JEE Math Practice Question

STATEMENT - 1 : For every natural number $$n \ge 2,$$ $$${1 \over {\sqrt 1 }} + {1 \over {\sqrt 2 }} + ........ + {1 \over {\sqrt n }} > \sqrt n .$$$ STATEMENT - 2 : For every natural number $$n \ge 2,$$, $$$\sqrt {n\left( {n + 1} \right)} < n + 1.$$$

1. A.Statement - 1 is false, Statement - 2 is true
2. B.Statement - 1 is true, Statement - 2 is true; Statement - 2 is a correct explanation for statement - 1
3. C.Statement - 1 is true, Statement - 2 is true; Statement - 2 is not a correct explanation for Statement - 1
4. D.Statement - 1 is true, Statement - 2 is false