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12 Sep 2018, 00:42
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A
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:
51% (01:12) correct
49%
(01:35)
wrong
based on 46
sessions
History
Date
Time
Result
Not Attempted Yet
If P is the midpoint of NR, and lines OP and QR are parallel, what is the area of NQR?
(1) NOP has an area of 20.
(2) QR = 7
Attachment:
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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
12 Sep 2018, 08:16
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Bunuel
Question: what is the area of NQR?
Since the bases of triangles are parallel therefore two triangles are similar
Ratio fo Area of two similar triangles = Square of ratio of their corresponding sides
i.e. \(A_1/A_2 = (S_1/S_2)^2\)
Also we know that \((S_1/S_2) = 1/2\) because P is midpoint of NR
i.e. we only need the area of small triangle to find area of big triangle in this case
Statement 1: NOP has an area of 20
SUFFICIENT
Statement 2: QR = 7
Area can't be calculated with one side hence
NOT SUFFICIENT
Answer:Option A
12 Sep 2018, 08:37
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Midpoint theorem
The Midpoint Theorem states that the segment joining two sides of a triangle at the midpoints of those sides is parallel to the third side and is half the length of the third side.Since we know the height and base reduced to half their previous value, we can determine the area using answer choice (A) alone.
For further reading, here is the Source.
Bunuel
