Question

If x and y are positive integers, what is the value of $\sqrt{x}+\sqrt{y}$?
(1) $x+y=15$
(2) $\sqrt{xy}=6$

• A. Statement (1) alone is sufficient, but statement (2) alone is not sufficient.
• B. Statement (2) alone is sufficient, but statement (1) alone is not sufficient.
• C. Both statements together are sufficient, but neither statement alone is sufficient.
• D. Each statement alone is sufficient.
• E. Statements (1) and (2) together are not sufficient.

Answer 1

The correct option is C Both statements together are sufficient, but neither statement alone is sufficient.

Combining both the statements, we get, ;

;

.