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06 Sep 2022, 06:26
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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:
35%
(medium)
Question Stats:
69% (01:00) correct
31%
(01:12)
wrong
based on 29
sessions
History
Date
Time
Result
Not Attempted Yet
Is parallelogram ABCD a rectangle?
(1) Each diagonal of ABCD divides ABCD into two triangles having equal areas.
(2) AC bisects BD.
(1) Each diagonal of ABCD divides ABCD into two triangles having equal areas.
(2) AC bisects BD.
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
07 Sep 2022, 05:59
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Question stem analysis
This question is based on the properties of common quadrilaterals.
Statement 1
Each diagonal of ABCD divides ABCD into two triangles having equal areas.
This statement is insufficient and we eliminate options A and D.
Statement 2
AC bisects BD.
This statement is insufficient and we eliminate B.
Combine
The answer is E.
NOTE: I am considering rhombus and square as a subset of the parallelogram as they follow all the attributes. GMAT do not test you on this so you need not worry about it
This question is based on the properties of common quadrilaterals.
- It is given that ABCD is a parallelogram and we need to find out if it is a rectangle or not. This is a yes-no type DS
Statement 1
Each diagonal of ABCD divides ABCD into two triangles having equal areas.
- This is true for all the parallelograms, so it can be a parallelogram, rhombus, square, or rectangle.
This statement is insufficient and we eliminate options A and D.
Statement 2
AC bisects BD.
- Again for any parallelogram, the diagonals bisect each other. So it can be a parallelogram, rhombus, square, or rectangle.
This statement is insufficient and we eliminate B.
Combine
- Even if we combine, we have the same possibilities so that is also insufficient.
The answer is E.
NOTE: I am considering rhombus and square as a subset of the parallelogram as they follow all the attributes. GMAT do not test you on this so you need not worry about it
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