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A team played more than 50 and less than 60 matches in an entire year.

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A team played more than 50 and less than 60 matches in an entire year. [#permalink]

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New post 11 May 2018, 01:52
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  45% (medium)

Question Stats:

53% (02:01) correct 47% (01:21) wrong based on 14 sessions

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A team played more than 50 and less than 60 matches in an entire year. Each match ended in either a win or a loss for this team. Did this team play more than 55 matches in that year?

(1) The team won 2/3 of the first 1/3 of its matches played during the year.

(2) Out of its latter half matches played during the year, the team lost exactly 1/3 matches.
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Re: A team played more than 50 and less than 60 matches in an entire year. [#permalink]

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New post 11 May 2018, 11:56
Let N - number of total games, so 50<N<60. We are asked N>55?

(1) The team won 2/3 of the first 1/3 of its matches played during the year.
2/3*1/3*N = 2N/9. The only number is devided by 9 in range 50<N<60 = 54 - Suff

(2) Out of its latter half matches played during the year, the team lost exactly 1/3 matches

1/2*1/3N = 1/6 N. The only number is devided by 9 in range 50<N<60 = 54 - Suff

Answer (D)
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Re: A team played more than 50 and less than 60 matches in an entire year.   [#permalink] 11 May 2018, 11:56
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A team played more than 50 and less than 60 matches in an entire year.

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