If \( x, y, z \in R \) satisfies the system of equations \( x+[y]+\{z\} \) \( =12.7,[x]+\{y\}+z=...
If \( x, y, z \in R \) satisfies the system of equations \( x+[y]+\{z\} \) \( =12.7,[x]+\{y\}+z=4.1 \) and \( \{x\}+y+[z]=2 \) (where \( \{ \). and [.] denotes the fractional and integral parts respectively), then match the following:
\begin{tabular}{|c|l|c|c|}
\hline \multicolumn{2}{|c|}{ Column - I } & & Column - II \\
\hline A. & \( \{\mathrm{x}\}+\{\mathrm{y}\} \) & p. & 7.7 \\
\hline B. & {\( [\mathrm{z}]+[\mathrm{x}] \)} & q. & 1.1 \\
\hline C. & \( \mathrm{x}+\{\mathrm{z}\} \) & r. & 1 \\
\hline D. & \( \mathrm{z}+[\mathrm{y}]-\{\mathrm{x}\} \) & s. & 3 \\
\hline
\end{tabular}
(a) \( \mathrm{A} \rightarrow \) (r); \( \mathrm{B} \rightarrow(\mathrm{s}) ; \mathrm{C} \rightarrow(\mathrm{p}) ; \mathrm{D} \rightarrow \) (q)
(b) \( \mathrm{A} \rightarrow(\mathrm{q}) ; \mathrm{B} \rightarrow(\mathrm{p}) ; \mathrm{C} \rightarrow(\mathrm{s}) ; \mathrm{D} \rightarrow \) (q)
(c) \( \mathrm{A} \rightarrow \) (q) \( ; \mathrm{B} \rightarrow \) (p); \( \mathrm{C} \rightarrow \) (s); \( \mathrm{D} \rightarrow \) (r)
(d) \( \mathrm{A} \rightarrow(\mathrm{s}) ; \mathrm{B} \rightarrow(\mathrm{q}) ; \mathrm{C} \rightarrow(\mathrm{p}) ; \mathrm{D} \rightarrow(\mathrm{r}) \)
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