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26 Apr 2019, 02:53
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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:
25%
(medium)
Question Stats:
69% (01:02) correct
31%
(01:04)
wrong
based on 2520
sessions
History
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Time
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Not Attempted Yet
Is quadrilateral PQRS a parallelogram?
(1) Adjacent sides PQ and QR have the same length.
(2) Adjacent sides RS and SP have the same length.
DS51602.01
OG2020 NEW QUESTION
(1) Adjacent sides PQ and QR have the same length.
(2) Adjacent sides RS and SP have the same length.
DS51602.01
OG2020 NEW QUESTION
Updated on: 25 Apr 2021, 13:06
Originally posted by BrentGMATPrepNow on 09 May 2019, 13:41.
Last edited by BrentGMATPrepNow on 25 Apr 2021, 13:06, edited 1 time in total.
Last edited by BrentGMATPrepNow on 25 Apr 2021, 13:06, edited 1 time in total.
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Bunuel
Target question: Is quadrilateral PQRS a parallelogram?
If you recognize that each statement on its own is not sufficient, we can jump straight to . . .
Statements 1 and 2 combined
There are infinitely-many quadrilaterals that satisfy BOTH statements. Here are two:
Case a: PQRS could be a square.
Since a square is a type of parallelogram, the answer to the target question is YES, quadrilateral PQRS IS a parallelogram
Case b: PQRS could be kite-shaped.
In this case, the answer to the target question is NO, quadrilateral PQRS is NOT a parallelogram
Since we cannot answer the target question with certainty, the combined statements are NOT SUFFICIENT
Answer: E
Cheers,
Brent
RELATED VIDEO
26 Apr 2019, 15:36
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The Logical approach to this question starts with the notion that the GMAC uses 5 different ways to tell us that a certain quadrilateral is a parallelogram:
1. We're given two pairs of equal opposite sides.
2. We're given two pairs of parallel sides.
3. We're given one pair of sides that are equal and parallel.
4. We're given two pairs of equal opposite angles.
5. The question states 'In the figure above, ABCD is a parallelogram...".
In this particular question it is the ADJACENT SIDES that are equal, which means that even if both statements are taken into account, all we know is that it is a deltoid. Can it be a parallelogram? Sure, if all 4 sides are equal (i.e. a rhombus), but it doesn't have to be.
The correct answer is (E).
Posted from my mobile device
1. We're given two pairs of equal opposite sides.
2. We're given two pairs of parallel sides.
3. We're given one pair of sides that are equal and parallel.
4. We're given two pairs of equal opposite angles.
5. The question states 'In the figure above, ABCD is a parallelogram...".
In this particular question it is the ADJACENT SIDES that are equal, which means that even if both statements are taken into account, all we know is that it is a deltoid. Can it be a parallelogram? Sure, if all 4 sides are equal (i.e. a rhombus), but it doesn't have to be.
The correct answer is (E).
Posted from my mobile device
