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

 It is currently 19 Sep 2018, 08:01

### 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

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

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

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 49251
During a certain football season, Tom, Bela, and Amanda each scored at  [#permalink]

### Show Tags

01 Jul 2018, 21:17
00:00

Difficulty:

45% (medium)

Question Stats:

63% (01:32) correct 38% (00:58) 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

_________________
Director
Status: Learning stage
Joined: 01 Oct 2017
Posts: 848
WE: Supply Chain Management (Energy and Utilities)
During a certain football season, Tom, Bela, and Amanda each scored at  [#permalink]

### Show Tags

04 Jul 2018, 22:34
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
Joined: 22 Aug 2013
Posts: 1343
Location: India
Re: During a certain football season, Tom, Bela, and Amanda each scored at  [#permalink]

### Show Tags

04 Jul 2018, 22:52
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.

Director
Joined: 20 Feb 2015
Posts: 728
Concentration: Strategy, General Management
Re: During a certain football season, Tom, Bela, and Amanda each scored at  [#permalink]

### Show Tags

05 Jul 2018, 03:39
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
Re: During a certain football season, Tom, Bela, and Amanda each scored at &nbs [#permalink] 05 Jul 2018, 03:39
Display posts from previous: Sort by

# Events & Promotions

 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®.