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12 Jul 2025, 04:42
Kudos
Bookmarks
Bunuel
Total employees = 36
Project Alpha + Project Beta – Both + Neither = Total
23+18-x+y=36
x-y = 5 .... x=? , y=?
1. Five employees are not assigned to either project = y=5
X=10. -Sufficient
2. Exactly 21 employees are assigned to only one of the two projects
21= Project Alpha + Project Beta – 2*Both
21= 23+18-2*x
2x=20
X=10 Sufficient.
Both sufficient alone – D is the answer.
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12 Jul 2025, 05:21
Kudos
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Company with 36 employees, 23 are assigned to Project Alpha, and 18 are assigned to Project Beta
Let x be the number of employees assigned to both Alpha and Beta
=> Total number of employees assigned to atleast one of the projects = 23 + 18 - x = 41 -x
Given statements,
(1) Five employees are not assigned to either project.
We know that total number of employees = 36
=> Number of employees assigned to atleast one of the project = 36 - 5 = 31
We also know that, employees assigned to atleast one of the project = 41 -x
=> 41 - x = 31
=> x = 10
Statement (1) is sufficient
(2) Exactly 21 employees are assigned to only one of the two projects.
Given the above statement, lets say that,
Employees assigned to only Alpha = 23−x
Employees assigned to only Beta = 18−x
=> 23 - x + 18 - x = 21
=> x = 10
Statement(2) is sufficient
=> D. Each statement alone is sufficient.
Let x be the number of employees assigned to both Alpha and Beta
=> Total number of employees assigned to atleast one of the projects = 23 + 18 - x = 41 -x
Given statements,
(1) Five employees are not assigned to either project.
We know that total number of employees = 36
=> Number of employees assigned to atleast one of the project = 36 - 5 = 31
We also know that, employees assigned to atleast one of the project = 41 -x
=> 41 - x = 31
=> x = 10
Statement (1) is sufficient
(2) Exactly 21 employees are assigned to only one of the two projects.
Given the above statement, lets say that,
Employees assigned to only Alpha = 23−x
Employees assigned to only Beta = 18−x
=> 23 - x + 18 - x = 21
=> x = 10
Statement(2) is sufficient
=> D. Each statement alone is sufficient.
12 Jul 2025, 05:39
Kudos
Bookmarks
Total= 36= 23+18-both+none
S1 Gives us the missing link meaning 36= 23+18-both+5= both 10 thus suffcient
S2 only gives tells us 23-21=2 members of project Alpha are also in Beta but no information about how many of those in Beta are also in Alpha thus insufficient
ANS A
S1 Gives us the missing link meaning 36= 23+18-both+5= both 10 thus suffcient
S2 only gives tells us 23-21=2 members of project Alpha are also in Beta but no information about how many of those in Beta are also in Alpha thus insufficient
ANS A
Bunuel
