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If {x} denotes the fractional part of x, then $\{\frac{2^{2003}}{17}\}$ is

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Correct option is C

22003=24500⋅23⇒ 22003=8(16)500⇒ 22003=8(17−1)500⇒ 22003=8(17)500−500C1(17)499+…−500C499(17)+1⇒ 2200317=8k+817,where k=(17)499−500C1(17)498+…+500C499such that k is an integer∴2200317=817

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If {x} denotes the fractional part of x, then 2200317 is

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If {x} denotes the fractional part of x, then $\{\frac{2^{2003}}{17}\}$ is