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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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  75% (hard)

Question Stats:

46% (01:39) correct 54% (01:47) wrong based on 59 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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A team played more than 50 and less than 60 matches in an entire year.  [#permalink]

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New post Updated on: 03 Jun 2018, 09:54
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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 6 in range 50<N<60 = 54 - Suff

Answer (D)
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Originally posted by Hero8888 on 11 May 2018, 11:56.
Last edited by Hero8888 on 03 Jun 2018, 09:54, edited 1 time in total.
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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 03 Jun 2018, 04:45
Hero8888,

in the statement 2, we should check the multiple of 6 between 50 and 60. anyways the number is same ie 54
A team played more than 50 and less than 60 matches in an entire year. &nbs [#permalink] 03 Jun 2018, 04:45
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