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09 Jul 2026, 00:57
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my logic is that r needs to be checked whether it is greater than or less than 62.5%.
a. gives us that P and R together have less than 45% overall so r would definitely be less than 62.5 overall.
b. directly gives that not being in reception is more than 40% hence less than 60% to be in the reception group.
both give answer no with their respective information. hence d
a. gives us that P and R together have less than 45% overall so r would definitely be less than 62.5 overall.
b. directly gives that not being in reception is more than 40% hence less than 60% to be in the reception group.
both give answer no with their respective information. hence d
09 Jul 2026, 00:58
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as per question, prob(R) is it more than 5/8? which is >0.62 or 62% ?
statement 1: sufficient because not in material group is 45% means if there are 100 people 45 are part of P+R and 55 is in M.
Which means Prob (P or R) = 45/100 = 9/20. which is a definite NO that prob(R) is not >62%
statement 2: Sufficient because not in R is more than 40% means P+M >40% Then R<60% means participant in R is Prob(R) <60% again definite NO.
Hence option D.
statement 1: sufficient because not in material group is 45% means if there are 100 people 45 are part of P+R and 55 is in M.
Which means Prob (P or R) = 45/100 = 9/20. which is a definite NO that prob(R) is not >62%
statement 2: Sufficient because not in R is more than 40% means P+M >40% Then R<60% means participant in R is Prob(R) <60% again definite NO.
Hence option D.
09 Jul 2026, 01:32
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D. Each statement alone is sufficient
Let R = probability the participant is in reception. The question asks: is R>5/8?
Statement (1): P(not materials)<45%.
Since reception is part of “not materials,” R must be less than 0.45. That’s below 0.625, so the answer is a definite No. Sufficient.
Statement (2): P(not reception)>40%, so R<60%. That’s also below 0.625, so again a definite No. Sufficient.
Each statement alone answers the question so the answer is D.
Let R = probability the participant is in reception. The question asks: is R>5/8?
Statement (1): P(not materials)<45%.
Since reception is part of “not materials,” R must be less than 0.45. That’s below 0.625, so the answer is a definite No. Sufficient.
Statement (2): P(not reception)>40%, so R<60%. That’s also below 0.625, so again a definite No. Sufficient.
Each statement alone answers the question so the answer is D.
Bunuel
09 Jul 2026, 01:47
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I'm not too sure of my solution here but here goes nothing. I picked (D) as both statements are sufficient.
We are asked to prove that whether the probability that the Participant picked is assigned to Reception Group is >5/8.
1) Statement 1: Selected Participants are not in the Materials Group is less than 45%
This statement can be interpreted as most of the members in the group are part of the materials group since the probability that they are not is less than 45%. And so if that is the case, then probability that they are either in P or R together is less than 45% - If there are a total of 100 people, then probability that they are either in P or R is 44 or less.
44% shows that the number of people in Reception Group - R is greater than 45% is not proved / made out. Hence Statement 1 is sufficient.
2) Statement 2: Probability that selected participant is not in Receptions Group is less than 40%
Which means that the probability that the selected participant is in receptions Group is more than 40%. As such 2/5 > 5/. Hence the probability that the selected participant is in reception group is answered as greater than 5/8.
As such, the Statement #2 is also sufficient.
Thus both statements are sufficient and answer is (D).
This is how I have done it. If it is wrong or not correct, I request some clarification kindly.
We are asked to prove that whether the probability that the Participant picked is assigned to Reception Group is >5/8.
1) Statement 1: Selected Participants are not in the Materials Group is less than 45%
This statement can be interpreted as most of the members in the group are part of the materials group since the probability that they are not is less than 45%. And so if that is the case, then probability that they are either in P or R together is less than 45% - If there are a total of 100 people, then probability that they are either in P or R is 44 or less.
44% shows that the number of people in Reception Group - R is greater than 45% is not proved / made out. Hence Statement 1 is sufficient.
2) Statement 2: Probability that selected participant is not in Receptions Group is less than 40%
Which means that the probability that the selected participant is in receptions Group is more than 40%. As such 2/5 > 5/. Hence the probability that the selected participant is in reception group is answered as greater than 5/8.
As such, the Statement #2 is also sufficient.
Thus both statements are sufficient and answer is (D).
This is how I have done it. If it is wrong or not correct, I request some clarification kindly.
