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23 Jun 2019, 10:44
Kudos
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C
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Difficulty:
55%
(hard)
Question Stats:
50% (02:51) correct
50%
(03:00)
wrong
based on 8
sessions
History
Date
Time
Result
Not Attempted Yet
In a company of 80 employees, 40% of the employees are in customer care, 50% are in sales, and 30% are in design. If 5 employees are a part of both the sales and design departments, but not in customer care, what is the maximum number of employees who are in both customer care and design, but not sales?
A. 24
B. 28
C. 32
D. 36
E. 40
A. 24
B. 28
C. 32
D. 36
E. 40
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IMO all the options are wrong
Employees in CS= 0.4*80=32
Employees in S= 0.5*80=40
Employees in D= 0.3*80=24
1. Number of employees that are part of both the sales and design departments, but not in customer care= 5
2. Number of employees are a part of both the customer care and design departments, but not in sales= x
3. Number of employees are a part of both the sales and customer care , but not in design=y
4. Number of employees that are part of all 3 departments= z
80=32+40+24-(5+x+y)-2z
80=96-5-x-y-2z
x+y+2z=11
We want to maximize x, hence we need to minimize y and z.
Minimum values y and z can take is 0
Maximum possible value of x=11
Employees in CS= 0.4*80=32
Employees in S= 0.5*80=40
Employees in D= 0.3*80=24
1. Number of employees that are part of both the sales and design departments, but not in customer care= 5
2. Number of employees are a part of both the customer care and design departments, but not in sales= x
3. Number of employees are a part of both the sales and customer care , but not in design=y
4. Number of employees that are part of all 3 departments= z
80=32+40+24-(5+x+y)-2z
80=96-5-x-y-2z
x+y+2z=11
We want to maximize x, hence we need to minimize y and z.
Minimum values y and z can take is 0
Maximum possible value of x=11
Matthi
23 Jun 2019, 11:13
Kudos
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Hi
I think there is some thing wrong with numbers in the answer options .
company of 80 employees,
40% of the employees are in customer care = 80*40/100 =32 employees
, 50% are in sales = 40 employees,
and 30% are in design=80*30/100 = 24employees
In the question it self they gave maximum there are only 24 in design team . so any answer is always less than 24 in my
option which is not there in the option choice
Given in the question that 5 people are both part of sales and design team ,
so maximum left for CC team to join = (32+40_24 -80 )- only in ( employees both in sales and design team = 5)
= 16-5
= 11 employees
(32+40_24 -80 ) gives us the number of employees who in 2 teams ie.,16 are counted twice
I think there is some thing wrong with numbers in the answer options .
company of 80 employees,
40% of the employees are in customer care = 80*40/100 =32 employees
, 50% are in sales = 40 employees,
and 30% are in design=80*30/100 = 24employees
In the question it self they gave maximum there are only 24 in design team . so any answer is always less than 24 in my
option which is not there in the option choice
Given in the question that 5 people are both part of sales and design team ,
so maximum left for CC team to join = (32+40_24 -80 )- only in ( employees both in sales and design team = 5)
= 16-5
= 11 employees
(32+40_24 -80 ) gives us the number of employees who in 2 teams ie.,16 are counted twice
