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23 May 2020, 05:57
Kudos
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A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
5%
(low)
Question Stats:
83% (00:55) correct
17%
(01:14)
wrong
based on 275
sessions
History
Date
Time
Result
Not Attempted Yet
If x > y, is cx > cy ?
(1) c > 0
(2) xy > 0
DS21218
(1) c > 0
(2) xy > 0
DS21218
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23 May 2020, 06:01
Kudos
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Bunuel
Question: is cx > cy ?
Question REPHRASED: is c(x-y) > 0 ?
Given: x > y i.e. x-y is always greater than 0
Question REPHRASED: is c > 0 ?
Statement 1: c > 0
SUFFICIENT
Statementy 2: xy > 0
We do NOT know the sign of c hence
NOT SUFFICIENT
Answer: Option A
23 May 2020, 06:51
Kudos
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Bunuel
Given: x > y
If we subtract y from both sides of the inequality, we get x - y > 0
In other words, x - y is positive
Target question: Is cx > cy ?
This is a good candidate for rephrasing the target question.
Take: Is cx > cy ?
Subtract cy from both sides to get: Is cx - cy > 0 ?
Factor to get: Is c(x - y) > 0 ?
Since we already know that x - y is positive, we get: Is c(some positive number) > 0 ?
In order for c(some positive number) to be positive, c must be positive
So the target question is really asking us whether c is positive
REPHRASED target question: Is c > 0 ?
Aside: the video below has tips on rephrasing the target question
Statement 1: c > 0
Perfect!!
The answer to the REPHRASED target question is YES, c is positive
Since we can answer the target question with certainty, statement 1 is SUFFICIENT
Statement 2: xy > 0
Since statement 2 provides no information how about the value of c, there's no way to answer the REPHRASED target question with certainty
Statement 2 is NOT SUFFICIENT
Answer: A
Cheers,
Brent
VIDEO ON REPHRASING THE TARGET QUESTION:
