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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: 6656
GMAT 1: 760 Q51 V42
GPA: 3.82
There are different 10 circles. What is the number of the greatest pos  [#permalink]

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29 Apr 2016, 19:16
2
10
00:00

Difficulty:

35% (medium)

Question Stats:

59% (01:04) correct 41% (01:30) wrong based on 167 sessions

### HideShow timer Statistics

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" ##### Most Helpful Expert Reply Math Expert Joined: 02 Aug 2009 Posts: 7111 Re: There are different 10 circles. What is the number of the greatest pos [#permalink] ### Show Tags 29 Apr 2016, 19:49 3 3 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 _________________ 1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372 2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html 3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html GMAT online Tutor ##### General Discussion SC Moderator Joined: 13 Apr 2015 Posts: 1688 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, 19:38 2 1 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 Revolution GMAT Instructor Joined: 16 Aug 2015 Posts: 6656 GMAT 1: 760 Q51 V42 GPA: 3.82 Re: There are different 10 circles. What is the number of the greatest pos [#permalink] ### Show Tags 04 May 2016, 06:24 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, 08:36
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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Re: There are different 10 circles. What is the number of the greatest pos  [#permalink]

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11 May 2017, 08:38
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.
_________________
Director
Joined: 31 Jul 2017
Posts: 505
Location: Malaysia
GMAT 1: 700 Q50 V33
GPA: 3.95
WE: Consulting (Energy and Utilities)
Re: There are different 10 circles. What is the number of the greatest pos  [#permalink]

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29 Jul 2018, 04:58
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.

Maximum point of Intersection between n different Circles. = 2 *nC2, where n >= 2.
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Re: There are different 10 circles. What is the number of the greatest pos &nbs [#permalink] 29 Jul 2018, 04:58
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