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# There are different 10 circles. What is the number of the greatest pos

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Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 5585
GMAT 1: 800 Q59 V59
GPA: 3.82
There are different 10 circles. What is the number of the greatest pos [#permalink]

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29 Apr 2016, 20:16
2
7
00:00

Difficulty:

25% (medium)

Question Stats:

68% (00:35) correct 32% (01:09) wrong based on 115 sessions

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There are different 10 circles. What is the number of the greatest possible points with which the circles intersect?

A. 90
B. 100
C. 110
D. 180
E. 200

* A solution will be posted in two days.

_________________

MathRevolution: Finish GMAT Quant Section with 10 minutes to spare
The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy.
"Only $99 for 3 month Online Course" "Free Resources-30 day online access & Diagnostic Test" "Unlimited Access to over 120 free video lessons - try it yourself" SC Moderator Joined: 13 Apr 2015 Posts: 1689 Location: India Concentration: Strategy, General Management GMAT 1: 200 Q1 V1 GPA: 4 WE: Analyst (Retail) Re: There are different 10 circles. What is the number of the greatest pos [#permalink] ### Show Tags 29 Apr 2016, 20:38 2 1 Maximum points of intersection between n different circles = n*(n - 1) = 10*9 = 90 Answer: A Similar question from Math Revolution: what-is-the-greatest-possible-number-of-points-at-which-11-circles-210362.html Math Expert Joined: 02 Aug 2009 Posts: 5898 Re: There are different 10 circles. What is the number of the greatest pos [#permalink] ### Show Tags 29 Apr 2016, 20:49 3 2 MathRevolution wrote: There are different 10 circles. What is the number of the greatest possible points with which the circles intersect? A. 90 B. 100 C. 110 D. 180 E. 200 * A solution will be posted in two days. Hi, if someone is not aware of the formula, you can easily do the Q through systematic approach.. VISUALIZATION can help us in these type of Qs, first circle - no intersection second circle - 2-points third circle- two existing circles s0 2*2 - 4.. and so on till 10th - 9 existing circle and 2-points on each = 2*9=18.. $$TOTAL = 0+2+4+...16+18 = 2(1+2+3+...8+9) = 2*9*\frac{10}{2} = 90$$ A _________________ Absolute modulus :http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372 Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html GMAT online Tutor Math Revolution GMAT Instructor Joined: 16 Aug 2015 Posts: 5585 GMAT 1: 800 Q59 V59 GPA: 3.82 Re: There are different 10 circles. What is the number of the greatest pos [#permalink] ### Show Tags 04 May 2016, 07:24 1 1 2+2*2+…+2*9=2(1+2+…+9)=2(9)(10)/2=90 Hence, the correct answer is A. - Forget conventional ways of solving math questions. In DS, Variable approach is the easiest and quickest way to find the answer without actually solving the problem. Remember equal number of variables and independent equations ensures a solution. _________________ MathRevolution: Finish GMAT Quant Section with 10 minutes to spare The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy. "Only$99 for 3 month Online Course"
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Re: There are different 10 circles. What is the number of the greatest pos [#permalink]

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11 May 2017, 09:36
1
Top Contributor
MathRevolution wrote:
There are different 10 circles. What is the number of the greatest possible points with which the circles intersect?

A. 90
B. 100
C. 110
D. 180
E. 200

* A solution will be posted in two days.

_________________

Ankit

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Joined: 02 Sep 2009
Posts: 46207
Re: There are different 10 circles. What is the number of the greatest pos [#permalink]

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11 May 2017, 09:38
BrushMyQuant wrote:
MathRevolution wrote:
There are different 10 circles. What is the number of the greatest possible points with which the circles intersect?

A. 90
B. 100
C. 110
D. 180
E. 200

* A solution will be posted in two days.

_______________
Done. Thank you.
_________________
Re: There are different 10 circles. What is the number of the greatest pos   [#permalink] 11 May 2017, 09:38
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