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

It is currently 19 Sep 2018, 17:47

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

On a certain test, Bill scored 20 more points than John, but half as

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

Hide Tags

Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 49251
On a certain test, Bill scored 20 more points than John, but half as  [#permalink]

Show Tags

New post 02 Nov 2015, 08:50
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

73% (00:54) correct 27% (01:27) wrong based on 73 sessions

HideShow timer Statistics

On a certain test, Bill scored 20 more points than John, but half as many points as Sue. If the sum of the scores of the three students was 180 points, how many points did Bill receive?

A. 30
B. 40
C. 50
D. 80
E. 100

_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | 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

Director
Director
User avatar
G
Joined: 20 Feb 2015
Posts: 728
Concentration: Strategy, General Management
Premium Member CAT Tests
Re: On a certain test, Bill scored 20 more points than John, but half as  [#permalink]

Show Tags

New post 02 Nov 2015, 09:33
say Bill got B marks ,
we then have B + 2B + B-20 =180
4B=200
B=50
Current Student
avatar
Joined: 02 Jun 2015
Posts: 84
Location: Brazil
Concentration: Entrepreneurship, General Management
GPA: 3.3
Re: On a certain test, Bill scored 20 more points than John, but half as  [#permalink]

Show Tags

New post 02 Nov 2015, 09:48
B = J + 20
J = B -20

B = S/2
S = 2B

The sum of the 3 of them
B + J + S = 180
B +B -20 + 2B = 180
4B = 200
B = 50
Verbal Forum Moderator
User avatar
V
Status: Greatness begins beyond your comfort zone
Joined: 08 Dec 2013
Posts: 2113
Location: India
Concentration: General Management, Strategy
Schools: Kelley '20, ISB '19
GPA: 3.2
WE: Information Technology (Consulting)
GMAT ToolKit User Reviews Badge CAT Tests
Re: On a certain test, Bill scored 20 more points than John, but half as  [#permalink]

Show Tags

New post 02 Nov 2015, 09:50
Let the score of Bill = B
the score of John = J
the score of Sue = S

B= J+20
B= S/2

B+J+S=180
=> B+ B-20 + 2B= 180
=> 4B = 200
=> B =50

Answer C
_________________

When everything seems to be going against you, remember that the airplane takes off against the wind, not with it. - Henry Ford
The Moment You Think About Giving Up, Think Of The Reason Why You Held On So Long
+1 Kudos if you find this post helpful

Director
Director
User avatar
G
Joined: 24 Nov 2015
Posts: 544
Location: United States (LA)
Reviews Badge
Re: On a certain test, Bill scored 20 more points than John, but half as  [#permalink]

Show Tags

New post 17 Apr 2016, 13:46
consider john's points as x
so bill's points are x +20
So sue's points are 2x +40
total of all three students is 4x +60, but this total is given as 180
x = 30
so bill's points = 30 +20 = 50
correct answer option C
Manager
Manager
avatar
Joined: 10 Apr 2016
Posts: 55
Concentration: Strategy, Entrepreneurship
GMAT 1: 520 Q29 V30
GPA: 3.01
Re: On a certain test, Bill scored 20 more points than John, but half as  [#permalink]

Show Tags

New post 18 Apr 2016, 01:33
Seeing a question like this should always trigger your algebraic brain cells

J=B-20
B=J+20
B=0.5*S
S=2B

B+J+S=180

Now try using only ONE variable, in our case we will use B.

B+B-20+2B=180
Simplify to get all variables on one side and all numbers on the other side
4B=200
B=50
_________________

Took the Gmat and got a 520 after studying for 3 weeks with a fulltime job. Now taking it again, but with 6 weeks of prep time and a part time job. Studying every day is key, try to do at least 5 exercises a day.

Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 8095
Premium Member
Re: On a certain test, Bill scored 20 more points than John, but half as  [#permalink]

Show Tags

New post 04 Sep 2018, 18:57
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________

GMAT Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources

Re: On a certain test, Bill scored 20 more points than John, but half as &nbs [#permalink] 04 Sep 2018, 18:57
Display posts from previous: Sort by

On a certain test, Bill scored 20 more points than John, but half as

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

Events & Promotions

PREV
NEXT


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®.