\begin{tabular}{|l|l|l|l|} \hline \multicolumn{2}{|c|}{ Column -I } & \multicolumn{2}{|c|}{ Colu...

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\begin{tabular}{|l|l|l|l|}
\hline \multicolumn{2}{|c|}{ Column -I } & \multicolumn{2}{|c|}{ Column -I } \\
\hline A. & \( \begin{array}{l}\text { If } a, b, c \text { are in G.P., then } \log _{c} 10, \\
\log _{b} 10 . \log _{\mathrm{c}} 10 \text { are in. }\end{array} \) & p. & A. P \\
\hline B. & \( \begin{array}{l}\text { If } \frac{a+b e^{x}}{a-b e^{x}}=\frac{b+c e^{x}}{b-c e^{x}} \frac{c+d e^{x}}{c-d e^{x}} \\
\text { then } a, b, c, d \text { are in }\end{array} \) & q. & H. P \\
\hline C. & \( \begin{array}{l}\text { If } a, b, c \text { are in A.P.; } a, x, b \text { are in } \\
\text { G.P. and } b, y, c \text { are in G.P., then } \\
x^{2}, b^{2}, y^{2} \text { are in }\end{array} \) & r. & G.P \\
\hline D. & \( \begin{array}{l}\text { If } x, y, z \text { are in G.P., } a^{x}=b^{x}=c^{z} \\
\text { then } \log a, \log b, \log c \text { are in }\end{array} \) & s. & None of these \\
\hline
\end{tabular}
(a) \( \mathrm{A} \rightarrow \mathrm{r}, \mathrm{B} \rightarrow \mathrm{p}, \mathrm{C} \rightarrow \mathrm{s}, \mathrm{D} \rightarrow \mathrm{q} \)
(b) \( \mathrm{A} \rightarrow \mathrm{q}, \mathrm{B} \rightarrow \mathrm{r}, \mathrm{C} \rightarrow \mathrm{p}, \mathrm{D} \rightarrow \mathrm{r} \)
(c) \( \mathrm{A} \rightarrow \mathrm{s}, \mathrm{B} \rightarrow \mathrm{p}, \mathrm{C} \rightarrow \mathrm{r}, \mathrm{D} \rightarrow \mathrm{q} \)
(d) \( \mathrm{A} \rightarrow \mathrm{p}, \mathrm{B} \rightarrow \mathrm{r}, \mathrm{C} \rightarrow \mathrm{s}, \mathrm{D} \rightarrow \mathrm{q} \)
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