How many circles can be drawn on the line segment

Oldest

Best Reply

Author

Message

TAGS:

Senior Manager

Joined: 25 Nov 2011

Posts: 261

Location: India

Concentration: Technology, General Management

GPA: 3.95

WE: Information Technology (Computer Software)

Followers: 3

Kudos [?]: 20 [0], given: 20

How many circles can be drawn on the line segment [#permalink]

26 Feb 2012, 00:05

00:00

Question Stats:

50% (03:01) correct

50% (00:00) wrong

based on 0 sessions

Assume that there are 12 points on a straight line as shown below:

--*-*-*----*-*-*-*-*--*-*-*-*

How many circles can be drawn on the line segment above if each circle is subject to the rule that the endpoints of one of its diameters must be any two of the points?

36
66
72
78
121

[Reveal] Spoiler: OA

_________________

-------------------------
-Aravind Chembeti

GMAT Club team member

Joined: 02 Sep 2009

Posts: 11594

Followers: 1799

Kudos [?]: 9583 [0], given: 826

Re: How many circles can be drawn on the line segment [#permalink]

26 Feb 2012, 00:15

Chembeti wrote:

Any 2 different points out of given 12 colinear points can be the endpoints of the diameter, so there can be C^2_{12}=66 circles drawn.

Answer: B.
_________________

PLEASE READ AND FOLLOW: 11 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory

COLLECTION OF QUESTIONS:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. NEW!!!

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS ; 9 Devil's Dozen!!!; 10 Number Properties set. NEW!!!

What are GMAT Club Tests?
25 extra-hard Quant Tests

Find out what's new at GMAT Club - latest features and updates

Re: How many circles can be drawn on the line segment [#permalink] 26 Feb 2012, 00:15

	Similar topics	Author	Replies	Last post
Similar Topics:	How many triangles can be drawn in a Hexagon such that no	Vicky	6	26 Sep 2003, 21:35
	In the figure below, how many of the points on line segment	gautamps	2	03 Apr 2004, 04:32
	how many numbers between 1 and 99 inclusive can x be drawn	diesel2003	2	11 Oct 2004, 17:50
	In the figure above, how many of the points on line segment	mandy	5	17 Jun 2005, 15:38
	How many points on line segment 2x+y=12, where	arjtryarjtry	3	25 Jul 2008, 03:03

How many circles can be drawn on the line segment

Main navigation

GMAT Resources

Partners

MBA Resources

GMAT ® is a registered trademark of the Graduate Management Admission Council ® (GMAC ®). GMAT Club's website has not been reviewed or endorsed by GMAC.

GMAT Courses

Admissions Consulting

How many circles can be drawn on the line segment

How many circles can be drawn on the line segment

Main navigation

GMAT Resources

Partners

MBA Resources