It is currently 11 Dec 2017, 12:14

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

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

Set A consists of integers -9, 8, 3, 10, and J; Set B consists

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

2 KUDOS received
Manager
Manager
avatar
Joined: 14 Dec 2014
Posts: 54

Kudos [?]: 40 [2], given: 14

Location: India
Concentration: Technology, Finance
GPA: 3.87
WE: Programming (Computer Software)
Set A consists of integers -9, 8, 3, 10, and J; Set B consists [#permalink]

Show Tags

New post 22 Dec 2014, 03:12
2
This post received
KUDOS
00:00
A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

77% (01:51) correct 23% (02:39) wrong based on 124 sessions

HideShow timer Statistics

Set A consists of integers -9, 8, 3, 10, and J; Set B consists of integers -2, 5, 0, 7, -6, and T. If R is the median of Set A and W is the mode of set B, and R^W is a factor of 34, what is the value of T if J is negative?

(A) -2
(B) 0
(C) 1
(D) 2
(E) 5
[Reveal] Spoiler: OA

_________________

If you like my posts appreciate them with Kudos :)
Cheers!!

Kudos [?]: 40 [2], given: 14

1 KUDOS received
Manager
Manager
avatar
Joined: 14 Dec 2014
Posts: 54

Kudos [?]: 40 [1], given: 14

Location: India
Concentration: Technology, Finance
GPA: 3.87
WE: Programming (Computer Software)
Re: Set A consists of integers -9, 8, 3, 10, and J; Set B consists [#permalink]

Show Tags

New post 22 Dec 2014, 03:19
1
This post received
KUDOS
1
This post was
BOOKMARKED
34 has only following factors 1,2,17,24
if R^W is a factor of 34 then W can take only 1 or 0.
If J is negative then R becomes 3 as it is the middle term in the 1st sequence.
So 3^W is a factor of 34. however 34 has only 4 factors mentioned above. So W must be equal to zero if at all 3^W has to be the factor of 34.
if the mode W is 0 then T must be equal to 0

Ans B
_________________

If you like my posts appreciate them with Kudos :)
Cheers!!

Kudos [?]: 40 [1], given: 14

1 KUDOS received
Senior Manager
Senior Manager
User avatar
Joined: 13 Jun 2013
Posts: 278

Kudos [?]: 487 [1], given: 13

Premium Member
Re: Set A consists of integers -9, 8, 3, 10, and J; Set B consists [#permalink]

Show Tags

New post 22 Dec 2014, 03:24
1
This post received
KUDOS
uday1409 wrote:
Set A consists of integers -9, 8, 3, 10, and J; Set B consists of integers -2, 5, 0, 7, -6, and T. If R is the median of Set A and W is the mode of set B, and R^W is a factor of 34, what is the value of T if J is negative?

(A) -2
(B) 0
(C) 1
(D) 2
(E) 5


since j is negative, therefore median of the set will be 3. which is an odd number. also, we know that odd^n will always be odd. now since 34 is even, therefore 3^w will have only one factor with 34 for w=0.

mode of the set is a number which occurs maximum number of time in the set. now, since T is the mode of the set. therefore t=0. hence answer is B

Kudos [?]: 487 [1], given: 13

Intern
Intern
avatar
Joined: 16 Jan 2014
Posts: 6

Kudos [?]: 1 [0], given: 0

Re: Set A consists of integers -9, 8, 3, 10, and J; Set B consists [#permalink]

Show Tags

New post 22 Dec 2014, 05:22
As its given that J is negative, R = 3
34 = 17 * 2
As W is a mode of B => T has to take any one of the values from B.
No other value except T = 0 will make R^W|34.

Kudos [?]: 1 [0], given: 0

Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 14937

Kudos [?]: 287 [0], given: 0

Premium Member
Re: Set A consists of integers -9, 8, 3, 10, and J; Set B consists [#permalink]

Show Tags

New post 07 Nov 2017, 14:55
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.
_________________

GMAT Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources

Kudos [?]: 287 [0], given: 0

Expert Post
1 KUDOS received
Veritas Prep GMAT Instructor
User avatar
G
Joined: 16 Oct 2010
Posts: 7788

Kudos [?]: 18098 [1], given: 236

Location: Pune, India
Re: Set A consists of integers -9, 8, 3, 10, and J; Set B consists [#permalink]

Show Tags

New post 08 Nov 2017, 06:02
1
This post received
KUDOS
Expert's post
1
This post was
BOOKMARKED
uday1409 wrote:
Set A consists of integers -9, 8, 3, 10, and J; Set B consists of integers -2, 5, 0, 7, -6, and T. If R is the median of Set A and W is the mode of set B, and R^W is a factor of 34, what is the value of T if J is negative?

(A) -2
(B) 0
(C) 1
(D) 2
(E) 5


A = { -9, 3, 8, 10, J }
Median R
J is negative so we have 2 negative numbers. Hence, median must be 3.
R = 3

B = { -2, 5, 0, 7, -6, T }
Mode W (this means one of the known 5 numbers is the value of T and that is the mode W)

Factors of 34 = 1, 2, 17, 34
3^W is one of these numbers. W has to be 0 because only 3^0 = 1 is a possible factor.
T = W = 0

Answer (B)
_________________

Karishma
Veritas Prep | GMAT Instructor
My Blog

Get started with Veritas Prep GMAT On Demand for $199

Veritas Prep Reviews

Kudos [?]: 18098 [1], given: 236

Re: Set A consists of integers -9, 8, 3, 10, and J; Set B consists   [#permalink] 08 Nov 2017, 06:02
Display posts from previous: Sort by

Set A consists of integers -9, 8, 3, 10, and J; Set B consists

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  


cron

GMAT Club MBA Forum Home| About| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.