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.
OA E
Source: Official Guide
In a real estate office that employs n salespeople, f of the
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The question asks for the unique value of n and not a relative value. Looking at the statements, we see that the values of probabilities are given, suggesting that we cannot get the unique value of n. Let's solve this questions.BTGmoderatorDC wrote: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.
OA E
Source: Official Guide
Let's take each statement one by one.
(1) If an employee were randomly selected from the n employees, the probability of selecting a female would be 2/3.
=> f = 2n/3. Can't get the unique value of n. Insufficient.
(2) If an employee were randomly selected from the f female employees, the probability of selecting a new employee would be 1/2.
x = f/2. Can't get the unique value of n. Insufficient.
(1) and (2) together
Even after combining both statements, we can't get the unique value of n. Insufficient.
The correct answer: E
Hope this helps!
-Jay
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Solution:BTGmoderatorDC wrote: ↑Sun Sep 01, 2019 6:11 pmIn 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.
OA E
Source: Official Guide
Question Stem Analysis:
We need to determine the value of n, the number of salespeople in a certain real estate office.
Statement One Alone:
From statement one, we see that f/n = 2/3. However, since we don’t know the value of f, we can’t determine the value of n. Statement one alone is not sufficient.
Statement Two Alone:
From statement one, we see that x/f = 1/2. However, since we know neither the value of x nor the value of f, we can’t determine the value of n. Statement two alone is not sufficient.
Statements One and Two Together:
With the two statements, we still can’t determine the value of x or f; thus, we can’t determine the value of n. Both statements together are not sufficient.
Answer: E
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