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# There are n new students in a class. Among any three of them, there ex

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Math Expert
Joined: 02 Sep 2009
Posts: 62619
There are n new students in a class. Among any three of them, there ex  [#permalink]

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01 Nov 2019, 04:42
33
00:00

Difficulty:

95% (hard)

Question Stats:

28% (01:56) correct 72% (02:07) wrong based on 116 sessions

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There are n new students in a class. Among any three of them, there exist two who know each other and among any four of them, there exist two who do not know each other. Find the greatest possible value of n.

A. 7
B. 8
C. 9
D. 10
E. 11

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_________________
GMAT Club Legend
Joined: 18 Aug 2017
Posts: 6025
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
Re: There are n new students in a class. Among any three of them, there ex  [#permalink]

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01 Nov 2019, 07:13
giving a try

Among any three of them, there exist two who know each other ; 3 and among any four of them, there exist two who do not know each other
3c2*2+2c1 = 8
IMO B

Bunuel wrote:
There are n new students in a class. Among any three of them, there exist two who know each other and among any four of them, there exist two who do not know each other. Find the greatest possible value of n.

A. 7
B. 8
C. 9
D. 10
E. 11

Are You Up For the Challenge: 700 Level Questions
CEO
Joined: 03 Jun 2019
Posts: 2503
Location: India
GMAT 1: 690 Q50 V34
WE: Engineering (Transportation)
Re: There are n new students in a class. Among any three of them, there ex  [#permalink]

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28 Mar 2020, 02:00
Hi Archit3110

Please provide similar questions and methods to solve them.

Archit3110 wrote:
giving a try

Among any three of them, there exist two who know each other ; 3 and among any four of them, there exist two who do not know each other
3c2*2+2c1 = 8
IMO B

Bunuel wrote:
There are n new students in a class. Among any three of them, there exist two who know each other and among any four of them, there exist two who do not know each other. Find the greatest possible value of n.

A. 7
B. 8
C. 9
D. 10
E. 11

Are You Up For the Challenge: 700 Level Questions
CEO
Joined: 03 Jun 2019
Posts: 2503
Location: India
GMAT 1: 690 Q50 V34
WE: Engineering (Transportation)
Re: There are n new students in a class. Among any three of them, there ex  [#permalink]

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28 Mar 2020, 02:08
Bunuel wrote:
There are n new students in a class. Among any three of them, there exist two who know each other and among any four of them, there exist two who do not know each other. Find the greatest possible value of n.

A. 7
B. 8
C. 9
D. 10
E. 11

Are You Up For the Challenge: 700 Level Questions

Hi Bunuel
Please provide OE for the above question.
Re: There are n new students in a class. Among any three of them, there ex   [#permalink] 28 Mar 2020, 02:08
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