Find all School-related info fast with the new School-Specific MBA Forum

It is currently 09 Feb 2016, 09:10
GMAT Club Tests

EXPECTING SOON:

Wharton R2 Interview Invites  |  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.

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

If each of the bowlers in a tournament bowled an equal number of games

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
Expert Post
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 31288
Followers: 5351

Kudos [?]: 62253 [0], given: 9445

If each of the bowlers in a tournament bowled an equal number of games [#permalink] New post 27 Dec 2015, 08:10
Expert's post
2
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

80% (01:33) correct 20% (00:57) wrong based on 18 sessions
If each of the bowlers in a tournament bowled an equal number of games, what is the average (arithmetic mean) score of all the games bowled in the tournament?

(1) 70 percent of the bowlers had an average (arithmetic mean) score of 120, and the other 30 percent had an average score of 140.
(2) Each of the 350 bowlers in the tournament bowled 3 games.
[Reveal] Spoiler: OA

_________________

New to the Math Forum?
Please read this: All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Expert Post
Math Revolution GMAT Instructor
User avatar
Joined: 16 Aug 2015
Posts: 657
GPA: 3.82
Followers: 33

Kudos [?]: 250 [0], given: 0

Top 10 in overall
Re: If each of the bowlers in a tournament bowled an equal number of games [#permalink] New post 28 Dec 2015, 11:37
Expert's post
Forget conventional ways of solving math questions. In DS, Variable approach is the easiest and quickest way to find the answer without actually solving the problem. Remember equal number of variables and independent equations ensures a solution.

If each of the bowlers in a tournament bowled an equal number of games, what is the average (arithmetic mean) score of all the games bowled in the tournament?

(1) 70 percent of the bowlers had an average (arithmetic mean) score of 120, and the other 30 percent had an average score of 140.
(2) Each of the 350 bowlers in the tournament bowled 3 games.

From the original condition, we need to know the total number of bowlers (n) and the total score (s). In order to match the number of variables and the number of equations, we need 2 more equations. Since both 1) and 2) each has 1 equation, there is high chance C is the answer.

(Note: This is a statistics question, one of the key questions. Also, when the condition 1) has % and the condition 2) has a number, it is likely that the condition with % is going to be the answer.)

In a case of the condition 1), since the number of bowlers is n, from (0.7n*120+0.3n*140)/n, we get a unique answer and the condition is sufficient. Therefore, the answer is A. This is a type of question that appears within the score range of 50 and 51.

From con 1) and con 2), if one of the conditions is given by numbers and the other is given by ratio (percent,fraction), then the condition with ratio (percent,fraction) value has higher chance of being the answer.
_________________

MathRevolution: Finish GMAT Quant Section with 10 minutes to spare
The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy.
Find a 20% off coupon code for GMAT Club members.
Unlimited Access to over 120 free video lessons - try it yourself
See our Youtube demo

Expert Post
Manager
Manager
User avatar
Joined: 20 Aug 2015
Posts: 235
Location: India
GMAT 1: 760 Q50 V42
Followers: 5

Kudos [?]: 69 [0], given: 5

Re: If each of the bowlers in a tournament bowled an equal number of games [#permalink] New post 29 Dec 2015, 02:36
Expert's post
Bunuel wrote:
If each of the bowlers in a tournament bowled an equal number of games, what is the average (arithmetic mean) score of all the games bowled in the tournament?

(1) 70 percent of the bowlers had an average (arithmetic mean) score of 120, and the other 30 percent had an average score of 140.
(2) Each of the 350 bowlers in the tournament bowled 3 games.


Given: Each of the bowlers in a tournament bowled an equal number of games
Required: what is the average score of all the games bowled in the tournament

Hence, we need to find the ratio of the total score and the total players.

Statement 1: 70 percent of the bowlers had an average (arithmetic mean) score of 120, and the other 30 percent had an average score of 140
Assume total players to be 100x

Total score = 70x*120 + 30x*140
Average score = 70x*120 + 30x*140 / 100x
We can find the average score.
SUFFICIENT

Statement 2: Each of the 350 bowlers in the tournament bowled 3 games.
This does not tell any thing about the score.
INSUFFICIENT

Option A
_________________

Reach out to us at bondwithus@gmatify.com

Image

Re: If each of the bowlers in a tournament bowled an equal number of games   [#permalink] 29 Dec 2015, 02:36
    Similar topics Author Replies Last post
Similar
Topics:
Experts publish their posts in the topic Ten colored marbles are placed in a bowl. Each of the marbles is one o Bunuel 4 22 Jan 2016, 09:40
2 Experts publish their posts in the topic Bowls X and Y each contained exactly 2 jelly beans, each of boomtangboy 5 08 Apr 2012, 08:44
Two teams, X and Y played against each other in a tournament eybrj2 1 18 Feb 2012, 00:54
1 Each of the numbers w, x, y, and z is equal to either 0 or sondenso 5 19 Jul 2008, 18:18
Bowls X and Y each contained exactly 2 jelly beans, each of jimmylow 4 24 Mar 2008, 03:52
Display posts from previous: Sort by

If each of the bowlers in a tournament bowled an equal number of games

  Question banks Downloads My Bookmarks Reviews Important topics  


cron

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

Powered by phpBB © phpBB Group and phpBB SEO

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®.