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In an investigation, it was found that 20% of the employees who are vu

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In an investigation, it was found that 20% of the employees who are vu  [#permalink]

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New post 06 Mar 2019, 01:15
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In an investigation, it was found that 20% of the employees who are vulnerable to Mycobacterial infection are less than 17 years of age and 30% of the employees who are not vulnerable to Mycobacterial infection are more than or equal to 17 years of age. If 16% of total employees are more than or equal to 17 years of age and are vulnerable to Mycobacterial infection, then what percentage of the employees, that are 17 years old or more, are not vulnerable to Mycobacterial infection?

A) 16.6%
B) 24%
C) 30%
D) 60%
E) 80%
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Re: In an investigation, it was found that 20% of the employees who are vu  [#permalink]

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New post 06 Mar 2019, 05:07
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Hi there,

I am constantly getting 24%, anyone here that got 60% ?

And where is that question from ?
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Re: In an investigation, it was found that 20% of the employees who are vu  [#permalink]

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New post 07 Mar 2019, 15:51
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20% of the employees who are vulnerable to Mycobacterial infection are less than 17 years of age
30% of the employees who are not vulnerable to Mycobacterial infection are more than or equal to 17 years of age.

If 16% of total employees are more than or equal to 17 years of age and are vulnerable to Mycobacterial infection, then what percentage of the employees, that are 17 years old or more, are not vulnerable to Mycobacterial infection?


16% = (% vulnerable to infection)*(% of total employees more than or equal to 17 years of age)
% vulnerable to infection above refers to those 17 or above = 80%
16% = 80%*(% of total employees more than or equal to 17) ==> 0.16 = 0.80*x
% total employees >=17 is 20% (x = 0.2)

% employees >=17 not vulnerable = 0.2*0.3 = 0.6 ==> 60%
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Re: In an investigation, it was found that 20% of the employees who are vu  [#permalink]

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New post 11 Mar 2019, 09:30
ashszn wrote:
Hi there,

I am constantly getting 24%, anyone here that got 60% ?

And where is that question from ?


I am also getting 24%.

16% of employees are both vulnerable and 17+

which means that 20% of the total employees are vulnerable. (0.16 = 0.8 * V, V = 20%)

Now 30% of Non Vulnerable Group is 17 + (0.3*NV = 0.3*(1 - V) = 0.3*(0.8) = 0.24)

24% of employees are non vulnerable and 17 +
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In an investigation, it was found that 20% of the employees who are vu  [#permalink]

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New post 12 Mar 2019, 03:43
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Hi there,

we didn't get the question right. The question asked for the percentage of >17 that are not vulnerable so you would take 24/40 -> 60%.

Hope that helps.

lgiacomazzi wrote:
ashszn wrote:
Hi there,

I am constantly getting 24%, anyone here that got 60% ?

And where is that question from ?


I am also getting 24%.

16% of employees are both vulnerable and 17+

which means that 20% of the total employees are vulnerable. (0.16 = 0.8 * V, V = 20%)

Now 30% of Non Vulnerable Group is 17 + (0.3*NV = 0.3*(1 - V) = 0.3*(0.8) = 0.24)

24% of employees are non vulnerable and 17 +
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Re: In an investigation, it was found that 20% of the employees who are vu  [#permalink]

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New post 12 Mar 2019, 21:44
yashu612 wrote:
20% of the employees who are vulnerable to Mycobacterial infection are less than 17 years of age
30% of the employees who are not vulnerable to Mycobacterial infection are more than or equal to 17 years of age.

If 16% of total employees are more than or equal to 17 years of age and are vulnerable to Mycobacterial infection, then what percentage of the employees, that are 17 years old or more, are not vulnerable to Mycobacterial infection?


16% = (% vulnerable to infection)*(% of total employees more than or equal to 17 years of age)
% vulnerable to infection above refers to those 17 or above = 80%
16% = 80%*(% of total employees more than or equal to 17) ==> 0.16 = 0.80*x
% total employees >=17 is 20% (x = 0.2)

% employees >=17 not vulnerable = 0.2*0.3 = 0.6 ==> 60%




Hey Yashu........Kindly check this statement
% employees >=17 not vulnerable = 0.2*0.3 = 0.6 ==> 60%[/quote]

in my opinion 0.2*0.3 equals 0.06
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In an investigation, it was found that 20% of the employees who are vu  [#permalink]

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New post 14 Mar 2019, 13:36
mangamma wrote:
In an investigation, it was found that 20% of the employees who are vulnerable to Mycobacterial infection are less than 17 years of age and 30% of the employees who are not vulnerable to Mycobacterial infection are more than or equal to 17 years of age. If 16% of total employees are more than or equal to 17 years of age and are vulnerable to Mycobacterial infection, then what percentage of the employees, that are 17 years old or more, are not vulnerable to Mycobacterial infection?

A) 16.6%
B) 24%
C) 30%
D) 60%
E) 80%



- 20% of employees who are vulnerable are younger than 17: (v|17-) = 20% * v
- 30% of employees who are not vulnerable are older than 17: (n|17+) = 30% * n

From this, we can write the complementary equations:
- 80% of employees who are vulnerable are older than 17: (v|17+) = 80% * v
- 70% of employees who are not vulnerable are younger than 17: (n|17-) = 70% * n

Now, the last piece of information:
- 16% of all employees are older than 17 and vulnerable: (v|17+) = 16% * T

This means that (v|17+) = 80% * v = 16% * T
v = 20% * T (20% of all employees are vulnerable)

This also means that 80% of all employees are not vulnerable (n = 80% * T)


Finally, the question asks for the percentage of employees who are 17 years or older that are not vulnerable. In other words, \(\frac{(n|17+)}{(17+)}\)
The total number of employees 17 years or older is equal to (v|17+) + (n|17+).

We already know that (v|17+) = 16% * T
(n|17+) = 30% * n = 30% * 80% * T = 24% * T


Adding the two together, we can conclude that 40% of all employees are 17 years or older. \(\frac{(n|17+)}{(17+)}\) = 24%*T / 40%*T = 60%


Answer is D.
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Re: In an investigation, it was found that 20% of the employees who are vu  [#permalink]

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New post 15 Mar 2019, 23:33
FTGreco wrote:
mangamma wrote:
In an investigation, it was found that 20% of the employees who are vulnerable to Mycobacterial infection are less than 17 years of age and 30% of the employees who are not vulnerable to Mycobacterial infection are more than or equal to 17 years of age. If 16% of total employees are more than or equal to 17 years of age and are vulnerable to Mycobacterial infection, then what percentage of the employees, that are 17 years old or more, are not vulnerable to Mycobacterial infection?

A) 16.6%
B) 24%
C) 30%
D) 60%
E) 80%



- 20% of employees who are vulnerable are younger than 17: (v|17-) = 20% * v
- 30% of employees who are not vulnerable are older than 17: (n|17+) = 30% * n

From this, we can write the complementary equations:
- 80% of employees who are vulnerable are older than 17: (v|17+) = 80% * v
- 70% of employees who are not vulnerable are younger than 17: (n|17-) = 70% * n

Now, the last piece of information:
- 16% of all employees are older than 17 and vulnerable: (v|17+) = 16% * T

This means that (v|17+) = 80% * v = 16% * T
v = 20% * T (20% of all employees are vulnerable)

This also means that 80% of all employees are not vulnerable (n = 80% * T)


Finally, the question asks for the percentage of employees who are 17 years or older that are not vulnerable. In other words, \(\frac{(n|17+)}{(17+)}\)
The total number of employees 17 years or older is equal to (v|17+) + (n|17+).

We already know that (v|17+) = 16% * T
(n|17+) = 30% * n = 30% * 80% * T = 24% * T


Adding the two together, we can conclude that 40% of all employees are 17 years or older. \(\frac{(n|17+)}{(17+)}\) = 24%*T / 40%*T = 60%


Answer is D.



Hi,

Could you please explain how you got 17+)[/fraction][/m] as 40%.

Regards,

Ritvik
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Re: In an investigation, it was found that 20% of the employees who are vu  [#permalink]

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New post 16 Mar 2019, 20:30
menonrit wrote:
Hi,

Could you please explain how you got 17+)[/fraction][/m] as 40%.

Regards,

Ritvik

In order to find how many of the total amount of employees in the company are 17 years or older (17+), we have to add all subgroups that includes people in this category - in this case, the subgroup of vulnerable people older than 17 (v|17+) and the subgroup of not vulnerable people older than 17 (n|17+).

This simply means that (17+) = (v|17+) + (n|17+) = 16% + 24% = 40%.


If you don't understand any other part of this solution, feel free to ask!
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Re: In an investigation, it was found that 20% of the employees who are vu   [#permalink] 16 Mar 2019, 20:30
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