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18 Jun 2018, 08:12
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
65%
(hard)
Question Stats:
43% (01:14) correct
57%
(01:08)
wrong
based on 141
sessions
History
Date
Time
Result
Not Attempted Yet
Is AB || CD?
(1) AC = BD
(2) AB = CD
Attachment:
qNiBsQb.png [ 2.09 KiB | Viewed 3988 times ]
18 Jun 2018, 08:33
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GMATPrepNow
1) AC=BD..
Diagonals are equal...
It can be a square.. yes
It can be isosceles trapezium...No
Insufficient
2) AB=CD
Same as above
Insufficient
Combined..
Again the fig could be a square, rectangle, isosceles trapezium etc
See the attached fig..
Left is rhombus..YES
right is isosceles trapezium..NO
insufficient
E
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20 Jun 2018, 05:36
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Target question: Is AB || CD?
I'll use the two shapes below (rectangle and isosceles trapezoid) show that the correct answer is E
Statement 1: AC = BD
Notice that rectangle and isosceles trapezoid both satisfy the condition that AC = BD
In the case of the rectangle, the answer to the target question is YES, AB IS parallel to CD
In the case of the isosceles trapezoid, the answer to the target question is NO, AB is NOT parallel to CD
Since we cannot answer the target question with certainty, statement 1 is NOT SUFFICIENT
Statement 2: AB = CD
Notice that rectangle and isosceles trapezoid both satisfy the condition that AB = CD
In the case of the rectangle, the answer to the target question is YES, AB IS parallel to CD
In the case of the isosceles trapezoid, the answer to the target question is NO, AB is NOT parallel to CD
Since we cannot answer the target question with certainty, statement 2 is NOT SUFFICIENT
Statements 1 and 2 combined
IMPORTANT: Notice that I was able to use the same counter-examples to show that each statement ALONE is not sufficient.
So, the same counter-examples must also satisfy the two statements COMBINED.
Since we cannot answer the target question with certainty, the combined statements are NOT SUFFICIENT
Answer: E
Cheers,
Brent
