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06 Oct 2021, 02:30
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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:
45%
(medium)
Question Stats:
54% (01:28) correct
46%
(01:38)
wrong
based on 134
sessions
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Given a quadrilateral ABCD with angle ABC = 90. Is angle BCD = 90?
(1) Angle CDA = 90
(2) Sum of opposite angles of quadrilateral ABCD is 180 (i.e. ABC+CDA =180 and BCD+DAB =180)
(1) Angle CDA = 90
(2) Sum of opposite angles of quadrilateral ABCD is 180 (i.e. ABC+CDA =180 and BCD+DAB =180)
Pure algebraic questions like this one are no longer part of the GMAT Data Sufficiency syllabus.
For relevant Data Sufficiency questions, please check the Data Sufficiency forum:
Data Sufficiency Forum
Data Sufficiency Forum
06 Oct 2021, 06:29
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Bunuel
Given: In quadrilateral ABCD, angle ABC = 90
Target question: Is angle BCD = 90?
When I scan the two statements, they both feel insufficient, AND I’m pretty sure I can identify some cases with conflicting answers to the target question. So, I’m going to head straight to……
Statements 1 and 2 combined
Here are two quadrilaterals that satisfy BOTH statements:
Case a: The quadrilateral could look like this:
In this case, the answer to the target question is YES, angle BCD = 90
Case b: The quadrilateral could also look like this:
In this case, the answer to the target question is NO, angle BCD does not equal 90
Since we can't answer the target question with certainty, the combined statements are NOT SUFFICIENT
Answer: E
06 Oct 2021, 07:00
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Correct Option : E
Information :
- Quadrilateral ABCD has only one angle 90° (Angle ABC = 90°)
To Find Angle BCD = 90° ?
Statement 1: opposite angle of ABC, angle CDA = 90° - Not Sufficient, it can be right angle quadrilateral kite.
Statement 2: oppoite angle sum is 90°
With this only assure are one pair of side is 180°, other opposite pair of angle is not sure with addition 180°
Combine both:
Angle ABC = 90°
Opposite Angle CDA = 90°
- adding of angle ABC + angle CDA = 180°
- adding of angle BCA + angle DAB = 180°
(No knowledge about individual angle measure)
Correct Option E
Posted from my mobile device
Information :
- Quadrilateral ABCD has only one angle 90° (Angle ABC = 90°)
To Find Angle BCD = 90° ?
Statement 1: opposite angle of ABC, angle CDA = 90° - Not Sufficient, it can be right angle quadrilateral kite.
Statement 2: oppoite angle sum is 90°
With this only assure are one pair of side is 180°, other opposite pair of angle is not sure with addition 180°
Combine both:
Angle ABC = 90°
Opposite Angle CDA = 90°
- adding of angle ABC + angle CDA = 180°
- adding of angle BCA + angle DAB = 180°
(No knowledge about individual angle measure)
Correct Option E
Posted from my mobile device
