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27 Mar 2017, 04:43
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A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
45%
(medium)
Question Stats:
71% (01:58) correct
29%
(03:48)
wrong
based on 7
sessions
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If all 60 members of the junior class joined the Young Democrats, the Chess Club, or the Varsity Club, did more than half of the students join more than 1 club?
(1) 31 students did not join either the Chess Club or the Varsity Club.
(2) 28 students joined the Chess Club and 31 students joined the Young Democrats.
(1) 31 students did not join either the Chess Club or the Varsity Club.
(2) 28 students joined the Chess Club and 31 students joined the Young Democrats.
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27 Mar 2017, 10:43
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Total members = YD + CC + VC = 60
stmt-1:
31 did not join the two clubs CC & VC
we are given that ALL 60 joined the club. ZERO left out. Then it means 29 were those who joined CC & VC.
It does not matter if there was an overlap or not because the question asked is "if there was an overlap of TWO GROUP or ALL THREE or both of such overlap then WAS THE COUNT > 30?"
So we clearly know if 31 went to ONLY one group then NOT MORE THAN 30 went to more than 1 group.
Sufficient - The answer is NO.
Stmt-2:
CC = 28
YD = 31
It is a possibility that VC = 28 (went to CC) or VC = 31 (went to YD) or no overlap i.e. VC = 1.
so we are not sure whether there was an overlap of 31 or 28 or none.
Insufficient.
IMO Answer is A.
stmt-1:
31 did not join the two clubs CC & VC
we are given that ALL 60 joined the club. ZERO left out. Then it means 29 were those who joined CC & VC.
It does not matter if there was an overlap or not because the question asked is "if there was an overlap of TWO GROUP or ALL THREE or both of such overlap then WAS THE COUNT > 30?"
So we clearly know if 31 went to ONLY one group then NOT MORE THAN 30 went to more than 1 group.
Sufficient - The answer is NO.
Stmt-2:
CC = 28
YD = 31
It is a possibility that VC = 28 (went to CC) or VC = 31 (went to YD) or no overlap i.e. VC = 1.
so we are not sure whether there was an overlap of 31 or 28 or none.
Insufficient.
IMO Answer is A.
27 Mar 2017, 20:00
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1 is sufficient.
It would be easier to say 1 is sufficient if you know the probability formula
P(YUCUV) = P(Y) + P(C) + P(V) - P(YNC) - P(PNV) - P(CNV) + P(YNVNV)
P(YNC), P(PNV), P(CNV) & P(YNCNV) - more than half of students did not join more than 1 club.
2 is insufficient. We need more information to answer if more than half of the students join more than 1 club.
Answer: A
It would be easier to say 1 is sufficient if you know the probability formula
P(YUCUV) = P(Y) + P(C) + P(V) - P(YNC) - P(PNV) - P(CNV) + P(YNVNV)
P(YNC), P(PNV), P(CNV) & P(YNCNV) - more than half of students did not join more than 1 club.
2 is insufficient. We need more information to answer if more than half of the students join more than 1 club.
Answer: A
