GMAT Question of the Day - Daily to your Mailbox; hard ones only

It is currently 15 Nov 2018, 04:40

ISB R1 results on Nov 15:

Join Chat Room for Live Updates


Close

GMAT Club Daily Prep

Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Close

Request Expert Reply

Confirm Cancel
Events & Promotions in November
PrevNext
SuMoTuWeThFrSa
28293031123
45678910
11121314151617
18192021222324
2526272829301
Open Detailed Calendar
  • Free GMAT Strategy Webinar

     November 17, 2018

     November 17, 2018

     07:00 AM PST

     09:00 AM PST

    Nov. 17, 7 AM PST. Aiming to score 760+? Attend this FREE session to learn how to Define your GMAT Strategy, Create your Study Plan and Master the Core Skills to excel on the GMAT.
  • GMATbuster's Weekly GMAT Quant Quiz # 9

     November 17, 2018

     November 17, 2018

     09:00 AM PST

     11:00 AM PST

    Join the Quiz Saturday November 17th, 9 AM PST. The Quiz will last approximately 2 hours. Make sure you are on time or you will be at a disadvantage.

A baseball team’s season consists of playing 162 games.

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Intern
Intern
avatar
G
Joined: 17 Nov 2013
Posts: 38
Reviews Badge
A baseball team’s season consists of playing 162 games.  [#permalink]

Show Tags

New post 28 Oct 2018, 01:49
6
00:00
A
B
C
D
E

Difficulty:

  85% (hard)

Question Stats:

39% (02:16) correct 61% (02:14) wrong based on 61 sessions

HideShow timer Statistics

A baseball team’s season consists of playing 162 games. At a certain point in its season, the team has won 55 percent of the games it has played. The team then wins a certain number of consecutive games so that at the end of the winning streak, the team has won 58 percent of the games it has played. How many wins did the team have at the end of its winning streak?

a. 10
b. 14
c. 42
d. 77
e. 87
Manager
Manager
avatar
S
Joined: 15 Feb 2018
Posts: 79
A baseball team’s season consists of playing 162 games.  [#permalink]

Show Tags

New post 28 Oct 2018, 02:55
1
There has to be a quicker way than this:

Originally
\(\frac{w}{w+l}\)
55/100
So the options are
11/20, 22/40, 33/60, 44/80, 55/100, 66/120, 77/140, 88/160 and it stops there as a 162 game season. (it has to be whole numbers as we are talking about games)
These numbers, modified by each of the answers, has to equal 0.58

a. 10
We can see that the smallest number of wins for 55% is 11. Eliminate

b. 14
11/20 becomes 14/23 = 0.6.... Too high. 22/40 is too many. Eliminate

c. 42
33/60 becomes 42/69 = 0.6..too much. So all of the others that have played less games than that would be too much too.
and all the other numbers are too high. Eliminate

d. 77
77/140 = 0.55
66/120 becomes 77/131=0.587...Pretty good
Anything smaller would be too much.
Keep D as it's pretty close, see if E gives an exact number

e. 87
77/140 becomes 87/150=0.58
Perfect
E

-----------

I initially tried solving it algebraically with
0.03=\(\frac{w+x}{w+l+x}\) - \(\frac{w}{w+l}\) but it didn't make things easy so had to go with the above.
VP
VP
avatar
P
Joined: 07 Dec 2014
Posts: 1111
A baseball team’s season consists of playing 162 games.  [#permalink]

Show Tags

New post 28 Oct 2018, 11:26
1
1
harish1986 wrote:
A baseball team’s season consists of playing 162 games. At a certain point in its season, the team has won 55 percent of the games it has played. The team then wins a certain number of consecutive games so that at the end of the winning streak, the team has won 58 percent of the games it has played. How many wins did the team have at the end of its winning streak?

a. 10
b. 14
c. 42
d. 77
e. 87


let w=games won
p=games played
w=.58p→
w=29p/50→
w/29=p/50
only 87, a multiple of 29, will make w an integer
E
Manager
Manager
avatar
S
Joined: 15 Feb 2018
Posts: 79
Re: A baseball team’s season consists of playing 162 games.  [#permalink]

Show Tags

New post 29 Oct 2018, 17:37
Bunuel, has there been analysis of what makes some quant questions particularly difficult?
gracie shows that this question can be very simple and not abstract, yet, at the time of writing answer distribution is
A 24%
B 18%
C 18%
D 24%
E 18%
Target Test Prep Representative
User avatar
P
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 4170
Location: United States (CA)
Re: A baseball team’s season consists of playing 162 games.  [#permalink]

Show Tags

New post 30 Oct 2018, 18:06
2
harish1986 wrote:
A baseball team’s season consists of playing 162 games. At a certain point in its season, the team has won 55 percent of the games it has played. The team then wins a certain number of consecutive games so that at the end of the winning streak, the team has won 58 percent of the games it has played. How many wins did the team have at the end of its winning streak?

a. 10
b. 14
c. 42
d. 77
e. 87


We can let n = the number of games they have played right before the winning streak and w = the number games they have won during the winning streak. We can create the following equation:

(0.55n + w)/(n + w) = 0.58

0.55n + w = 0.58n + 0.58w

0.42w = 0.03n

42w = 3n

14w = n

From the above, we see that n is a multiple of 14. Furthermore, since 0.55n = 11/20 x n = 11n/20 is a whole number, we see that n is a multiple of 20. A multiple of 20 that is also a multiple of 14 is their LCM, which is 140 (the next common multiple is 280, but that is greater than 182 already). Therefore, n must be 140 and w must be 10. So the number of games they have won at the end of their winning streak is 0.55 x 140 + 10 = 77 + 10 = 87.

Alternate Solution:

We know that the number of games played and the number of games won at the end of the winning streak both need to be whole numbers. If we let n be the total number of games played at the end of the winning streak, then 0.58n, or 58n/100 = 29n/50 must be a whole number. Notice that 29 and 50 have no common factors and 29n/50 is the number of games won at the end of the winning streak; therefore, the number of games won at the end of the winning streak must be a multiple of 29. Among the choices, only 87 = 29 x 3 is a multiple of 29; therefore, it is the correct answer.

Answer: E
_________________

Scott Woodbury-Stewart
Founder and CEO

GMAT Quant Self-Study Course
500+ lessons 3000+ practice problems 800+ HD solutions

GMAT Club Bot
Re: A baseball team’s season consists of playing 162 games. &nbs [#permalink] 30 Oct 2018, 18:06
Display posts from previous: Sort by

A baseball team’s season consists of playing 162 games.

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  


Copyright

GMAT Club MBA Forum Home| About| Terms and Conditions and Privacy Policy| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.