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18 Jul 2016, 08:09
Kudos
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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:
82% (00:41) correct
18%
(00:53)
wrong
based on 75
sessions
History
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Not Attempted Yet
If X and Y are positive integers, what is the ratio between Y and X?
(1) XY = 150.
(2) Y is 22% of X.
(1) XY = 150.
(2) Y is 22% of X.
18 Jul 2016, 08:22
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Bunuel
Given X and Y are positive and we are asked to find the the ratio of Y/X.
Stat 1: XY = 150, we can't infer any information to get the ratio. Insufficient.
Stat 2: Y = ( 22/100) X
=> Y/X = 22/100. Hence sufficient.
Option B is correct.
OA please...will correct if I missed anything.
18 Jul 2016, 08:32
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Bunuel
Let's reword the target question slightly...
Target question: What is the ratio Y/X?
Statement 1: XY = 150
This statement doesn't FEEL sufficient, so I'll TEST some values.
There are several values of X and X that satisfy statement 1. Here are two:
Case a: X = 150 and Y = 1, in which case Y/X = 1/150
Case b: X = 30 and Y = 5, in which case Y/X = 5/30
Since we cannot answer the target question with certainty, statement 1 is NOT SUFFICIENT
Aside: For more on this idea of plugging in values when a statement doesn't feel sufficient, you can read my article: https://www.gmatprepnow.com/articles/dat ... lug-values
Statement 2: Y is 22% of X
In other words, Y = 0.22X
We can write this as Y = (22/100)X
Divide both sides by X to get: Y/X = 22/100
Since we can answer the target question with certainty, statement 2 is SUFFICIENT
Answer =
Cheers,
Brent
