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23 Aug 2016, 02:44
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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:
25%
(medium)
Question Stats:
76% (01:34) correct
24%
(02:14)
wrong
based on 178
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In the figure above, is AB > BC? (Note: Figure not necessarily drawn to scale.)
(1) AB > CD
(2) (AD − AB) > (AD − BC)
Attachment:
2016-08-23_1343.png [ 1.29 KiB | Viewed 5745 times ]
23 Aug 2016, 05:01
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Bunuel
Need to find AB > BC.
Stat 1: We are not sure of the individual lengths of AB and CD to confirm on this equation...Insufficient.
Stat 2: (AD − AB) > (AD − BC) => BC - AB > 0 .. BC > AB ..Sufficient to answer...
IMO option B is correct answer..
23 Aug 2016, 08:15
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Bunuel
Target question: Is AB > BC?
Statement 1: AB > CD
This statement doesn't FEEL sufficient, so I'll TEST some values.
There are several scenarios that satisfy statement 1. Here are two:
Case a: AB = 3, BC = 1, and CD = 1. In this case, AB > BC
Case b: AB = 3, BC = 4, and CD = 1. In this case, AB < BC
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: (AD − AB) > (AD − BC)
Take AD − AB > AD − BC
Subtract AD from both sides to get: -AB > -BC
Multiply both sides by -1 to get: AB < BC
PERFECT!!
Since we can answer the target question with certainty, statement 2 is SUFFICIENT
Aside: notice that when we multiplies both sides by -1, we REVERSED the direction of the inequality symbol.
Answer =
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