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16 May 2018, 22:23
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E
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Difficulty:
95%
(hard)
Question Stats:
11% (01:00) correct
89%
(01:13)
wrong
based on 96
sessions
History
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What is the measure of angle A of hexagon ABCDEF?
(1) For hexagon ABCDEF, angle A = angle B = angle D = angle E.
(2) All sides of hexagon ABCDEF are equal.
(1) For hexagon ABCDEF, angle A = angle B = angle D = angle E.
(2) All sides of hexagon ABCDEF are equal.
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
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Expert reply
17 May 2018, 13:30
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What is the measure of angle A of hexagon ABCDEF?
(1) For hexagon ABCDEF, angle A = angle B = angle D = angle E.
(2) All sides of hexagon ABCDEF are equal.
2) If all sides are equal it's a regular hexagon and therefore all the angles are equal
- sum of interior angles of hexagon = (n - 2) * 180 = 4 * 180 = 720
- 720/6 = 120 degrees per angle --------------------> SUFFICIENT
1) Don't know if regular hexagon or not. If A, B, D, & E are equal then C & F are equal. This only tells us 4A + 2B = 720. A can have many values ---> INSUFFICIENT
ANSWER: B
(1) For hexagon ABCDEF, angle A = angle B = angle D = angle E.
(2) All sides of hexagon ABCDEF are equal.
2) If all sides are equal it's a regular hexagon and therefore all the angles are equal
- sum of interior angles of hexagon = (n - 2) * 180 = 4 * 180 = 720
- 720/6 = 120 degrees per angle --------------------> SUFFICIENT
1) Don't know if regular hexagon or not. If A, B, D, & E are equal then C & F are equal. This only tells us 4A + 2B = 720. A can have many values ---> INSUFFICIENT
ANSWER: B
17 May 2018, 19:33
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Attachment:
Photo on 5-17-18 at 9.25 PM.jpg [ 101.84 KiB | Viewed 2924 times ]
I think the answer is E. Uploaded picture is to support my analysis for both statements combined.
Statement 1
The 4 equal angles can all be 1 degree or 2 degrees etc. Not sufficient.
Statement 2
Equal sides does not imply equal angles. Picture a rhombus. Not sufficient.
Combining both statements
You can start with an equiangular and equilateral hexagon and squeeze it like the picture shows. All sides will continue to be equal and 4 angles will also be equal. Thus, combining both statements does not lead to a unique solution. Insufficient.
Answer: E
