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# In a real estate office that employs n salespeople, f of them are fema

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Re: In a real estate office that employs n salespeople, f of them are fema [#permalink]

Solution

Given:
• In a real estate office that employs n salespeople, f of them are females and x of the females are new employees

To find:
• The value of n

Analysing Statement 1
• As per the information given in statement 1, if an employee were randomly selected from the n employees, the probability of selecting a female would be $$\frac{2}{3}$$
o This statement does not provide us any information about the male employees, and hence about the total number of employees

Hence, statement 1 is not sufficient to answer

Analysing Statement 2
• As per the information given in statement 2, if an employee were randomly selected from the f female employees, the probability of selecting a new employee would be $$\frac{1}{2}$$
o This statement says that half of the female employees are new, and again, does not provide us any information about the male employees, and the total number of employees

Hence, statement 2 is not sufficient to answer

Combining Both Statements
Even if we combine both the statements, we can’t find any information about the total number of employees

Hence, the correct answer is option E.

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Re: In a real estate office that employs n salespeople, f of them are fema [#permalink]
1) f/n=2/3
3f=2n
INSUFFICIENT

2) x/f=1/2
f=2x
INSUFFICIENT

Combining:
3 variable and 2 equations, so N can't be found.

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Re: In a real estate office that employs n salespeople, f of them are fema [#permalink]
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All data given leads to ratios by which we can't determine any value.

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Re: In a real estate office that employs n salespeople, f of them are fema [#permalink]
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Well. I do agree with E if you are searching for exact value. This is the difference between GMAT and Math. In math, when told the variants in symbol, the rest is to express your result with symbols.
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Re: In a real estate office that employs n salespeople, f of them are fema [#permalink]
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Bunuel

Hi

I got confushed a bit.
It means that 'find value of n' must be an exact number, not parameter?

I didn't assume parameter f for female, but the question, itself, gives us information that number of female is 'f'.

So, why can't I answer the question with parameter f?

Thanks!

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Re: In a real estate office that employs n salespeople, f of them are fema [#permalink]
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Bunuel 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.

(DS03999)

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Re: In a real estate office that employs n salespeople, f of them are fema [#permalink]
Bunuel 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.

NEW question from GMAT® Official Guide 2019

(DS03999)

Solution:

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.

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Re: In a real estate office that employs n salespeople, f of them are fema [#permalink]
If the number of female employees are provided in variable f then why the value of n can't be expressed in f. I thought the answer is A.

For example - if the variable f has a numerical value then we know the value of n will be numerical value.
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Re: In a real estate office that employs n salespeople, f of them are fema [#permalink]
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If the number of female employees are provided in variable f then why the value of n can't be expressed in f. I thought the answer is A.

For example - if the variable f has a numerical value then we know the value of n will be numerical value.

I got the same doubt as you do.

The question asks What is the value of n ?.
As my understaning, if value of n depends on value of f, finding value of n is INSUFFICIENT.

value of f can be 1, 5, 100, 26, ... that makes value of n vary.
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Re: In a real estate office that employs n salespeople, f of them are fema [#permalink]
Think of it this way: To solve a ratio problem (many probability problems are also ratio problems), you need both count and ratio information for at least one of the sets OR for the total.

In both situations 1 and 2, you don't have these crucial pieces of information. Forget the complicated math and just keep this one rule for ratio problems in mind.
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Re: In a real estate office that employs n salespeople, f of them are fema [#permalink]
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Re: In a real estate office that employs n salespeople, f of them are fema [#permalink]
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