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The figure above shows a circular dartboard at which players throw ...
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29 Jun 2024, 13:33
29 Jun 2024, 13:33
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Question Stats:
50% (03:05) correct
50% (01:45) wrong based on 4 sessions
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The figure above shows a circular dartboard at which players throw darts. A player earns 3 points each time a dart hits the shaded region and p points each time a dart hits the unshaded circular region. If a player earns a total of 47 points for a number of darts that hit the dartboard, which of the following could be the value of p?
Indicate all such values.
A. 11
B. 12
C. 13
The figure above shows a circular dartboard at which players throw ...
[#permalink]
29 Jun 2024, 15:18
29 Jun 2024, 15:18
Expert Reply
Aside the way the question looks like, it is a question about remainder
Work backward and see what happens.
47-13=34-13=21
3 points in the shaded region \(\times 7\) =21. A is consistent
11+11=22+11=33+11=44 + one 3 points in the shaded region and you have 47. C is also consistent
47-12=35-12=23-12=11-12=-1 you have a remainder of 1 so B is not possible
A and C are the correct choices
Work backward and see what happens.
47-13=34-13=21
3 points in the shaded region \(\times 7\) =21. A is consistent
11+11=22+11=33+11=44 + one 3 points in the shaded region and you have 47. C is also consistent
47-12=35-12=23-12=11-12=-1 you have a remainder of 1 so B is not possible
A and C are the correct choices
gmatclubot
The figure above shows a circular dartboard at which players throw ... [#permalink]
29 Jun 2024, 15:18
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