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08 Jul 2026, 09:14
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lets represent Probability of planning P as p, reception R as r and materials M as m
to find P(r)>5/8 or 0.625
Statement-1: not P(m)<0.45 so P(m)> 0.55
P(m)+P(r)+P(p)=1
P(r)+P(p)< 0.45, clearly P(r) can be greater than 0.45 and hence not greater than 0.625.
Sufficient to answer
Statement 2: Not P(r)>0.40 so P(r)<0.6 which is less than 0.625
clearly can be answered and hence sufficienct
Hence, Both statement alone is sufficient
ANS:- D
to find P(r)>5/8 or 0.625
Statement-1: not P(m)<0.45 so P(m)> 0.55
P(m)+P(r)+P(p)=1
P(r)+P(p)< 0.45, clearly P(r) can be greater than 0.45 and hence not greater than 0.625.
Sufficient to answer
Statement 2: Not P(r)>0.40 so P(r)<0.6 which is less than 0.625
clearly can be answered and hence sufficienct
Hence, Both statement alone is sufficient
ANS:- D
quosrecusandae
Joined: 28 Dec 2025
Last visit: 04 Sep 2026
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Location: India
Schools: INSEAD Aug '27 Kellogg MiM '27 HEC MiM '27
GPA: 7.8
08 Jul 2026, 09:17
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Let's say we have 3 groups: Planning (P), Reception (R) and Materials (M), and let's say we have a 100 members on total(makes the calculations easier), we need to find out if reception group has a probability of > 5/8
P(No of people in R / Total number of people) > 5/8 ?
P( R / (P + R + T)) > 62.5
ie, R > 62.5 ?, this is what we are supposed to find
Also, P + R + M = 100 (Assume)
Option (1): Probability of not M P(M^) < 45%
Let's break it down, P(No of people in M / total no of people) < 45/100
P(M^) = (M^/ (M+P+R)) < 45/100
M < 45, since M^ = not M = P + R
P + R < 45
if P + R < 45, the maximum value of R will be 45, we need to check if R > 62.5
Hence, it is sufficient to get the answer, which is 'No'
Option (2): Probability of not R < 40, P(R^) < 40/100
P(R^) = R^ / (P+R+M) < 40/100
P + M / (R+M+P) < 40 /100 since R+P+M = 100, we can cancel the denominators
P + M < 40 -- (A)
since P + R + M = 100,
P + M = 100 - R --(B)
using equations (A) and (B), we get, 100 - R < 40,
60 < R, which is sufficient to answer our question
Keeping both of the above conclusions in mind, we can safely pick (D), both statements are sufficient on their own as the correct answer
P(No of people in R / Total number of people) > 5/8 ?
P( R / (P + R + T)) > 62.5
ie, R > 62.5 ?, this is what we are supposed to find
Also, P + R + M = 100 (Assume)
Option (1): Probability of not M P(M^) < 45%
Let's break it down, P(No of people in M / total no of people) < 45/100
P(M^) = (M^/ (M+P+R)) < 45/100
M < 45, since M^ = not M = P + R
P + R < 45
if P + R < 45, the maximum value of R will be 45, we need to check if R > 62.5
Hence, it is sufficient to get the answer, which is 'No'
Option (2): Probability of not R < 40, P(R^) < 40/100
P(R^) = R^ / (P+R+M) < 40/100
P + M / (R+M+P) < 40 /100 since R+P+M = 100, we can cancel the denominators
P + M < 40 -- (A)
since P + R + M = 100,
P + M = 100 - R --(B)
using equations (A) and (B), we get, 100 - R < 40,
60 < R, which is sufficient to answer our question
Keeping both of the above conclusions in mind, we can safely pick (D), both statements are sufficient on their own as the correct answer
Bunuel
08 Jul 2026, 09:20
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Answer = B
First statement alone is not enough since we want to find if R/total > 5/8 and this only tells us about M/total with no relation given about R and M
Second statement directly tells us that the probab of selected participant being from reception group is less than or equal to 40% which gives us R/total is less than or equal to 2/5 and helps answer our problem statement that R/total is not greater than 5/8
First statement alone is not enough since we want to find if R/total > 5/8 and this only tells us about M/total with no relation given about R and M
Second statement directly tells us that the probab of selected participant being from reception group is less than or equal to 40% which gives us R/total is less than or equal to 2/5 and helps answer our problem statement that R/total is not greater than 5/8
