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11 Sep 2018, 03:05
Kudos
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B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
55%
(hard)
Question Stats:
53% (01:44) correct
47%
(02:07)
wrong
based on 32
sessions
History
Date
Time
Result
Not Attempted Yet
In the triangle above if OP is parallel to QR, what is the ratio of NP to PR?
(1) NR = 10
(2) The area of ONP is half of the area of QNR.
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
11 Sep 2018, 04:46
Kudos
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Bunuel
Question: what is the ratio of NP to PR?
The triangles ONP and QNR are similar triangles as the angles are same
Ratio of all corresponding sides are equal in similar triangles and also,
ratio of area of two similar triangles = square of ratio of their corresponding sides
i.e. \(A_1 / A_2 = (S_1 / S_2)^2\)
i.e. we need either ratio of corresponding sides or the ratio of area of the triangles
Statement 1: NR = 10
One side of one triangle is doesn't provide us any informatio of the other triangle hence
NOT SUFFICIENT
Statement 2: The area of ONP is half of the area of QNR.
i.e. \(A_1 / A_2 = (S_1 / S_2)^2 = 1/2\)
i.e. \((S_1 / S_2) = 1/√2\)
i.e. \(NP/PR = S_1 / (S_2 -S_1) = 1/(√2-1)\)
SUFFICIENT
Answer: option B
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