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JEE MATHEMATICS MCQ: PERMUTATIONS

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Analyzing +4 | -1
If E=14⋅26⋅38⋅410…3062⋅3164=8xE=\frac{1}{4} \cdot \frac{2}{6} \cdot \frac{3}{8} \cdot \frac{4}{10} \ldots \frac{30}{62} \cdot \frac{31}{64}=8^x, then value of xx is
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Correct option: D
−12-12
Option D (-12) is correct because after simplifying the expression for E, it becomes 2−362^{-36} which is equivalent to 8−128^{-12}.

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