What is the total number of executives at Company P

Question

What is the total number of executives at Company P?

(1) The number of male executives is  \frac{3}{5}  the number of female executives. 
(2) There are 4 more female executives than male executives.

Bunuel · Accepted Answer

What is the total number of executives at Company P?

(1) The number of male executives is  \frac{3}{5}  the number of female executives --> m = 3/5*f. Not sufficient.

(2) There are  4  more female executives than male executives --> m = f - 4. Not sufficient.

(1)+(2) We have two distinct linear equations with two unknowns, thus we can solve for m and f and get the total number of executives (m+f). Sufficient.

Answer: C.

dave13 · Answer

Bunuel  but we still dont know the nimber of females, so what that there are 4 more females than man ?? .... but still number of females is not mentioned...also number of males is not mentioned either... how can C be correct answer ?

Bunuel · Answer

The solution you quote explains this:  We have two distinct linear equations with two unknowns .

We have m = 3/5*f and m = f - 4. You should be able to solve this system of equations and get the values of m and f. I'll let you practice and do it yourself.

dave13 · Answer

ok so we have to system equations

m = \frac{3}{5}*f  ---->  f =\frac{5}{3}*m

m = f - 4

m = \frac{5}{3}*m - 4  rearrange

4 = \frac{5}{3}*m - m  multiply by 3 both sides

12 = 5m - 3m

12 = 2m

m = 6

Bunuel  have i solved it correctly ?

Gladiator59 · Answer

Yep  dave13  absolutely correct solution.

However, since this is a DS question we are okay to mark the answer once we ascertain that we have two different liner equations... Saving important time on the test.

I think  Bunuel  was making this point.

Best,
Gladi

akadiyan · Answer

What is the total number of executives at Company P?

(1) The number of male executives is 3/5 the number of female executives. 
This does not give the number of executives in the company. Not sufficient.

(2) There are 4 more female executives than male executives.
This says the difference in number of employees between Male and Female executives. But does not give the exact number of executives - Not sufficient.

Now (1) + (2) = Number of male executives is 3/5 of female , in other words number of male employees is 60% of total number of female employees, i.e. Number of female employees is 40% more than male and that value is 4 from second statement.

if 40% is 4, 100% is 10. Number of female employees is 10 with this we get number of male employees is 6. Total number of employees in company is 16.

Options (1) and (2) together is sufficient.

Ans:   C

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What is the total number of executives at Company P

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What is the total number of executives at Company P

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