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30 Aug 2018, 04:59
Kudos
Bookmarks
C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
15%
(low)
Question Stats:
82% (01:01) correct
18%
(01:21)
wrong
based on 66
sessions
History
Date
Time
Result
Not Attempted Yet
How far is point C from point B, which touches the circle as shown in the figure?
(1) The radius of the circle is 5 units.
(2) Point C is 10 units away from the center of the circle.
Attachment:
image001 (1).gif [ 2.03 KiB | Viewed 2007 times ]
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
30 Aug 2018, 05:08
Kudos
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Bunuel
Let's join C with centre of circle and connect centre of circle with point of tangency.
Now OCA and OCB are right triangles with right angles at A and B
To find the length of CB we need other two sides of the triangle i.e.
1) OB (Radius of circle) and
2) OC (Distance between centre of circle and point C)
Question: BC = ?
Statement 1: Radius = 5
Second requirement not satisfied hence
NOT SUFFICIENT
Statement 2: Point C is 10 units away from the center of the circle. i.e. OC = 10
Second requirement satisfied but radius is unknown hence
NOT SUFFICIENT
Combining the two statements
We have OB = 5 and OC = 10 hence
SUFFICIENT
Answer: option C
30 Aug 2018, 09:07
Kudos
Bookmarks
Bunuel
Both statements are alone insufficient.
Combined, we have OBC is a right angled triangle with OB=5 , OC=10. (Refer enclosed diagram)
BC can be calculated using Pythagoras principle.
Sufficient.
Ans. (C)
Attachments
Tangent.JPG [ 27.01 KiB | Viewed 1807 times ]
30 Aug 2018, 13:13
Kudos
Bookmarks
Bunuel
Our solution is almost Algebra-free, as shown in the image below.
Important: Take your time to understand our GEOMETRIC BIFURCATIONS and, if necessary, please feel free to ask me about any detail related to it!
This solution follows the notations and rationale taught in the GMATH method.
Attachments
30Ago18_12z.gif [ 44.8 KiB | Viewed 1709 times ]
