# 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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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 .