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Bunuel
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According to the stock policy of a company, each employee in the techn 14 Apr 2019, 21:58
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E
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15% (low)

Question Stats:

86% (02:42) correct 14% (02:31) wrong based on 109 sessions

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According to the stock policy of a company, each employee in the technical division is given 15 shares of the company and each employee in the recruitment division is given 10 shares. Employees belonging to both communities get 25 shares each. There are 20 employees in the company, and each one belongs to at least one division. The cost of each share is $10. If the technical division has 15 employees and the recruitment division has 10 employees, then what is the total cost of the shares given by the company?

(A) 2,250
(B) 2,650
(C) 3,120
(D) 3,180
(E) 3,250
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E
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According to the stock policy of a company, each employee in the techn 15 Apr 2019, 01:06
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Bunuel
According to the stock policy of a company, each employee in the technical division is given 15 shares of the company and each employee in the recruitment division is given 10 shares. Employees belonging to both communities get 25 shares each. There are 20 employees in the company, and each one belongs to at least one division. The cost of each share is $10. If the technical division has 15 employees and the recruitment division has 10 employees, then what is the total cost of the shares given by the company?

(A) 2,250
(B) 2,650
(C) 3,120
(D) 3,180
(E) 3,250
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total share of technical = 15*15 ; 225
total share of recruitement = 10*10 ; 100
total shares ; 325
and price per share ; 10$
so total price ; 3250
IMO E
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According to the stock policy of a company, each employee in the techn 22 Oct 2021, 22:35
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Archit3110
Bunuel
According to the stock policy of a company, each employee in the technical division is given 15 shares of the company and each employee in the recruitment division is given 10 shares. Employees belonging to both communities get 25 shares each. There are 20 employees in the company, and each one belongs to at least one division. The cost of each share is $10. If the technical division has 15 employees and the recruitment division has 10 employees, then what is the total cost of the shares given by the company?

(A) 2,250
(B) 2,650
(C) 3,120
(D) 3,180
(E) 3,250

total share of technical = 15*15 ; 225
total share of recruitement = 10*10 ; 100
total shares ; 325
and price per share ; 10$
so total price ; 3250
IMO E
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don't clear
It's solution may be
TnR=n(T)+n(R)-n(TuR)
= (15+10)-20
=5
No. of only Employee in Technical Department= 15-5=10
No. of only Employee in Recruitment Department= 10-5=5
No. of Employee in Both department= 5
Given Total Share= (10*15)+(5*10)+(5*25)=325; So total cost= 325*10=3250
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According to the stock policy of a company, each employee in the techn 23 Oct 2021, 00:01
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Total = 20
Technical Division= n(T) = 15
Recruitment Division= n(R) = 10

n(T ∪ R) = n(T) +n(R) - n(T ∩ R)

=> 20 = 15 + 10 - n(T ∩ R)

=> n(T ∩ R) = 25 - 20 = 5

Only Technical = 15 - 5 = 10

=> Shares given: 15 each
=> Total Shares given: 15 * 10 = 150

Only Recruitment = 10 - 5 = 5

=> Shares given: 10 each
=> Total Shares given: 5 * 10 = 50

Both division = 5
=> Shares given: 25 each
=> Total Shares given: 5 * 25 = 125

Total shares = 150 + 50 + 125 = 325

Price of 1 share = $10

Total cost = 325 * 10 = 3,250

Answer E
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According to the stock policy of a company, each employee in the techn 27 Nov 2024, 23:35
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Though it took me a lot of time, but a simpler solution could be to not solve for #employees in both divisions. If you look at the #shares for employees in both, it is the sum of tech and rec shares. So the "both" need to be double counted.

Tech shares = 15 * 15 = 225
Rec shares = 10*10 = 100
Total shares = 325
Total cost = 325 * 10 = 3250
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