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.
Related Questions
- Each vote in a certain election went to one of the two candidates, x or y. Candidate X received 624 votes…
- When the even integer n is divided by 9, the remainder is 8. Which of the following, when added to n…
- The outside of the rectangular box represented in the figure above is to be decorated by attaching pieces of…
- The logo of a certain corporation is in the shape of a polygon, where all angles of a the polygon have…
- At Company X senior sales representatives visit the home office once every 30 days, and junior sales…