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The Tigers beat the Sharks 2 out of the first 3 times they played. The

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The Tigers beat the Sharks 2 out of the first 3 times they played. The  [#permalink]

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New post 18 Mar 2019, 11:02
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  55% (hard)

Question Stats:

52% (02:23) correct 48% (02:22) wrong based on 21 sessions

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The Tigers beat the Sharks 2 out of the first 3 times they played. They then played N more times, and the Sharks ended up winning at least 95% of all the games played. What is the minimum possible value for N?

(A) 35
(B) 37
(C) 39
(D) 41
(E) 43
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Re: The Tigers beat the Sharks 2 out of the first 3 times they played. The  [#permalink]

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New post 18 Mar 2019, 11:38
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Noshad wrote:
The Tigers beat the Sharks 2 out of the first 3 times they played. They then played N more times, and the Sharks ended up winning at least 95% of all the games played. What is the minimum possible value for N?

(A) 35
(B) 37
(C) 39
(D) 41
(E) 43


Currently the winning percent of Sharks is 1/3*100= 33.33 %.Since we have to find the minimum possible value of N for which Shark's winning percentage becomes at least 95% . So sharks has to win all the N matches so that N is minimized.

Hence total matches = N+3. When shark will have winning percent of 95% then that of tigers will be 5%. And they will win only total of 2 matches

So 2 matches correspond to 5% of the total matches.
Therefore total number of matches = 2/5*100 = 40.

So N+3 = 40 => N= 37

Alternatively, you can solve the following equation and find the answer .

2/(N+3) = 5/100

Solving you will get N = 37. Hence B)
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Re: The Tigers beat the Sharks 2 out of the first 3 times they played. The   [#permalink] 18 Mar 2019, 11:38
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