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

Question

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

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

shuvodip04 · Answer

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)

GMATWhizTeam · Answer

Solution:  
 • Tiger beats sharks in 2 out of the first 3 matches.
• Sharks ended up winning at least  95\%  matches
 o Sharks lose at most  5\%  match 
• Now, total matches =  N+3 
 o For the minimum number of matches, we can assume that sharks lost only 2 matches 
• By above inferences
 o  2 ≤ 5\%\ of\ (N+3) 
o  2 ≤\frac{5}{100}*(N+3) 
o  2 ≤ \frac{1}{20}*(N+3) 
o  40 ≤ N+3 
o  40-3 ≤ N 
o  37 ≤ N  
• The minimum possible value of N is 37. 
Hence, the correct answer is  Option B .

Gknight5603 · Answer

total game played among them= N+3

game won by sharks = N+3-2

(because we have to minimize the total no. of games....so assume that all other games were won by sharks...)

given...N+1/N+3 * 100 = 95

N= 37..

Posted from my mobile device

SonamRa · Answer

Initial 3 matches, tiger wins 2 and shark wins 1, so if they play n more matches 
Total matches =n+3
As we have to consider minimum value it is possible when shark losses no further match
So lost match by shark = 2 which is 5% of total matches played
I.e. 2=5%x (X is total matches played n+3)
=40
N=37

Posted from my mobile device

bumpbot · Answer

Automated notice from GMAT Club BumpBot: 

A member just gave Kudos to this thread, showing it’s still useful. I’ve bumped it to the top so more people can benefit. Feel free to add your own questions or solutions.

 This post was generated automatically.

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

Prep Toolkit

Top 5 GMAT Debrief Videos

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards

GMAT Problem Solving (PS) Questions

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

Prep Toolkit

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards