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At Legal Services, LLC last year, the average annual salary

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At Legal Services, LLC last year, the average annual salary [#permalink] New post 02 Feb 2013, 00:38
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At Legal Services, LLC last year, the average annual salary for attorneys was $75,000, while the average salary for paralegals was $50,000. The average annual salary for all Legal Services, LLC employees was $45,000.

If the information above is correct, which one of the following conclusions can properly be drawn on the basis of it?
A. There were twice as many attorneys at Legal Services, LLC as there were paralegals last year.
B. There were more paralegals than attorneys at Legal Services, LLC last year.
C. There were two attorneys and three paralegals at Legal Services, LLC last year.
D. There was at least one Legal Services, LLC employee who earned less than the average paralegal earned last year.
E. At least one paralegal made less than $50,000 last year.

Toughest for me , Can anyone explain it
[Reveal] Spoiler: OA

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Re: At Legal Services, LLC last year, the average annual salary [#permalink] New post 02 Feb 2013, 07:16
P1 :- Attorneys average Salary :- 75K
P2 :- paralegals average salary :- 50K

Average Salary of Emp :- 45 K

Assumption :- there is some other group of employees who earn less than 50K, to make the average 45K

only Option D talks about the other group.

For all the other options the average salary of all employees cannot be less than average salary of paralegals.

IMO :- D
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Re: At Legal Services, LLC last year, the average annual salary [#permalink] New post 03 Feb 2013, 04:49
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Average salary for attorneys = $75,000
Average salary for paralegals = $50,000
Average salary for all employees = $45,000

The average salary for all employees is less than the average salary of either attorneys or paralegals. This serves to prove that there is at least one employee who earns less than $45,000 who is not an attorney or a paralegal but is part of the firm. This is because no matter what the number of attorneys or paralegals or their earnings, their average cannot be less than $50,000.

A), B), C), and E) cannot be properly drawn, because they do not lead to an overall average salary of $45,000 by any means. D) can be drawn, as it paraphrases exactly what we concluded above.

D) it is.
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Director
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Joined: 03 Aug 2012
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Re: At Legal Services, LLC last year, the average annual salary [#permalink] New post 03 Feb 2013, 10:28
GyanOne wrote:
Average salary for attorneys = $75,000
Average salary for paralegals = $50,000
Average salary for all employees = $45,000

The average salary for all employees is less than the average salary of either attorneys or paralegals. This serves to prove that there is at least one employee who earns less than $[color=#ed1c24]45,000 who is not an attorney or a paralegal but is part of the firm[/color]. This is because no matter what the number of attorneys or paralegals or their earnings, their average cannot be less than $50,000.

A), B), C), and E) cannot be properly drawn, because they do not lead to an overall average salary of $45,000 by any means. D) can be drawn, as it paraphrases exactly what we concluded above.

D) it is.


Hi Gyanone,

I noted one thing in your explanation marked in green ,however (D) says :
There was at least one Legal Services, LLC employee who earned less than the average paralegal earned last year.

Plz explain !!!

Although the best answer is (D),consider the below equations

Number of Attorneys : x their Average = 75, their sum = 75x
Number of paralegals : y their Average = 50, their sum = 50y
Some other person in firm: 1 , Salary =46

Total average = 45

(75x + 50y +46)/(x+y+1) = 45
75x + 50y +46= 45x + 45y + 45
30x + 5y = -1 ????? A -ve value .

Had it been in (D) as marked in green the person's salary would have been less than firm's average.

Your say?
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Senior Manager
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Re: At Legal Services, LLC last year, the average annual salary [#permalink] New post 22 Jun 2013, 16:24
targetgmatchotu wrote:
At Legal Services, LLC last year, the average annual salary for attorneys was $75,000, while the average salary for paralegals was $50,000. The average annual salary for all Legal Services, LLC employees was $45,000.

If the information above is correct, which one of the following conclusions can properly be drawn on the basis of it?
A. There were twice as many attorneys at Legal Services, LLC as there were paralegals last year.
B. There were more paralegals than attorneys at Legal Services, LLC last year.
C. There were two attorneys and three paralegals at Legal Services, LLC last year.
D. There was at least one Legal Services, LLC employee who earned less than the average paralegal earned last year.
E. At least one paralegal made less than $50,000 last year.

Toughest for me , Can anyone explain it

I just screwed up on this question and assumed that their are only paralegal and attorneys in the legal services. I guess the important thing to notice here or in general must be true type of question : Don't assume.
if you don't make the asumption i made than mathematically some of the statements can or can't be true. But the choice D is the only one which have to be true.
After all if the avg of x employee's salary is 50k than at least their is one employee with 50k salary.
Re: At Legal Services, LLC last year, the average annual salary   [#permalink] 22 Jun 2013, 16:24
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