In a carrom board game competition, m boys and n girls (m > n > 1) of a school participate in which every student has to play exactly one game with every other student. Out of the total games played, it was found that in 221 games one player was a boy and

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Q: 121 (IAS/2009)
In a carrom board game competition, m boys and n girls (m > n > 1) of a school participate in which every student has to play exactly one game with every other student. Out of the total games played, it was found that in 221 games one player was a boy and the other-player was a girl. Consider the following statements :
1. The total number of students that participated in the competition is 30.
2. The number of games in which both players were girls is 78.
Which of the statements given above is/are correct ?
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question_subject: 

Logic/Reasoning

question_exam: 

IAS

stats: 

0,6,1,0,1,6,0

keywords: 

{'carrom board game competition': [0, 0, 1, 0], 'total games': [0, 0, 1, 0], 'competition': [1, 0, 1, 2], 'school participate': [0, 0, 1, 0], 'students': [0, 1, 1, 1], 'players': [0, 1, 4, 2], 'games': [0, 0, 9, 4], 'other student': [0, 0, 1, 0], 'total number': [0, 0, 3, 0], 'game': [0, 0, 4, 1], 'student': [0, 0, 2, 4], 'player': [1, 0, 1, 2], 'girls': [0, 2, 3, 10], 'number': [0, 0, 0, 2]}