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# GMAT Club Olympics 2024 (Day 1): In a company, the average (arithmetic

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Re: GMAT Club Olympics 2024 (Day 1): In a company, the average (arithmetic [#permalink]
Avg All = Avg men = Avg Women;

Avg Men + Avg Women = $88,000 So Avg men =$44,000

We already have the anwser . So, any additional stmt is enough.

So Ans. C
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Re: GMAT Club Olympics 2024 (Day 1): In a company, the average (arithmetic [#permalink]
You may not need to do any calculations for this question. Statement (2) gives us enough information to calculate the average salary of men, while statement (1) doesn't provide any useful information for this calculation. But still, let's put some variables and assign the values to see if our answer changes.

Let M = number of men, W = number of women, Am = average salary of men, Aw = average salary of women and A = average salary of all employees.

We're given that:
A = (Am + Aw) / 2
Am + Aw = $88,000 A =$88,000 / 2 = $44,000 Statement (1): The number of men in the company is greater than the number of women => M > W. This doesn't give us any specific information about the salaries. It's not sufficient. Statement (2): The average salary of the men is equal to the average salary of the women in the company. If Am = Aw, and we know Am + Aw =$88,000, then:
Am + Am = $88,000 2Am =$88,000
Am = $44,000 This statement alone is sufficient to answer the question. Therefore, the correct answer is B, ie, Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient. GMAT Club Legend Joined: 03 Jun 2019 Posts: 5330 Own Kudos [?]: 4281 [1] Given Kudos: 161 Location: India GMAT 1: 690 Q50 V34 WE:Engineering (Transportation) Re: GMAT Club Olympics 2024 (Day 1): In a company, the average (arithmetic [#permalink] 1 Kudos Given: ­In a company, the average (arithmetic mean) salary of all employees equals the average of the average (arithmetic mean) salary of the men and the average (arithmetic mean) salary of the women. Asked: If the sum of the average salaries of the men and the women is$88,000, what is the average salary of the men in the company?

Let the number of men and number of women in the company be m & w respectively.
Let the average salaries of men and average salaries of women be x & y respectively.

The sum of the average salaries of the men and the women is $88,000 x + y = 88000 y = 88000 - x Average salary of all employees = (mx + ny)/(m+n) = (x+y)/2 2(mx+ny) = (m+n)(x+y) = 88000(m+n) mx + n(88000-x) = 44000(m+n) (m - n)x = 44000(m+n) - 88000n = 44000(m-n) x =$44000;(1) The number of men in the company is greater than the number of women.
m > n;
The average salary of the men in the company = x = $44000 SUFFICIENT (2) The average salary of the men is equal to the average salary of the women in the company.­ x = y ; y = 88000 - x = x ; x =$44000
The average salary of the men in the company = x = $44000 SUFFICIENT IMO D ­ Director Joined: 05 Jan 2024 Posts: 541 Own Kudos [?]: 366 [0] Given Kudos: 127 Location: India Concentration: General Management, Strategy Re: GMAT Club Olympics 2024 (Day 1): In a company, the average (arithmetic [#permalink] ­I think B, Given - In a company, the average (arithmetic mean) salary of all employees equals the average of the average (arithmetic mean) salary of the men and the average (arithmetic mean) salary of the women. Assume there are x men and y women present in the company and T as total salary of all employee the average (arithmetic mean) salary of all employees = T / x+y ( T / x+y ) = (average (arithmetic mean) salary of the men + average (arithmetic mean) salary of the women) / 2 the sum of the average salaries of the men and the women is$88,000, what is the average salary of the men in the company?
average (arithmetic mean) salary of the men + average (arithmetic mean) salary of the women = 88000

1st - The number of men in the company is greater than the number of women.
x > y
But we dont have any values so we cant conclude anything. Not sufficient.

2nd - The average salary of the men is equal to the average salary of the women in the company.­
average (arithmetic mean) salary of the men = average (arithmetic mean) salary of the women
and given average (arithmetic mean) salary of the men + average (arithmetic mean) salary of the women = 88000
average salary of the men in the company = 88000 / 2 = 44000
Sufficient.
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Re: GMAT Club Olympics 2024 (Day 1): In a company, the average (arithmetic [#permalink]
Average salary of men: x
Average salary of women:y
x+y= 88000
for option 2, x=y= 44000
Therefore, only option 2 is sufficient

Posted from my mobile device
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Re: GMAT Club Olympics 2024 (Day 1): In a company, the average (arithmetic [#permalink]
­Choice B

Given: $$(average salary of all employees) = (average salary of men + average salary of women)/2$$

(average salary of men + average salary of women) = 88,000

average salary of men = ?

Statement 1: (number of men M) > (number of women W) in the company

insufficient as we don't know either the ratio or the number

Statement 2: (average salary of men) = (average salary of women)

Given that (average salary of men + average salary of women) = 88,000

We can find out the average salary of men.
hence Statement 2 alone is sufficient.

Choice B
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Re: GMAT Club Olympics 2024 (Day 1): In a company, the average (arithmetic [#permalink]
­Statement 1 : Not Sufficient

Statement 2 : Not Sufficient

1 + 2 Sufficient,

Hence Option C
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Re: GMAT Club Olympics 2024 (Day 1): In a company, the average (arithmetic [#permalink]
Bunuel wrote:
­In a company, the average (arithmetic mean) salary of all employees equals the average of the average (arithmetic mean) salary of the men and the average (arithmetic mean) salary of the women. If the sum of the average salaries of the men and the women is $88,000, what is the average salary of the men in the company? (1) The number of men in the company is greater than the number of women. (2) The average salary of the men is equal to the average salary of the women in the company.­ ­  This question was provided by GMAT Club for the GMAT Club Olympics Competition Win over$30,000 in prizes such as Courses, Tests, Private Tutoring, and more

­

­Sum of the average salaries of the men and the women is $88,000 Find - average salary of the men (1) The number of men in the company is greater than the number of women. Doesn't really matter. 88000 = average salary of men + average salary of women (2) The average salary of the men is equal to the average salary of the women in the company.­ average salary of men = average salary of women Therefore, 88000 = 2* average salary of men $$average salary of men = \frac{88000}{2}=44000$$ (2) is sufficient. B is the answer Intern Joined: 19 Nov 2019 Posts: 17 Own Kudos [?]: 16 [0] Given Kudos: 31 Re: GMAT Club Olympics 2024 (Day 1): In a company, the average (arithmetic [#permalink] Statement analysis: ­Let consider Sm= Total salary of Men Sw= Total salary of women m= Total salary of Men w= Total salary of women In question statement, its given sm+sw/ m+w = sm/m + sw/w = 88,000 Asked value of sm/m ? Option Analsysis: 1. given m>w, can we really know exact value of sm/m by simply knowing m>W. So this statement is insufficent. Eliminating to option A and D 2. given sm/m=sw/w , from equation 1, Sm/m+sw/w = 88,000 --> 2Sm/m = 88,000 --> Sm/m = 44,000 , So option 2 is sufficient. Therefore B is correct option Manager Joined: 24 Jan 2024 Posts: 94 Own Kudos [?]: 67 [0] Given Kudos: 141 Location: Israel Re: GMAT Club Olympics 2024 (Day 1): In a company, the average (arithmetic [#permalink] Hello everyone, Good luck and a great competition to everyone. May the green team win This time I am not sure about my explanation but I will try: I think this problem can be solved with rephrasing the information given: We know from the given information that Total Average (of employees) = Total Average(of Men)[Av(M)] and Total Average(of Women)[Av(W)] we know what Av(M) + Av(W) = 88,000 we know that they are equal so they both 44,000 if we know that we know our answer. it doesn't mattar if we have more men or women. we have our answer. Av(M) = 44,000. AC D Intern Joined: 15 Jan 2023 Posts: 5 Own Kudos [?]: 6 [0] Given Kudos: 2 Location: India Concentration: Finance, Strategy Schools: ISB '25 (D) GMAT 1: 600 Q47 V28 Re: GMAT Club Olympics 2024 (Day 1): In a company, the average (arithmetic [#permalink] In this question we are supposed to find the value of avg salary of men. Statement 1 does not give us any relevant information. Statement 2 states that the avgs are same for men and women . we are given the sum of both the Avgs. Thus Statement B is enough Manager Joined: 10 Dec 2023 Posts: 195 Own Kudos [?]: 173 [0] Given Kudos: 42 Location: India GPA: 4 Re: GMAT Club Olympics 2024 (Day 1): In a company, the average (arithmetic [#permalink] From B, we can directly derive the average salary of women as 44,000. Manager Joined: 14 Mar 2023 Posts: 114 Own Kudos [?]: 134 [0] Given Kudos: 4 Re: GMAT Club Olympics 2024 (Day 1): In a company, the average (arithmetic [#permalink] we need to carefully write the equations. Sm and Sw be the sum of salaries of men and women resp. M and W be the number of men and women. we know, 88000 = (Sm/M + Sw/W) Statement 1 only tells us the relation between M and W. No inference can be made about avg salaries of men. Insufficient Statement 2 helps us solve the above equation. It gives us Sm/M = 44000. sufficient B Intern Joined: 03 Feb 2023 Posts: 48 Own Kudos [?]: 12 [0] Given Kudos: 344 Re: GMAT Club Olympics 2024 (Day 1): In a company, the average (arithmetic [#permalink] Bunuel wrote: ­In a company, the average (arithmetic mean) salary of all employees equals the average of the average (arithmetic mean) salary of the men and the average (arithmetic mean) salary of the women. If the sum of the average salaries of the men and the women is$88,000, what is the average salary of the men in the company?

(1) The number of men in the company is greater than the number of women.
(2) The average salary of the men is equal to the average salary of the women in the company.­

Avg(all)= [Avg(men)+Avg(women)]/2
Sum of average salaries of men and women is $88000. Therefore, Avg(all)=$44000
Check statement 1:
no. of men>no. of women.
Consider the case that salary of each men and women is $44000. Here, even if no. of men>no. of women, the average will remain same irrespective of the numbers. i,e. 1 is not sufficient. Hence, A and D rejected. Can check with few example: 1. Consider 5 people 3 men and 2 women with salary average salary$44000. the average in both cases will remain same.
2. Consider 5 people 3 men and 2 women with avg. salary $46000 and$42000 resp. and vice versa.

Statement 2: no. of men = no. of women, this works then A(men)= A(all)= $44000. Hence B. Intern Joined: 27 Oct 2023 Posts: 18 Own Kudos [?]: 12 [1] Given Kudos: 6 Re: GMAT Club Olympics 2024 (Day 1): In a company, the average (arithmetic [#permalink] 1 Kudos ­From the info available, we can conclude that either the avg of men = avg of women, or number of men = number of women. Therefore from statement 1 and 2 individually, we get that avg is equal. So answer is D. Manager Joined: 16 May 2024 Posts: 82 Own Kudos [?]: 68 [0] Given Kudos: 9 Re: GMAT Club Olympics 2024 (Day 1): In a company, the average (arithmetic [#permalink] Question stem asks us to find what is the value of average salary of men. We are given the following information: Assuming $$A_w$$ = Average salary of women $$A_m$$ = Average salary of man $$A_t$$ = Average salary of employees $$A_t = \frac{A_m + A_w }{ 2}$$ $$A_m + A_w = 88000 ­$$ We need to find $$A_m$$ Statement - 1 ­Number of men > Number of women. But it doesn't provide us information regarding $$A_m$$ or $$A_w$$. So, not sufficient Statement - 2 $$A_m = A_w$$ Then, $$A_m + A_m = 88000$$ $$2A_m = 88000$$ $$A_m = 44000$$ Statement-2 is sufficient. So, B is the answer­ Manager Joined: 11 May 2023 Posts: 90 Own Kudos [?]: 115 [0] Given Kudos: 47 Location: India Concentration: General Management, Strategy GMAT Focus 1: 675 Q88 V81 DI82 GPA: 76% WE:Engineering (Non-Profit and Government) Re: GMAT Club Olympics 2024 (Day 1): In a company, the average (arithmetic [#permalink] Bunuel wrote: ­In a company, the average (arithmetic mean) salary of all employees equals the average of the average (arithmetic mean) salary of the men and the average (arithmetic mean) salary of the women. If the sum of the average salaries of the men and the women is$88,000, what is the average salary of the men in the company?

(1) The number of men in the company is greater than the number of women.
(2) The average salary of the men is equal to the average salary of the women in the company.­

A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.
B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.
C. BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question asked.
E. Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.

­
 This question was provided by GMAT Club for the GMAT Club Olympics Competition Win over \$30,000 in prizes such as Courses, Tests, Private Tutoring, and more

­

Let A = ­average (arithmetic mean) salary of the men and B= the average (arithmetic mean) salary of the women
Given, A + B = 88,000

S1:- Number of men and women is irrelevant here as we have to find the average salary of men and all other data is in the form of average.
Not sufficient.

S2:- Putting A=B, we get the solution.
Sufficient.

B is correct choice.
Re: GMAT Club Olympics 2024 (Day 1): In a company, the average (arithmetic [#permalink]
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