Question

Is $\sqrt{x}=11?$
(I) Square of 11 is not equal to x.
(II) Square of $\sqrt{x}$ is not equal to the square of 11.

• A. Statement (I) alone is sufficient, but statement (II) alone is not sufficient.
• B. Statement (II) alone is sufficient, but statement (I) alone is not sufficient.
• C. Both statements together are sufficient, but neither statement alone is sufficient.
• D. Each statement alone is sufficient.

Answer 1

Answer: (D)

Each statement alone is sufficient.

(I) $\Rightarrow x\ne {11}^2\Rightarrow \sqrt{x}\ne 11$
(II) $\Rightarrow (\sqrt{x}{)}^2\ne {11}^2\Rightarrow \sqrt{x}\ne 11$
Hence, each statement alone is sufficient to answer the question.