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JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

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Let N{N} be any four digit number say x1x2x3x4{x}_1 {x}_2 {x}_3 {x}_4. Then maximum value of Nx1+x2+x3+x4\frac{N}{x_1+x_2+x_3+x_4} is equal to
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Correct option: A
1000
Option A (12\frac{1}{2}) is correct because the sum cos⁡θ+cos⁡3θ+cos⁡5θ\cos \theta + \cos 3\theta + \cos 5\theta can be simplified using trigonometric identities when θ=π7\theta = \frac{\pi}{7}.

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