What is the ratio of y to x?
(1) y = 3x
(2) x = 11
The ratio of y to x can be expressed as a fraction, so the rephrased question is "what is y / x?"
EXPLANATION:
(1) SUFFICIENT: This statement gives y in terms of x. Substituting for y in the rephrased question, we get y / x = 3x / x = 3. The ratio of y to x is 3.
(2) INSUFFICIENT: This statement gives a value for x. Substituting for x in the rephrased question, we get y / x = y / 11. The ratio of y to x is y / 11, which could be any value, depending on the value for y. Since we don’t know the value of y, this statement is insufficient.
The correct answer is A.
I went with 'C'. y to x ratio is undefined when x is zero. The question did not mention whether x is nonzero. (2) by stating x=11 clarified that x is nonzero and so y/x can be 3.