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24 Jun 2018, 20:51
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
5%
(low)
Question Stats:
90% (01:27) correct
10%
(01:32)
wrong
based on 2787
sessions
History
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Not Attempted Yet
In a real estate office that employs n salespeople, f of them are females and x of the females are new employees. What is the value of n ?
(1) If an employee were randomly selected from the n employees, the probability of selecting a female would be 2/3.
(2) If an employee were randomly selected from the f female employees, the probability of selecting a new employee would be 1/2.
(DS03999)
(1) If an employee were randomly selected from the n employees, the probability of selecting a female would be 2/3.
(2) If an employee were randomly selected from the f female employees, the probability of selecting a new employee would be 1/2.
(DS03999)
08 Sep 2018, 22:07
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Bunuel
n?
1)\(\frac{f}{n}\)= \(\frac{2}{3}\)
3f=2n
INSUFFICIENT
2) \(\frac{x}{f}\) = \(\frac{1}{2}\)
f=2x
INSUFFICIENT
Combining 1 and 2,
There are 3 variables and only 2 equation. So INSUFFICIENT
24 Jun 2018, 21:58
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Bunuel
As all we're given are variables, we'll pick simple numbers to help make things concrete.
This is an Alternative approach.
(1) Say that f = 10. Then there are 3/2 * 10 = 15 employees. Clearly, if there is a different number of females there will be a different number of employees.
Insufficient.
(2) Say, again, that f = 10. Then x = 10 * 1/2 = 5 are new employees. We have no way to calculate n so this cannot be sufficient.
Insufficient.
Combined:
Combining the statements doesn't help much: if we pick f = 10, then we get the same values as above and if we pick f = 20 we get values twice as large. As there are no additional constraints in the question we cannot determine the value of n.
Insufficient.
(E) is our answer.
Note that a shorter, Logical approach would be to notice that we are asked to give a specific number but not given any numbers to start with. That means we cannot answer.
