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11 Sep 2018, 02:36
Kudos
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C
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:
52% (01:16) correct
48%
(01:24)
wrong
based on 83
sessions
History
Date
Time
Result
Not Attempted Yet
What is the radius of the circle above with center O?
(1) The area of the triangle shown is 10 square units.
(2) The length of PR is equal to that of QR.
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, 06:19
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Bunuel
Since O is the center of the circle, triangle PQR is a right angled triangle.
with Angle PRQ=90 degrees.
Statement 1:The area of the triangle shown is 10 square units.
Area= (1/2)*Base*Height.
2 unknowns, single variable.
Insufficient.
Statement 2: The length of PR is equal to that of QR.
Bu we dont have length with us to calculate.
Insufficient
Combining Statements 1 &2:
PR=QR
therefor RO will be perpendicular to PQ and will be equal to radius of circle.
we can calculate radius from area of triangle.
Suficient.
Answer: C
12 Sep 2018, 05:17
Kudos
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Bunuel
Question : What is the radius of the circle above with center O?
Property: Triangle drwan in a semicircle with two points on diameter and third on circumference is always a right angle triangle with right angle at the circumference
Statement 1: The area of the triangle shown is 10 square units.
The height is still unknown hence the radius of the triangle can not be calculated
NOT SUFFICIENT
Statement 2: The length of PR is equal to that of QR.
i.e. Triangle is isosceles but no actual dimension of area/perimeter/side is given to calculate teh radius of the circl ehence
NOT SUFFICIENT
Combining the two statements
Area of isosceles triangle for given triangle \(= (1/2)(2r)*(r) = 10\)
where 2r is the diameter used as base and r is the height i.e. distance from O to R
Now, we can calculate r hence
SUFFICIENT
Answer: Option C
24 Feb 2021, 12:49
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