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24 Jan 2026, 07:45
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Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
65%
(hard)
Question Stats:
62% (02:06) correct
38%
(02:23)
wrong
based on 73
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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.
(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.
26 Jan 2026, 06:20
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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.
Let x be the number of turns in which the player receives 60 points and y be the number of turns in which the player receives 10 points. Thus, total number of turns = x+y, and total number of points = 60x+10y
Now, let's look at each statement individually and then at both of them together (if required):
Statement 1: If the player had received 60 points in one more turn than he did, his total would be 50 points higher.
As per this statement:
60(x+1) + 10(y-1) = 50 + 60x + 10y
Thus, 60x + 60 + 10y - 10 = 50 + 60x + 10y
We get => 50 = 50 (as we can cancel off the remaining terms)
Hence, this statement alone is insufficient.
Now, let's take a look at Statement 2 closely:
Statement 2: If the player had received 60 points in four more turns than he did, his total would be 200 points higher.
As per this statement:
60(x+4) + 10(y-4) = 60x + 10y + 200
60x + 240 + 10y - 40 = 60x + 10y + 200
We get => 200 = 200 (as we can cancel off the remaining terms)
Hence, this statement alone is insufficient as well.
Since both the statements have LHS = RHS and do not provide information that would help us determine the number of points received, the correct answer is Option E - Neither statement alone nor together is sufficient.
Hope this helps!
(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.
Let x be the number of turns in which the player receives 60 points and y be the number of turns in which the player receives 10 points. Thus, total number of turns = x+y, and total number of points = 60x+10y
Now, let's look at each statement individually and then at both of them together (if required):
Statement 1: If the player had received 60 points in one more turn than he did, his total would be 50 points higher.
As per this statement:
60(x+1) + 10(y-1) = 50 + 60x + 10y
Thus, 60x + 60 + 10y - 10 = 50 + 60x + 10y
We get => 50 = 50 (as we can cancel off the remaining terms)
Hence, this statement alone is insufficient.
Now, let's take a look at Statement 2 closely:
Statement 2: If the player had received 60 points in four more turns than he did, his total would be 200 points higher.
As per this statement:
60(x+4) + 10(y-4) = 60x + 10y + 200
60x + 240 + 10y - 40 = 60x + 10y + 200
We get => 200 = 200 (as we can cancel off the remaining terms)
Hence, this statement alone is insufficient as well.
Since both the statements have LHS = RHS and do not provide information that would help us determine the number of points received, the correct answer is Option E - Neither statement alone nor together is sufficient.
Hope this helps!
28 Jan 2026, 07:52
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Ah, this one’s a classic points puzzle where you basically need to figure out how many turns gave 60 points versus 10 points. A neat way to wrap your head around it is to experiment with small scenarios and keep track of totals, just like testing strategies in other systems. For example, sites like https://casinosanalyzer.com/no-deposit-bonuses let you explore games with real rules but without risking anything, so you can see patterns, outcomes, and probabilities in action. Doing this helps you understand the effect of each decision and the difference a single turn can make, which is basically what this problem is asking. You can even apply that same mindset to planning moves or predicting results in the board game, comparing totals turn by turn, and seeing how small changes affect the final score.
