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GRE Prep Club Team Member
Joined: 20 Feb 2017
Posts: 2506
Given Kudos: 1055
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A soccer competition consisted of two rounds. In each round, the 20
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04 Feb 2021, 08:32
04 Feb 2021, 08:32
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Question Stats:
50% (02:51) correct
50% (02:56) wrong based on 4 sessions
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A soccer competition consisted of two rounds. In each round, the 20 teams competing were divided randomly into 10 pairs, and each pair played a single game. None of the games resulted in a tie, and of the teams that lost in the first round, 7 also lost in the second round. How many teams won both of their games?
(A) 3
(B) 4
(C) 5
(D) 6
(E) 7
(A) 3
(B) 4
(C) 5
(D) 6
(E) 7
A soccer competition consisted of two rounds. In each round, the 20
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04 Feb 2021, 11:43
04 Feb 2021, 11:43
20 teams, 10 couples
In the first round 10 win and 10 lose since we have no tie
Round n°2
The 10 teams that lose are composed of : 7 teams that had already lost + 3 teams that won in the first round
The 10 teams that win are composed of : 7 teams that won the first round + 3 teams that lost the first round
Since 7 must lose both matches, 3 out of 10 in the second round must be new losers.
So we know that 7 must have won both matches
In the first round 10 win and 10 lose since we have no tie
Round n°2
The 10 teams that lose are composed of : 7 teams that had already lost + 3 teams that won in the first round
The 10 teams that win are composed of : 7 teams that won the first round + 3 teams that lost the first round
Since 7 must lose both matches, 3 out of 10 in the second round must be new losers.
So we know that 7 must have won both matches
A soccer competition consisted of two rounds. In each round, the 20
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04 Feb 2021, 23:41
04 Feb 2021, 23:41
1
Assume Round 1 as L1 and W1 and Round 2 as L2 and W2 for Lose and Win respectively.
L1 W1 Total
L2 7 3 10
W2 3 7 10
Total 10 10
L1 and L2 = 7(given)
and Total L1, W1, L2, W2 will be 10 each, since there are no ties, and 10 teams either lose or win in each round.
So W1 and W2 is 7(answer)
L1 W1 Total
L2 7 3 10
W2 3 7 10
Total 10 10
L1 and L2 = 7(given)
and Total L1, W1, L2, W2 will be 10 each, since there are no ties, and 10 teams either lose or win in each round.
So W1 and W2 is 7(answer)
