Men-women hired by a company

[Makumajon]

A company hires 80% of men who apply to work in department A, and 30% of the men who apply to work in department B. The company also hires 70% of the women who apply for department A, and 20% of the women who apply for department B. If the same total number of men and women apply each year, which of the following must be true?

 

I: More men than women are hired.

II: More than 50% of men who apply are hired.

III: Less than 60% of women who apply are hired.

 

• I only must be true
  
• I and II only must be true
  
• I and III only must be true
  
• I, II and III must all be true
  
• None of I, II, and III must be true

[gettomanish]

Ans should be B - I and II only must be true

I follows from the statement that same total number of men and women apply each year and considering the % of the people hired.

II follows from the total hiring of men as 80% for Dept A and 30% for Dept B, which cumulatively turns out more than 50 %

 

III will not be true since cumulative for Women is lesser than 50%

 

Whats the OA?

[Queen09]

If the same total number of men and women apply each year

 

this means

total number of men = total number of women ??

 

or

total number of men + total number of women in Year X = total number of men + total number of women in Year Y ??

I think latter will add no meaning to the question.

[Makumajon]

First one. :)

[Queen09]

IMO None of I, II, and III must be true .

 

Take

For Dpt A: Men = 100, Women=1000

Hired : Men =80, Women = 700

 

For Dpt B: Men = 1000, Women=100

Hired : Men =300, Women = 20

 

Check for each..

None of the options must hold true.

[Makumajon]

You are great, Queen.

[ranjeet_1975]

Let men applied in dept.A be x

Let men applied in dept.B be y

 

Let women applied in dept.A be p

Let women applied in dept.B be q

 

Hired Employees are x*80/100, y*30/100, p*70/100, q*20/100

 

How can be get answers?

 

None of I, II, and III must be true should be the answer

[gettomanish]

The statement in the end of the question says, "If the same total number of men and women apply each year". I understand with this - If x is the total number of men applying for a particular year, then x again is the no. of women applying for same year.

Considering this the options I and II will follow.

 

OA Please?

[Queen09]

The statement in the end of the question says, "If the same total number of men and women apply each year". I understand with this - If x is the total number of men applying for a particular year, then x again is the no. of women applying for same year.

Considering this the options I and II will follow.

 

OA Please?

 

What about number of men and women applying for Dept A & B. That can be diffrerent, isn't it?

You got the catch?

[gettomanish]

Thanks for the details. But am still not able to convince myself due to the reason: "When the work Total number of Men and Women is same" doesnt this mean that total for for both the departments?

 

If OA doesnt match my understanding, I think there are lot more things that I need to improve upon :-)