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The rules of a certain board game specify that for each turn, a player

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The rules of a certain board game specify that for each turn, a player  [#permalink]

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New post 24 Dec 2017, 00:28
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The rules of a certain board game specify that for each turn, a player will receive either 60 points or 10 points. If a player takes 20 turns, how many points did he receive?

(1) If the player had received 60 points in one more turn than he did, his total would be 50 points higher.
(2) If the player had received 60 points in four more turns than he did, his total would be 200 points higher.

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The rules of a certain board game specify that for each turn, a player  [#permalink]

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New post 24 Dec 2017, 10:18
Bunuel wrote:
The rules of a certain board game specify that for each turn, a player will receive either 60 points or 10 points. If a player takes 20 turns, how many points did he receive?

(1) If the player had received 60 points in one more turn than he did, his total would be 50 points higher.
(2) If the player had received 60 points in four more turns than he did, his total would be 200 points higher.


This is a very wordy problem so we'll break it down first to see what it's about.
This is a Logical approach.

The game has 20 turns and on each the player receives 10 or 60 points.
Therefore the total score of the player is somewhere between 200 to 1200.
To find the exact score we need to know how many 10s and how many 60s the player received.
As the player must receive either 10 or 60 points per turn, then 'receiving 60 points in one more turn than he did' means getting a 60 and not a 10 on some turn.
Every times this happens the player loses 10 points and gains 60 so in total he gains 50 points.
Therefore (1) tells us only that the player had at least one turn with a '10' score.
Insufficient.
Similarly (2) tells us only that the player had at least 4 turns with a '10' score.
Insufficient.
Combined, all we know is that the player had at least 4 turns with a '10' score.
Still insufficient.

(E) is our answer.

**This is a very odd question. Usually (1) and (2) aren't overlapping and insufficient. Is the question correct?
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Re: The rules of a certain board game specify that for each turn, a player  [#permalink]

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New post 24 Dec 2017, 15:25
Bunuel wrote:
The rules of a certain board game specify that for each turn, a player will receive either 60 points or 10 points. If a player takes 20 turns, how many points did he receive?

(1) If the player had received 60 points in one more turn than he did, his total would be 50 points higher.
(2) If the player had received 60 points in four more turns than he did, his total would be 200 points higher.


So the player either receives 10 or 60 points for every turn (not 0 or anything else).

(1) If the player had received 60 points in one more turn than he did, his total would be 50 points higher. This is only saying that if he got 60 points instead of 10, he would get 50+, but this says nothing about the total or each turn; insufficient.

(2) If the player had received 60 points in four more turns than he did, his total would be 200 points higher. This is the same as the (1) statement, but instead if he got 60 * 4 points instead of 40 points for 4 turns, then his total would be 200+, again, this tells nothing about the turns or the total points; insufficient.

(1) & (2). Both informations says nothing of the total or the points per turn; insufficient.

(E) is the answer.
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Re: The rules of a certain board game specify that for each turn, a player &nbs [#permalink] 24 Dec 2017, 15:25
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