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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
Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.
Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.
BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question asked.
EACH statement ALONE is sufficient to answer the question asked.
Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.
Option C is the correct answer.
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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