Solutions
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Question
Color X ink is created by blending red, blue, green and yellow inks in the ratio 6:5:2:2. What is the number of liters of green ink that was used to create a certain batch of color X ink?
I. The amount of red ink used to create the batch is 2 liters more than the amount of blue ink used to create the batch.
II. The batch consists of 30 liters of color X ink.
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 D is the correct answer.
Option Analysis
R:B:G:Y=6:5:2:2
Statement I is sufficient: The amount of red ink used to create the batch is 2 liters more than the amount of blue ink used to create the batch
Let 6x,5x,2x and 2x represent the no of liters of red ink, blue ink, green ink, and yellow ink respectively as per 1st statement we have
6x=5x+2
x=2
No of liters of green ink=2x=4 liters. Sufficient.
Statement II is sufficient: The batch consists of 30 liters of color X ink.
6x+5x+2x+2x=30
15x=30
x=2
No of liters of green ink=2x=4 liters. Sufficient.
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