Last visit was: 13 Nov 2024, 09:22 It is currently 13 Nov 2024, 09:22
Close
GMAT Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Close
Request Expert Reply
Confirm Cancel
Sub 505 Level|   Statistics and Sets Problems|                     
User avatar
Walkabout
Joined: 02 Dec 2012
Last visit: 29 Oct 2024
Posts: 172
Own Kudos:
25,458
 [17]
Given Kudos: 29
Products:
Posts: 172
Kudos: 25,458
 [17]
2
Kudos
Add Kudos
15
Bookmarks
Bookmark this Post
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 13 Nov 2024
Posts: 96,741
Own Kudos:
676,615
 [2]
Given Kudos: 88,006
Products:
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 96,741
Kudos: 676,615
 [2]
Kudos
Add Kudos
2
Bookmarks
Bookmark this Post
User avatar
stonecold
Joined: 12 Aug 2015
Last visit: 09 Apr 2024
Posts: 2,262
Own Kudos:
3,275
 [1]
Given Kudos: 893
GRE 1: Q169 V154
GRE 1: Q169 V154
Posts: 2,262
Kudos: 3,275
 [1]
Kudos
Add Kudos
1
Bookmarks
Bookmark this Post
avatar
Shiv2016
Joined: 02 Sep 2016
Last visit: 14 Aug 2024
Posts: 522
Own Kudos:
Given Kudos: 277
Posts: 522
Kudos: 201
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Walkabout
What is the average (arithmetic mean) of j and k ?

(1) The average (arithmetic mean) of j + 2 and k + 4 is 11.
(2) The average (arithmetic mean) of j, k, and 14 is 10.


To find: (j+k)/2
(1) (j+2+k+4)/2 = 11
j+k+6=22
j+k=22-6

Sufficient

AD

(2) (j+k+14)/3=10
Again we get the value for j+k.

Sufficient

D
User avatar
MathRevolution
User avatar
Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Last visit: 27 Sep 2022
Posts: 10,125
Own Kudos:
Given Kudos: 4
GMAT 1: 760 Q51 V42
GPA: 3.82
Expert reply
GMAT 1: 760 Q51 V42
Posts: 10,125
Kudos: 17,647
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Walkabout
What is the average (arithmetic mean) of j and k ?

(1) The average (arithmetic mean) of j + 2 and k + 4 is 11.
(2) The average (arithmetic mean) of j, k, and 14 is 10.

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.

There are 2 variables \(i\), \(j\) and 0 equation are given from the conditions, so there is high chance (C) will be our answer.

For cases where we need 2 more equation, 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, there is 70% chance that C is the answer, while E has 25% chance. These two are the majority.

However, this question asks a relation between 2 variables, that is, \(\frac{j + k}{2}\). It might need less than 2 equations to solve.

Condition (1)
\(\frac{j + 2 + k + 4}{2} = 11\)
\(j + k + 6 = 22\)
\(j + k = 16\)
Hence, the average of \(j\) and \(k\) is \(\frac{j + k}{2} = 8\).

Condition (2)
\(\frac{j + k + 14}{3} = 10\)
\(j + k + 14 = 30\)
\(j + k = 16\)
Hence, the average of \(j\) and \(k\) is \(\frac{j + k}{2} = 8\).

Therefore, the correct answer is D.
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Walkabout
What is the average (arithmetic mean) of j and k ?

(1) The average (arithmetic mean) of j + 2 and k + 4 is 11.
(2) The average (arithmetic mean) of j, k, and 14 is 10.
Bunuel
Can I solve this question by the following way?

Question:
j+k=multiple of 2?
1) j+k=16
Yes--> 16 is a multiple of 2. Sufficient

2) j+k=16
Yes--> 16 is a multiple of 2. Sufficient
Thanks__
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 13 Nov 2024
Posts: 96,741
Own Kudos:
Given Kudos: 88,006
Products:
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 96,741
Kudos: 676,615
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Asad
Walkabout
What is the average (arithmetic mean) of j and k ?

(1) The average (arithmetic mean) of j + 2 and k + 4 is 11.
(2) The average (arithmetic mean) of j, k, and 14 is 10.
Bunuel
Can I solve this question by the following way?

Question:
j+k=multiple of 2?
1) j+k=16
Yes--> 16 is a multiple of 2. Sufficient

2) j+k=16
Yes--> 16 is a multiple of 2. Sufficient
Thanks__

No, that's not correct. This is not an YES/NO question, this is a value questions. "What is the value of (j + k)/2" is not the same as "is j + k a multiple of 2".
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel
Asad
Walkabout
What is the average (arithmetic mean) of j and k ?

(1) The average (arithmetic mean) of j + 2 and k + 4 is 11.
(2) The average (arithmetic mean) of j, k, and 14 is 10.
Bunuel
Can I solve this question by the following way?

Question:
j+k=multiple of 2?
1) j+k=16
Yes--> 16 is a multiple of 2. Sufficient

2) j+k=16
Yes--> 16 is a multiple of 2. Sufficient
Thanks__

No, that's not correct. This is not an YES/NO question, this is a value questions. "What is the value of (j + k)/2" is not the same as "is j + k a multiple of 2".
Thanks for the response..
Question:
j+k=multiple of 2 of any digit?
1) j+k=16 (8X2)
Yes--> multiple of 2 of any digit . Sufficient

2) j+k=16 (8X2)
Yes--> multiple of 2 of any digit . Sufficient
Edited.....
Does it make sense now Bunuel?
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 13 Nov 2024
Posts: 96,741
Own Kudos:
676,615
 [1]
Given Kudos: 88,006
Products:
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 96,741
Kudos: 676,615
 [1]
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Asad
Thanks for the response..
Question:
j+k=multiple of 2 of any digit?
1) j+k=16 (8X2)
Yes--> multiple of 2 of any digit . Sufficient

2) j+k=16 (8X2)
Yes--> multiple of 2 of any digit . Sufficient. Sufficient
Edited.....
Does it make sense now Bunuel?

No. This is not an YES/NO question, this is a value questions.
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel
Asad
Thanks for the response..
Question:
j+k=multiple of 2 of any digit?
1) j+k=16 (8X2)
Yes--> multiple of 2 of any digit . Sufficient

2) j+k=16 (8X2)
Yes--> multiple of 2 of any digit . Sufficient. Sufficient
Edited.....
Does it make sense now Bunuel?

No. This is not an YES/NO question, this is a value questions.
Honestly speaking, I did not find any mistake in converting value question to YES/NO question!
If a question prompt ask: What is the value of \(x\) if any digit multiplied by 2?
This one is value question..
Converted version:
Is \(x\) even?

It seems that both version are SAME.
Could you help me to understand whole the scenario, please-Bunuel?
Thanks__
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 13 Nov 2024
Posts: 96,741
Own Kudos:
Given Kudos: 88,006
Products:
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 96,741
Kudos: 676,615
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Asad
Bunuel
Asad
Thanks for the response..
Question:
j+k=multiple of 2 of any digit?
1) j+k=16 (8X2)
Yes--> multiple of 2 of any digit . Sufficient

2) j+k=16 (8X2)
Yes--> multiple of 2 of any digit . Sufficient. Sufficient
Edited.....
Does it make sense now Bunuel?

No. This is not an YES/NO question, this is a value questions.
Honestly speaking, I did not find any mistake in converting value question to YES/NO question!
If a question prompt ask: What is the value of \(x\) if any digit multiplied by 2?
This one is value question..
Converted version:
Is \(x\) even?

It seems that both version are SAME.
Could you help me to understand whole the scenario, please-Bunuel?
Thanks__

Sorry, but I cannot understand what does "What is the value of \(x\) if any digit multiplied by 2? " mean. It does not make sense.
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel
Asad
Thanks for the response..
Question:
j+k=multiple of 2 of any digit?
1) j+k=16 (8X2)
Yes--> multiple of 2 of any digit . Sufficient

2) j+k=16 (8X2)
Yes--> multiple of 2 of any digit . Sufficient. Sufficient
Edited.....
Does it make sense now Bunuel?

No. This is not an YES/NO question, this is a value questions.
Yes, i got my answer. It seems that there is no way to convert YES/NO question to VALUE question, right?
User avatar
bumpbot
User avatar
Non-Human User
Joined: 09 Sep 2013
Last visit: 04 Jan 2021
Posts: 35,497
Own Kudos:
Posts: 35,497
Kudos: 910
Kudos
Add Kudos
Bookmarks
Bookmark this Post
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.
Moderator:
Math Expert
96741 posts