathrm{D} \)-s then the correct darkening of bubbles will look like the given.
In the following \( [x] \) denotes the greatest integer less than or equal to \( \mathrm{x} \). Match the functions in Column I with the properties in Column II and indicate your answer by darkening the appropriate bubbles in the \( 4 \times 4 \) matrix given in the ORS.
\begin{tabular}{|l|l|l|l|}
\hline \multicolumn{2}{|c|}{ Column-I } & \multicolumn{2}{c|}{ Column-II } \\
\hline (A) & \( x|x| \) & (P) & Continuous in (-1, 1) \\
\hline (B) & \( \sqrt{|x|} \) & (Q) & \begin{tabular}{l}
Differentiable in (-1, \\
\( 1) \)
\end{tabular} \\
\hline (C) & \( x+[x] \) & (R) & \begin{tabular}{l}
strictly increasing in (- \\
\( 1,1) \)
\end{tabular} \\
\hline (D) & \( |x-1|+\mid x+ \) & (S) & \begin{tabular}{l}
Not differentiable at \\
least at one point in (- \\
\( 1,1) \)
\end{tabular} \\
\hline
\end{tabular}
\begin{tabular}{lllll}
& A & B & C & D \\
(1) & P,Q,R & P,S & R,S & P,Q \\
(2) & Q,P,R & P,S & R,S & P,Q \\
(3) & P,Q,R & P,S & S,R & P,Q \\
(4) & R,Q,P & P,S & R,S & Q,P
\end{tabular}
0