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14 Sep 2018, 01:41
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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:
55%
(hard)
Question Stats:
56% (01:45) correct
44%
(01:41)
wrong
based on 84
sessions
History
Date
Time
Result
Not Attempted Yet
What is the area of the triangle PQR?
(1) The radius of the circle is 5
(2) c = 1
Attachment:
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rahul16singh28
Joined: 31 Jul 2017
Last visit: 09 Jun 2020
Posts: 428
Given Kudos: 752
Location: Malaysia
Schools: INSEAD Jan '19
GPA: 3.95
WE:Consulting (Energy)
Updated on: 14 Sep 2018, 02:20
Originally posted by rahul16singh28 on 14 Sep 2018, 02:09.
Last edited by rahul16singh28 on 14 Sep 2018, 02:20, edited 1 time in total.
Last edited by rahul16singh28 on 14 Sep 2018, 02:20, edited 1 time in total.
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Bunuel
I feel, it should be C.
Statement I:
\(a+c = 10\), but nothing about b. Hence, Insufficient
Statement II:
\(c =1\), but nothing about a, b. Hence, Insufficient.
Combined:
\(a =9, c= 1\)
\(b^2 = 5^2 - 4^2, b = 3\)
Hence, C.
14 Sep 2018, 02:16
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Bunuel
The two things we require is the diameter and the place of point Q..
If you have these, you will be able to make a unique ∆PQR..
Now combined..
Radius is 5, so a unique circle...a+c=10
c is 1, so unique place of Q. And thus unique triangle.
So we should be able to get the area..
If it were a PS..
Join centre say O with Q..
So ∆OQS, S is the point on PR where altitude from Q drops..
Radius=OQ=5
OS=5-c=5-1=4
So QS=√(5^2-4^2)=√9=3
So area =1/2*3*10=15
C
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