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13 Oct 2018, 10:25
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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:
75%
(hard)
Question Stats:
40% (02:09) correct
60%
(02:10)
wrong
based on 50
sessions
History
Date
Time
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Not Attempted Yet
Attachment:
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1) Angle ABC = 90 deg
B) CD = 12
Weekly Quant Quiz #4 Ques 6
13 Oct 2018, 21:09
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This Question can be easily explained using one of the basic property:
As we need the radius of the circle, we need to find the relative position of points wrt each other.
Let us suppose that point C (0,0)
Statement 1: Points C (0,0), A(15,8), D(0,-k) where k is length of CD
Since all points are not defined , circle is not defined.
NOT SUFFICIENT
Statement 2: Points C (0,0), D(0,-12), point A not defined.
NOT SUFFICIENT
combining Statement 1& 2 , we get
Points are A(15,8) C(0,0) and D(0, -12), hence a unique circle can be drawn and its area can be calculated.
SUFFICIENT.
Answer C
(Since, It is a DS Question, there is no need to find the exact area, we need to know whether it can be determined uniquely or not)
A Unique Circle can be drawn using 3 non-collinear points.
As we need the radius of the circle, we need to find the relative position of points wrt each other.
Let us suppose that point C (0,0)
Statement 1: Points C (0,0), A(15,8), D(0,-k) where k is length of CD
Since all points are not defined , circle is not defined.
NOT SUFFICIENT
Statement 2: Points C (0,0), D(0,-12), point A not defined.
NOT SUFFICIENT
combining Statement 1& 2 , we get
Points are A(15,8) C(0,0) and D(0, -12), hence a unique circle can be drawn and its area can be calculated.
SUFFICIENT.
Answer C
(Since, It is a DS Question, there is no need to find the exact area, we need to know whether it can be determined uniquely or not)
General Discussion
saukrit
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13 Oct 2018, 10:43
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Extended CB will touch the circle on point E(let us assume). Now DE has to be the diameter of the Circle. To be able to find length of DE we must be able to find the length of BE first. Now let us see if Either of the statements help us in finding the length of BE(where E is the point where extended CB touches the other end of circle).
1)Angle ABC = 90 deg . This only gives the length of AC the hypotenuse of triangle ABC. Hence NOT SUFFICIENT
2) CD = 12 . This info does not help us in finding the length of BE. Hence this too is NOT SUFFICIENT
Hence, the answer must be E
1)Angle ABC = 90 deg . This only gives the length of AC the hypotenuse of triangle ABC. Hence NOT SUFFICIENT
2) CD = 12 . This info does not help us in finding the length of BE. Hence this too is NOT SUFFICIENT
Hence, the answer must be E
