\begin{tabular}{|l} \hline \multicolumn{1}{|c|}{ Column-I } \\ \hline (A) If the first term of a...

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\begin{tabular}{|l}
\hline \multicolumn{1}{|c|}{ Column-I } \\
\hline (A) If the first term of an arithmetic progression is 1 , its second term is \( n \), and the sum of the first \( n \) terms is \( 33 n \) \\
(B) If the equation \( \cos ^{-1} x+\cot ^{-1} x=k \) possess solution, then the largest integral value of \( k \) is \\
(C) \\
The number of solution of equation \\
\( \cos \theta=|1+\sin \theta| \) in interval \( [0,3 \pi] \) \\
is (R) \\
(D) \\
If the quadratic equation \( x^{2}-x-a=0 \) has integral roots where \( a \in N \) and \( 4 \leq a \leq 40 \), then the number of possible values of \( a \) is \\
\hline
\end{tabular}
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