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D
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Difficulty:
95%
(hard)
Question Stats:
58% (02:01) correct
42%
(02:11)
wrong
based on 323
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A community center is organizing a weekend workshop. Each participant is assigned to exactly one of three groups: planning, reception, or materials. If one participant is selected at random from all the participants, is the probability that the selected participant is in the reception group greater than 5/8?
(1) The probability that the selected participant is not in the materials group is less than 45%.
(2) The probability that the selected participant is not in the reception group is greater than 40%.
(1) The probability that the selected participant is not in the materials group is less than 45%.
(2) The probability that the selected participant is not in the reception group is greater than 40%.
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M46-52
08 Jul 2026, 09:00
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GMAT Club Official Solution:
A community center is organizing a weekend workshop. Each participant is assigned to exactly one of three groups: planning, reception, or materials. If one participant is selected at random from all the participants, is the probability that the selected participant is in the reception group greater than 5/8?
We need to determine whether the probability that the selected participant is in the reception group is greater than 5/8. Since 5/8 = 62.5%, the question asks whether the probability that the selected participant is in the reception group is greater than 62.5%:
Is P(R) > 62.5%
(1) The probability that the selected participant is not in the materials group is less than 45%.
This means the probability that the selected participant is in either the planning group or the reception group is less than 45%. Therefore, the probability that the selected participant is in the reception group must also be less than 45%: P(R) < 45%.
Sufficient.
(2) The probability that the selected participant is not in the reception group is greater than 40%.
This means the probability that the selected participant is in the reception group is less than 60%: P(R) < 60%.
Sufficient.
Answer: D.
A community center is organizing a weekend workshop. Each participant is assigned to exactly one of three groups: planning, reception, or materials. If one participant is selected at random from all the participants, is the probability that the selected participant is in the reception group greater than 5/8?
We need to determine whether the probability that the selected participant is in the reception group is greater than 5/8. Since 5/8 = 62.5%, the question asks whether the probability that the selected participant is in the reception group is greater than 62.5%:
Is P(R) > 62.5%
(1) The probability that the selected participant is not in the materials group is less than 45%.
This means the probability that the selected participant is in either the planning group or the reception group is less than 45%. Therefore, the probability that the selected participant is in the reception group must also be less than 45%: P(R) < 45%.
Sufficient.
(2) The probability that the selected participant is not in the reception group is greater than 40%.
This means the probability that the selected participant is in the reception group is less than 60%: P(R) < 60%.
Sufficient.
Answer: D.
General Discussion
08 Jul 2026, 08:17
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Correct answer: D - either is sufficient on it own.
(1) NOT IN THE MATERIALS GROUP IS LESS THAN 45%, which means MATERIAL GROUP IS EQUAL OR MORE THAN 55%, which means RECEPTION GROUP IS DEFINITELY LESS THAN 45%
-> SUFFICIENT!
(2) NOT IN THE RECEPTION GROUP IS GREATER THAN 40%, which means IN THE RECEPTION GROUP IS LESS THAN 60%. The question ask if IN THE RECEPTION GROUP IS MORE THAN 5/8 (62.5%). Less than 60% < more than 62.5%
-> SUFFICIENT!
(1) NOT IN THE MATERIALS GROUP IS LESS THAN 45%, which means MATERIAL GROUP IS EQUAL OR MORE THAN 55%, which means RECEPTION GROUP IS DEFINITELY LESS THAN 45%
-> SUFFICIENT!
(2) NOT IN THE RECEPTION GROUP IS GREATER THAN 40%, which means IN THE RECEPTION GROUP IS LESS THAN 60%. The question ask if IN THE RECEPTION GROUP IS MORE THAN 5/8 (62.5%). Less than 60% < more than 62.5%
-> SUFFICIENT!
08 Jul 2026, 08:21
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i am going with d.
we are asked if reception is greater than 62,5%?
a states that P+R < 45%, then R is definitely less than 45%, no as an answer, suff.
b states that P+M >40% then 100-40 = 60, definitely less than 60 atleast, no as an answer, suff.
we are asked if reception is greater than 62,5%?
a states that P+R < 45%, then R is definitely less than 45%, no as an answer, suff.
b states that P+M >40% then 100-40 = 60, definitely less than 60 atleast, no as an answer, suff.
