Last visit was: 19 Jul 2025, 17:49 It is currently 19 Jul 2025, 17:49
Home
GMAT
Messages
Tests
Schools
Events
Rewards
Chat
My Profile
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.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel
Back to Forum
Create Topic
   1   2   3   4 
605-655 Level|   Word Problems|         
User avatar
vjbhagat
User avatar
Joined: 11 Dec 2022
Last visit: 31 Mar 2025
Posts: 38
Own Kudos:
76
 [1]
Given Kudos: 10
GMAT Focus 1: 705 Q90 V84 DI81
GMAT 1: 650 Q49 V29
Products:
My Reviews
GMAT Focus 1: 705 Q90 V84 DI81
GMAT 1: 650 Q49 V29
Posts: 38
Kudos: 76
 [1]
12 Days of Christmas GMAT Competition - Day 5: At a Football Champions 21 Dec 2024, 04:59
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
According to statement (1):-

The number of goals scored by those 5 players can be:- 4, 4, 4, 4, 4 or 4, 4, 4, 3, 5

So we cant be sure if any of them scored at least 5 goals.

According to statement (2):-

Least number of goals scored will be "1". The least goals that 2nd player can score is 2 as each player scores at least one goal and all players score different number of goals.

By this logic, the least score of 5th player will have to be "5".

Hence using Statement (2), we can say that at least one of these player score at least 5 goals.

Hence Statement (2) alone is sufficient.

Hence option B is correct.
User avatar
HelpfulChocolate
User avatar
Joined: 21 Dec 2024
Last visit: 26 Dec 2024
Posts: 26
Own Kudos:
23
 [1]
Given Kudos: 1
GRE 1: Q168 V158
GRE 1: Q168 V158
Posts: 26
Kudos: 23
 [1]
12 Days of Christmas GMAT Competition - Day 5: At a Football Champions 21 Dec 2024, 06:19
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel
12 Days of Christmas 2024 - 2025 Competition with $40,000 of Prizes

At a Football Championship, 5 players from the Spanish team each scored at least one goal. Did any of them score at least 5 goals?

(1) Together, the 5 players scored a total of 20 goals during the tournament.
(2) No two of the 5 players scored the same number of goals.

 


This question was provided by GMAT Club
for the 12 Days of Christmas Competition

Win $40,000 in prizes: Courses, Tests & more

 

5 players -> Atleast one goal each. Did any one of them score at least 5 goals?

(1) a + b + c + d + e = 20

If, 4 + 4 + 4 + 4 + 4 = 20 then No
If, 2 + 2 + 3 + 4 + 9 = 20 then Yes

Since both answers are possible, this statement is not sufficient.

(2) No two of the 5 players scored the same number of goals.
And as per the premise, the minimum number of goals each player has scored is 1.

1, 2, 3, 4, 5 then Yes
2, 3, 4, 5, 6 then Yes
and for any other case as well, it will be Yes.

This statement is sufficient.

[b] is the correct answer.[/b]
User avatar
__Poisonivy__
User avatar
Joined: 24 Feb 2024
Last visit: 08 Apr 2025
Posts: 64
Own Kudos:
56
 [1]
Given Kudos: 2
Posts: 64
Kudos: 56
 [1]
12 Days of Christmas GMAT Competition - Day 5: At a Football Champions 21 Dec 2024, 07:39
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
It's given that at least everyone has scored 1 goal each. So, 1,1,1,1,1.

(1) Total goals=20
Goals: 4,4,4,4,4 is a possible case so as 2,3,5,5,5 and 1,4,4,4,7. So, in all these cases we see that anything is possible- none of them can score at least 5 or some of them can score at least 5.

So, statement 1 is not sufficient.

(2) Everyone scored different goals.
So for them to score minimum so that their goals are different they should score like this- 1,2,3,4,5
1+2+3+4+5= 15. so minimum sum can be 15.
So, at least one of the players definitely scores at least 5, only then the sum can be 20.

So, B is correct- statement 2 is sufficient.
User avatar
Lizaza
User avatar
Joined: 16 Jan 2021
Last visit: 13 Jul 2025
Posts: 169
Own Kudos:
218
 [1]
Given Kudos: 5
GMAT 1: 710 Q47 V40
Products:
Forum Quiz
GMAT 1: 710 Q47 V40
Posts: 169
Kudos: 218
 [1]
12 Days of Christmas GMAT Competition - Day 5: At a Football Champions 21 Dec 2024, 07:52
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
The number of goals scored by each player is an integer \(>=1.\)

(1) Let's try to arrive at 20 without anyone scoring as many as 5. If each scored 4, the total is \(4*5=20\)
So, it's possible that no one scored 5 goals. However, it's as easily possible that someone scored 16 and the others only 1.
Hence, it's insufficient.

(2) However we play around this condition, the minimal number of goals will be: 1/2/3/4/5. Therefore, someone must go at 5 or even above. This is sufficient.

The answer is B.
User avatar
Mardee
User avatar
Joined: 22 Nov 2022
Last visit: 18 Jul 2025
Posts: 134
Own Kudos:
110
 [1]
Given Kudos: 17
Posts: 134
Kudos: 110
 [1]
12 Days of Christmas GMAT Competition - Day 5: At a Football Champions 21 Dec 2024, 08:02
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
(1) Together, the 5 players scored a total of 20 goals during the tournament.

If each player scores fewer than 5 goals, the maximum total
=> 4+4+4+4+4=20.
Thus, it is possible that no player scored at least 5 goals
But if one of them scores atleast 5 goals, then the case of 5+5+4+4+2 = 20 is also valid

Multiple choices possible, so 1 is not sufficient

(2) No two of the 5 players scored the same number of goals.

We know that each score atleast 1 goal, and we also know that no 2 player score the same
Lets take the minimum case where say
a=1, b=2, c=3, d=4, e=5
So we see, minimum 5 goals are possible always

So,
B. Statement (2) ALONE is sufficient, but Statement (1) alone is not sufficient.
User avatar
prashantthawrani
User avatar
Joined: 07 Feb 2023
Last visit: 23 Jun 2025
Posts: 78
Own Kudos:
93
 [1]
Given Kudos: 43
Location: India
Products:
GMAT Club Tests Forum Quiz
Posts: 78
Kudos: 93
 [1]
12 Days of Christmas GMAT Competition - Day 5: At a Football Champions 21 Dec 2024, 08:04
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
We need to determine whether any of the 5 players from the Spanish team scored at least 5 goals.

Statement (1): The 5 players scored a total of 20 goals.
Case -1 for equal nos. of goals: (4,4,4,4,4) : No player scored 5 goals.
Case -2 for unequal nos. of goals: (1,2,3,4,10) OR (1,1,1,8,9) OR etc.: At least one player scored 5 goals.

Hence, due to inconsistent answers, Statement (1) alone is insufficient

Statement (2): No two players scored the same number of goals.

As per given data, Each player has scored at least 1 goal.
Hence (1,2,3,4,5) is a minimum no. of goals meeting above conditions; here one player has scored 5 goals.

For higher no. of goals, more players may have scored >5 goals.


Statement (2) alone is sufficient

The correct answer is B.
User avatar
kalpak8
User avatar
Joined: 25 Jul 2024
Last visit: 14 Jul 2025
Posts: 34
Own Kudos:
40
 [1]
Given Kudos: 112
Location: India
Concentration: Operations, Technology
Schools: IE IESE MiM ESADE MiM "26 INSEAD '26
WE:Project Management (Pharmaceuticals and Biotech)
Products:
My Reviews
Schools: IE IESE MiM ESADE MiM "26 INSEAD '26
Posts: 34
Kudos: 40
 [1]
12 Days of Christmas GMAT Competition - Day 5: At a Football Champions 21 Dec 2024, 08:49
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
1. each player scored 4 goals or one scored 16 goals others scored 1 goal. Not clear (cancel options A, D)
2. so the minimum condition would be 1,2,3,4,5 goals for players which as per the question asked so B is the answer.
Bunuel
12 Days of Christmas 2024 - 2025 Competition with $40,000 of Prizes

At a Football Championship, 5 players from the Spanish team each scored at least one goal. Did any of them score at least 5 goals?

(1) Together, the 5 players scored a total of 20 goals during the tournament.
(2) No two of the 5 players scored the same number of goals.

 


This question was provided by GMAT Club
for the 12 Days of Christmas Competition

Win $40,000 in prizes: Courses, Tests & more

 

User avatar
riyasali
User avatar
Joined: 09 Aug 2024
Last visit: 13 Jul 2025
Posts: 31
Own Kudos:
26
 [1]
Given Kudos: 124
Posts: 31
Kudos: 26
 [1]
12 Days of Christmas GMAT Competition - Day 5: At a Football Champions 21 Dec 2024, 08:59
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Evaluating statement 1 alone:
(1) Together, the 5 players scored a total of 20 goals during the tournament.
Clearly not sufficient

Evaluating statement 2 alone:
(2) No two of the 5 players scored the same number of goals.
If no 2 players scored the same goals and each of them scored atleast 1 then there in one person out of the 5 who scored 5 goals. Sufficient

B is the answer
User avatar
HansikaSachdeva
User avatar
Joined: 17 May 2024
Last visit: 18 Jul 2025
Posts: 69
Own Kudos:
64
Given Kudos: 140
Location: India
Posts: 69
Kudos: 64
12 Days of Christmas GMAT Competition - Day 5: At a Football Champions 21 Dec 2024, 10:17
Kudos
Add Kudos
Bookmarks
Bookmark this Post
The question that needs to be answered is if any of the individual players scored at least 5 goals

Statement 1: Together, the 5 players scored a total of 20 goals during the tournament

Total number of goals = 20
Number of players = 5

Each player could have scored 20/5 = 4 goals,
Or, the distribution could have been 2, 3, 5, 5, 5 goals each

The statement does not provide enough information to ascertain whether any one player scored at least 5 goals

Statement 1 alone is insufficient


Statement 2: No two of the 5 players scored the same number of goals

It is given that each person scored at least 1 goal, and if no two players had the same number of goals, we can assume that the distribution of goals can be

1 goal
2 goals
3 goals
4 goals
5 goals

This implies that at least one player must have scored 5 goals

Statement 2 alone is sufficient

Answer: B
User avatar
prantorboni
User avatar
Joined: 28 Nov 2020
Last visit: 24 Jun 2025
Posts: 151
Own Kudos:
149
Given Kudos: 221
Products:
My Reviews
Posts: 151
Kudos: 149
12 Days of Christmas GMAT Competition - Day 5: At a Football Champions 22 Dec 2024, 03:59
Kudos
Add Kudos
Bookmarks
Bookmark this Post
At a Football Championship, 5 players from the Spanish team each scored at least one goal. Did any of them score at least 5 goals?

(1) Together, the 5 players scored a total of 20 goals during the tournament.
Let's assume that all of them scored 4 goals which equal to total 20 goals. Meaning none of them scored 5 goals. But, if anyone of them scored less than 4 then at least 1 of them would score more than or equal to 5. Certainly, this option is insufficient to answer the question.

(2) No two of the 5 players scored the same number of goals.
Let's assume, the first player score, 1, certainly, other four players will score any number other than 1. Let's assume, other three would score 2,3,4. So, at least there would be 1 player who score 5 or more than that. Sufficient.

Answer: B.
   1   2   3   4 
Moderators:
Bunuel
Math Expert
102627 posts
kingbucky
455 posts