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

It is currently 13 Dec 2018, 23:51

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 December
PrevNext
SuMoTuWeThFrSa
2526272829301
2345678
9101112131415
16171819202122
23242526272829
303112345
Open Detailed Calendar

During a certain football season, Tom, Bela, and Amanda each scored at

  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: 51197
During a certain football season, Tom, Bela, and Amanda each scored at  [#permalink]

Show Tags

New post 01 Jul 2018, 20:17
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

67% (01:55) correct 33% (01:27) wrong based on 24 sessions

HideShow timer Statistics

During a certain football season, Tom, Bela, and Amanda each scored at least one goal, and they scored a total of 16 goals. If Bela scored fewer goals than Tom scored, how many goals did Tom score?


(1) Bela scored fewer than 3 goals during the season.
(2) Amanda scored 12 goals during the season

_________________

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
P
Status: Learning stage
Joined: 01 Oct 2017
Posts: 931
WE: Supply Chain Management (Energy and Utilities)
Premium Member
During a certain football season, Tom, Bela, and Amanda each scored at  [#permalink]

Show Tags

New post 04 Jul 2018, 21:34
Bunuel wrote:
During a certain football season, Tom, Bela, and Amanda each scored at least one goal, and they scored a total of 16 goals. If Bela scored fewer goals than Tom scored, how many goals did Tom score?


(1) Bela scored fewer than 3 goals during the season.
(2) Amanda scored 12 goals during the season


Given, Total goals of the season=16
Or, T+B+A=16 (T,B, and A are the goals scored by Tom, Bela, and Amanda respectively)
Each one scored at least one goal.
Or, \(T\geq1\),\(B\geq1\),\(A\geq1\)
Bela scored fewer goals than Tom scored.
Or, B<T
Question stem:- T=?
Statement-1
B<3.
So, B can have 2 values, i.e., 1 and 2.
When B=1, A & T can have more than one values. Similarly for B=2 too.
Hence, insufficient.

Statement-2
A=12

Now T+B+12=16
Or, T+B=4
Since \(B<T\) & \(T\geq1\),\(B\geq1\)
we have only one combination possible, T=3, and B=1 .

Therefore, sufficient.

Ans. (B)
_________________

Regards,

PKN

Rise above the storm, you will find the sunshine

DS Forum Moderator
avatar
P
Joined: 21 Aug 2013
Posts: 1412
Location: India
Premium Member
Re: During a certain football season, Tom, Bela, and Amanda each scored at  [#permalink]

Show Tags

New post 04 Jul 2018, 21:52
Bunuel wrote:
During a certain football season, Tom, Bela, and Amanda each scored at least one goal, and they scored a total of 16 goals. If Bela scored fewer goals than Tom scored, how many goals did Tom score?


(1) Bela scored fewer than 3 goals during the season.
(2) Amanda scored 12 goals during the season


We are given that T + B + A = 16, and B < T. We have to find T such that each of T, B, A should be at least 1.

(1) B = either 1 or 2. This means T + A = either 14 or 15. This would give multiple values of T where T > B. Not sufficient.

(2) A = 12. This means T + B = 4. Now each of T/B should be at least 1 and T > B.
The only possibility here is if B=1 and T=3. Thus sufficient.

Hence B answer
Director
Director
User avatar
G
Joined: 20 Feb 2015
Posts: 795
Concentration: Strategy, General Management
Premium Member
Re: During a certain football season, Tom, Bela, and Amanda each scored at  [#permalink]

Show Tags

New post 05 Jul 2018, 02:39
Bunuel wrote:
During a certain football season, Tom, Bela, and Amanda each scored at least one goal, and they scored a total of 16 goals. If Bela scored fewer goals than Tom scored, how many goals did Tom score?


(1) Bela scored fewer than 3 goals during the season.
(2) Amanda scored 12 goals during the season



T+B+A=16 goals
B >=1
and so is
B and A
also,
B < T
T= ?

1. B < 3 from question we have B >= 1 , which means
if B=1 ,T is between 2 and 14
if B=2 , T is between 3 and 14
insufficient

2. A =12
if B=1 then T=3
if B = 2 then T=2
but we are given T>B
so ,
T=3
Sufficient
B
GMAT Club Bot
Re: During a certain football season, Tom, Bela, and Amanda each scored at &nbs [#permalink] 05 Jul 2018, 02:39
Display posts from previous: Sort by

During a certain football season, Tom, Bela, and Amanda each scored at

  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®.