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Let \( P=\sum_{n=1}^{10} n\left\{\frac{1^{2}}{1+n}+\frac{2^{2}}{2+n}+\ldots . .+\frac{10^{2}}{10+n}\right\} \) then which of the following is/are correct? (A) \( 2 P \) is perfect square (C) Number of divisors of \( 2 P \) is 9 (B) \( 2 P \) is divisible by \( 11^{2} \) (D) The remainder when \( 2 P \) is divided by 6 is 1 .

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