Oct 22 08:00 AM PDT  09:00 AM PDT Join to learn strategies for tackling the longest, wordiest examples of Counting, Sets, & Series GMAT questions Oct 22 09:00 AM PDT  10:00 AM PDT Watch & learn the Do's and Don’ts for your upcoming interview Oct 22 08:00 PM PDT  09:00 PM PDT On Demand for $79. For a score of 4951 (from current actual score of 40+) AllInOne Standard & 700+ Level Questions (150 questions) Oct 23 08:00 AM PDT  09:00 AM PDT Join an exclusive interview with the people behind the test. If you're taking the GMAT, this is a webinar you cannot afford to miss! Oct 23 12:00 PM EDT  01:00 PM EDT Are you curious about life at Tuck? Join current secondyear students as they share an insiderview of life as a Tuckie. Oct 26 07:00 AM PDT  09:00 AM PDT Want to score 90 percentile or higher on GMAT CR? Attend this free webinar to learn how to prethink assumptions and solve the most challenging questions in less than 2 minutes. Oct 27 07:00 AM EDT  09:00 AM PDT Exclusive offer! Get 400+ Practice Questions, 25 Video lessons and 6+ Webinars for FREE.
Author 
Message 
TAGS:

Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 58429

Re: In a certain year, the difference between Mary's and Jim's annual sala
[#permalink]
Show Tags
02 Mar 2015, 03:37
ssriva2 wrote: In a certain year, the difference between Mary's and Jim's annual salaries was twice the difference between Mary's and Kate's annual salaries. If Mary's annual salary was the highest of the 3 people, what was the average (arithmetic mean) annual salary of the 3 people that year7 (1) Jim's annual salary was $30,000 that year. (2) Kate's annual salary was $40,000 that year. Hi Bunuel, I am also getting A as suff. MJ=2(MK) Thus,K=2JNow MJ2(MK) Substitute K=2J WE GET 3J=M So M+J+K/3=3J+J+2J/3 2J=This is average,and we are given J,so suff How do you get K=2J from MJ=2(MK)?
_________________



Director
Joined: 09 Jun 2010
Posts: 710

Re: In a certain year, the difference between Mary's and Jim's annual sala
[#permalink]
Show Tags
03 Apr 2015, 00:21
draw a number line to solve this question within 30 seconds



Intern
Joined: 30 Jun 2015
Posts: 1

Re: In a certain year, the difference between Mary's and Jim's annual sala
[#permalink]
Show Tags
09 Aug 2015, 13:10
What is the purpose of the question stating that "Mary's annual salary was the highest of the 3 people"? I was able to solve the problem without using this piece of information so am wondering if I am missing something since GMAT questions usually only give you information that you need to use. Thanks!



Retired Moderator
Joined: 06 Jul 2014
Posts: 1220
Location: Ukraine
Concentration: Entrepreneurship, Technology
GMAT 1: 660 Q48 V33 GMAT 2: 740 Q50 V40

Re: In a certain year, the difference between Mary's and Jim's annual sala
[#permalink]
Show Tags
09 Aug 2015, 13:42
Hchan145 wrote: What is the purpose of the question stating that "Mary's annual salary was the highest of the 3 people"? I was able to solve the problem without using this piece of information so am wondering if I am missing something since GMAT questions usually only give you information that you need to use. Thanks! Hello Hchan145Looks like you are right: this is unneeded piece of information.
_________________



Current Student
Affiliations: Scrum Alliance
Joined: 09 Feb 2010
Posts: 75
Location: United States (MI)
Concentration: Strategy, General Management
GMAT 1: 600 Q48 V25 GMAT 2: 710 Q48 V38
WE: Information Technology (Retail)

Re: In a certain year, the difference between Mary's and Jim's annual sala
[#permalink]
Show Tags
15 Sep 2015, 18:27
A more simpler solution is given below Given is \(M  J = 2 (M  K)\) \(M  J = 2M  2K\) Bringing everything to one side, \(0 = 2M  2K  M + J\) \(0 = M + J  2K\) so, \(M + J = 2K\) Now, adding \(K\) to both the sides, \(M + J + K = 3K\) and finally dividing by 3 gives \(\frac{(M + J + K)}{3} = K\), So in short, knowing Kate's salary should be sufficient to find the mean of the three salaries Statement 1. it gives us Jim's salary, but both M & K are unknown  InsufficientStatement 2. It gives us Kate's salary, and so from above  SufficientAnswer is B.
_________________



Intern
Status: About to write GMAT
Joined: 10 Mar 2015
Posts: 38
Location: India
GPA: 4
WE: Web Development (Consulting)

Re: In a certain year, the difference between Mary's and Jim's annual sala
[#permalink]
Show Tags
21 Sep 2015, 06:04
My Approach:
MJ = 2(MK) as given in the question. I took modulus because it was not specified which one would be greater. Then they say M is greater.
so MJ = 2M2K 2K= M+J or K = (M+K)/2; As K is the average of the two numbers, M and J, the average of M, K and J is K
so Stmnt 2 gives directly the value of K Stmnt 1 doesnot. So answer is B



Intern
Joined: 21 Mar 2014
Posts: 22

Re: In a certain year, the difference between Mary's and Jim's annual sala
[#permalink]
Show Tags
06 Nov 2015, 14:53
as given; MJ = 2(MK) MJ2M+2K=0 (add m+j+k on both sides) MJ2M+2K+M+J+K=M+J+K 3K=M+J+K OR (M+J+K)/3 = K HENCE B IS SUFFICIENT.
_________________
kinaare paaon phailane lage hian, nadi se roz mitti kat rahi hai....



Intern
Joined: 17 Dec 2015
Posts: 41

Re: In a certain year, the difference between Mary's and Jim's annual sala
[#permalink]
Show Tags
14 Feb 2016, 20:57
In a certain year, the difference between Mary's and Jim's annual salaries was twice the difference between Mary's and Kate's annual salaries. If Mary's annual salary was the highest of the 3 people, what was the average (arithmetic mean) annual salary of the 3 people that year7
(1) Jim's annual salary was $30,000 that year. (2) Kate's annual salary was $40,000 that year.
Solution : By question, we got MJ=2(MK) since M is the greatest of them all, which yields M=2KJ now AM is (M+K+J)/3 => (2KJ+K+J)/3 =>K We require K's value to get the AM A: insuff B: suff Hope it helps.



Intern
Joined: 26 Jun 2015
Posts: 37
Location: India
Concentration: Entrepreneurship, General Management
WE: Engineering (Energy and Utilities)

Re: In a certain year, the difference between Mary's and Jim's annual sala
[#permalink]
Show Tags
09 Jul 2017, 04:54
Somehow I solved this in very easy manner. From the question, we can write equation as below. MJ = 2(MK) , So obviously J earns least . M=2KJ To find average salary, we need first total salary i.e. M+K+J Substitute M =2KJ in above equation, we get Total salary = K Now see at options .. First one doesn't give info about k salary , whereas second one gives.. So answer is B.
Please give Kudos..
Posted from my mobile device



Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 8027
GPA: 3.82

Re: In a certain year, the difference between Mary's and Jim's annual sala
[#permalink]
Show Tags
10 Jul 2017, 11:32
alimad wrote: In a certain year, the difference between Mary's and Jim's annual salaries was twice the difference between Mary's and Kate's annual salaries. If Mary's annual salary was the highest of the 3 people, what was the average (arithmetic mean) annual salary of the 3 people that year7
(1) Jim's annual salary was $30,000 that year. (2) Kate's annual salary was $40,000 that year. Forget conventional ways of solving math questions. In DS, Variable approach is the easiest and quickest way to find the answer without actually solving the problem. Remember equal number of variables and independent equations ensures a solution. Let \(M\), \(J\) and \(K\) be the salaries of Mary, Jim and Kate, respectively. We have \( M  J  = 2 M  K \), \(M > J\) and \(M > K\) from the conditions of the original questions. And the question asks what is the value of \(\frac{M + J + K}{3}\). Then we have 3 variables and 1 equation. Thus C is the answer most likely. This question is a key question by VA method, since it is related to Statistics. By CMT(Common Mistake Type) 4A, we should check the answer A or B too. Since \(M > J\) and \(M > K\), we have \(M  J = 2(MK)\) or \(M  J = 2M  2K\), which is equivalent to \(M + J = 2K\). Thus the question asks what is the value of \(\frac{M + J + K}{3} = \frac{3K}{3} = K\). Condition 1) From \(J = 30,000\), we can derive the values of \(M\) or \(K\). Thus this is not sufficient. Condition 2) \(K = 40,000\). This is just the average of \(M\), \(J\) and \(K\) described. Thus this is sufficient. Therefore, B is the Answer Normally for cases where we need 2 more equations, such as original conditions with 2 variables, or 3 variables and 1 equation, or 4 variables and 2 equations, we have 1 equation each in both 1) and 2). Therefore C has a high chance of being the answer, which is why we attempt to solve the question using 1) and 2) together. Here, there is 70% chance that C is the answer, while E has 25% chance. These two are the key questions. In case of common mistake type 3,4, the answer may be from A, B or D but there is only 5% chance. Since C is most likely to be the answer according to DS definition, we solve the question assuming C would be our answer hence using 1) and 2) together. (It saves us time). Obviously there may be cases where the answer is A, B, D or E.
_________________
MathRevolution: Finish GMAT Quant Section with 10 minutes to spareThe oneandonly World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy. "Only $79 for 1 month Online Course""Free Resources30 day online access & Diagnostic Test""Unlimited Access to over 120 free video lessons  try it yourself"



Manager
Joined: 23 May 2017
Posts: 234
Concentration: Finance, Accounting
WE: Programming (Energy and Utilities)

Re: In a certain year, the difference between Mary's and Jim's annual sala
[#permalink]
Show Tags
10 Jul 2017, 11:49
In a certain year, the difference between Mary's and Jim's annual salaries was twice the difference between Mary's and Kate's annual salaries. If Mary's annual salary was the highest of the 3 people, what was the average (arithmetic mean) annual salary of the 3 people that year? (1) Jim's annual salary was $30,000 that year. (2) Kate's annual salary was $40,000 that year. Let's Say Mary's, Jim's and Kate's annual salaries be $X, $Y and $z
given =>> x  y = 2( x  z) so x + y = 2z  equation (1)
Thing to find out = average of x, y and z = \(\frac{x + y + z}{3}\)  equation (2)
now substitute equation (1) in the (2) : we get Average = \(\frac{2z + z}{3}\) = z = which is kate's annual salary.
so we just need to find Kate's annual salary which is directly given in statement 2
_________________
If you like the post, please award me Kudos!! It motivates me



Manager
Joined: 04 May 2014
Posts: 151
Location: India
WE: Sales (Mutual Funds and Brokerage)

Re: In a certain year, the difference between Mary's and Jim's annual sala
[#permalink]
Show Tags
24 Jul 2017, 01:57
Let the difference of Salary between MaryKaren=X
Than as per question stem Difference of salary between MaryJim=2x
This means that the differen has doubled.
When can this happen?
If salary of Jim is less than Karen's
Let us see this with an example.
Let's say the difference between Salary
MaryKaren=10
Then difference between salary of MaryJim=20
Let's see how can above happen
Simple plugging another set of no's
MaryKaren=5040=10 MaryJim=5030=20 Or MaryKaren=6050=10 MaryJim=6040=20
So now the salary looks like this
Mary>Karen>Jim and since Karen is the middle no of the set it is also the average of the set.
Hence statement 2 is sufficient.
Posted from my mobile device



Manager
Joined: 30 Apr 2013
Posts: 76

Re: In a certain year, the difference between Mary's and Jim's annual sala
[#permalink]
Show Tags
05 Oct 2017, 01:04
Hi Brent  with given info how could we conculde that salaries are evenly spaced. I am not able figure out. Please help.



NonHuman User
Joined: 09 Sep 2013
Posts: 13392

Re: In a certain year, the difference between Mary's and Jim's annual sala
[#permalink]
Show Tags
17 Oct 2018, 04:30
Hello from the GMAT Club BumpBot! Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up  doing my job. I think you may find it valuable (esp those replies with Kudos). Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________



NonHuman User
Joined: 09 Sep 2013
Posts: 13392

Re: In a certain year, the difference between Mary's and Jim's annual sala
[#permalink]
Show Tags
15 Jul 2019, 04:49
Hello from the GMAT Club BumpBot! Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up  doing my job. I think you may find it valuable (esp those replies with Kudos). Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________




Re: In a certain year, the difference between Mary's and Jim's annual sala
[#permalink]
15 Jul 2019, 04:49



Go to page
Previous
1 2
[ 35 posts ]



