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20 Dec 2024, 10:43
Kudos
Bookmarks
(I) The total score is 20, but after giving each player 1 goal, the remaining total is 15. A score distribution like 1,1,1,1,11 shows one player scoring at least 5, but 3,3,3,3,3 doesn't
Not sufficient
(II) Without the total, we can't determine anything
Not sufficient
Both together
For the remaining total of 15, a distribution like 0,1,2,3,4 has one player scoring at least 5, while 1,2,3,4,5 has two players
Sufficient
Answer C
Not sufficient
(II) Without the total, we can't determine anything
Not sufficient
Both together
For the remaining total of 15, a distribution like 0,1,2,3,4 has one player scoring at least 5, while 1,2,3,4,5 has two players
Sufficient
Answer C
Bunuel
20 Dec 2024, 10:54
Kudos
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Statement 1: Total goals = 20. If no one scored ≥ 5, max total is 4 × 5 = 20, so it's possible, but not certain.
Insufficient.
Statement 2: No two players have the same score. Unique scores alone don’t confirm anyone scored ≥ 5.
Insufficient.
Together: Total = 20, unique scores force at least one player to score ≥ 5 (e.g., 1, 2, 3, 4, 10).
Sufficient.
Answer: C
Insufficient.
Statement 2: No two players have the same score. Unique scores alone don’t confirm anyone scored ≥ 5.
Insufficient.
Together: Total = 20, unique scores force at least one player to score ≥ 5 (e.g., 1, 2, 3, 4, 10).
Sufficient.
Answer: C
20 Dec 2024, 11:02
Kudos
Bookmarks
The stem tells us that;
Then it asks us;
Let's look at the statements;
(1) Together, the 5 players scored a total of 20 goals during the tournament.
If this is the case, then either each player could have scored 4 goals each i.e (4+4+4+4+4=20),
or,
one player could have scored 16 goals and the remaining players scored 1 goal each.
Since this statement gives us both yes/no as an answer
Statement 1 is not sufficient
(Eliminate A and D)
Let's look at statement 2;
(2) No two of the 5 players scored the same number of goals.
If this is the case, then since we don't have any further information, we cannot answer our question.
Statement 2 is not sufficient.
(Eliminate B)
Combining statements 1 and 2;
Since, No two of the 5 players scored the same number of goals and together, the 5 players scored a total of 20 goals during the tournament,
Let's try checking the least number of goals each player can make i.e.(1+2+3+4+10=20)
So definitely at least one player will have to score at least 5 goals.
Sufficient
Answer is C
- 5 players from the Spanish team each scored at least one goal
Then it asks us;
- Did any of them score at least 5 goals?
Let's look at the statements;
(1) Together, the 5 players scored a total of 20 goals during the tournament.
If this is the case, then either each player could have scored 4 goals each i.e (4+4+4+4+4=20),
or,
one player could have scored 16 goals and the remaining players scored 1 goal each.
Since this statement gives us both yes/no as an answer
Statement 1 is not sufficient
(Eliminate A and D)
Let's look at statement 2;
(2) No two of the 5 players scored the same number of goals.
If this is the case, then since we don't have any further information, we cannot answer our question.
Statement 2 is not sufficient.
(Eliminate B)
Combining statements 1 and 2;
Since, No two of the 5 players scored the same number of goals and together, the 5 players scored a total of 20 goals during the tournament,
Let's try checking the least number of goals each player can make i.e.(1+2+3+4+10=20)
So definitely at least one player will have to score at least 5 goals.
Sufficient
Answer is C
