Solutions
Get detailed explanations to advanced GMAT questions.
Question
The ratio of R to S is 3 to 5, what is the value of the ratio (R + K)/(S + K)?
I. R = 12
II. K = 7
Option A:
Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.
Option B:
Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.
Option C:
BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question asked.
Option D:
EACH statement ALONE is sufficient to answer the question asked.
Option E:
Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.
Difficulty Level
MediumSolution
Option C is the correct answer.
Option Analysis
R:S = 3:5.
Statement I is insufficient: R = 12 –> S = 20. We need K. Not sufficient.
Statement II is insufficient: K = 7 –> (R + K)/(S + K) = (R + 7)/(5R/3 + 7).
The ratio will change depending on R. Not sufficient.
Together I and II,
We know the values of all variables, thus we can get the desired ratio. Sufficient.
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