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May 0312:30 AM EDT
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Learn how Kamakshi achieved a GMAT 675 with an impressive 96th %ile in Data Insights. Discover the unique methods and exam strategies that helped her excel in DI along with other sections for a balanced and high score.
30 Dec 2020, 10:40
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B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
15%
(low)
Question Stats:
85% (01:42) correct
15%
(01:29)
wrong
based on 84
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If x, y and are non zero numbers, what is the value of \(\frac{x}{y}+\frac{z}{y}\)?
(1) \((3x - 2y)^2= 0\)
(2) \(3x = 2y = 4z\)
(1) \((3x - 2y)^2= 0\)
(2) \(3x = 2y = 4z\)
30 Dec 2020, 10:57
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Bunuel
Target question: What is the value of \(\frac{x}{y}+\frac{z}{y}\)?
Statement 1: \((3x - 2y)^2= 0\)
Since we have no information about the value of z, we can't answer the target question with certainty.
Statement 1 is NOT SUFFICIENT
Statement 2: \(3x = 2y = 4z\)
Take \(3x = 2y\) and divide both sides by \(3\) to get: \(x = \frac{2y}{3}\)
Take \(4z = 2y\) and divide both sides by \(4\) to get: \(z = \frac{2y}{4}= \frac{y}{2}\)
At this point, we COULD replace \(x\) and \(z\) with \(\frac{2y}{3}\) and \(\frac{y}{2}\) respectively, in which case we get an expression with y's only, in which case the y's cancel out to give us an actual value.
In other words, we COULD answer the target question, which means statement 2 is SUFFICIENT
Answer: B
Not convinced?
\(\frac{x}{y}+\frac{z}{y}\)\(=\frac{\frac{2y}{3}}{y}+ \frac{\frac{y}{2}}{y}= \frac{2}{3}+\frac{1}{2}\)\(=\frac{7}{6}\)
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