GMAT Question of the Day - Daily to your Mailbox; hard ones only

It is currently 18 Jun 2019, 00:32

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

If Kelly received 1/3 more votes than Mike in a student

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

Hide Tags

 
Manager
Manager
User avatar
Joined: 28 Jan 2011
Posts: 76
Location: Tennessee
Schools: Belmont University
If Kelly received 1/3 more votes than Mike in a student  [#permalink]

Show Tags

New post 18 May 2011, 13:08
1
9
00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

68% (01:27) correct 32% (01:36) wrong based on 483 sessions

HideShow timer Statistics

If Kelly received 1/3 times more votes than Mike in a student election, which of the following could have been the total number of votes cast for the two candidates?

A. 12
B. 13
C. 14
D. 15
E. 16
Most Helpful Expert Reply
Veritas Prep GMAT Instructor
User avatar
D
Joined: 16 Oct 2010
Posts: 9326
Location: Pune, India
Re: If Kelly received 1/3 more votes than Mike in a student  [#permalink]

Show Tags

New post 18 May 2011, 19:37
6
3
MitDavidDv wrote:
If Kelly received 1/3 more votes than Mike in a student election, which of the following could have been the total number of votes cast for the two candidates?
A. 12
B. 13
C. 14
D. 15
E. 16


You can use ratios to solve it too.
Kelly received 1/3 more votes than Mike which means that if Mike got 3 votes, Kelly got 4 votes (1/3 more than Mike). Since votes cannot be fractional, Mike must have got at least 3 votes and Kelly must have got at least 4 votes. They must have got at least 7 votes together. Actual number of votes could be any multiple of 7. The only multiple of 7 in the options is 14.
For more on ratios, check:
http://www.veritasprep.com/blog/2011/03 ... of-ratios/
_________________
Karishma
Veritas Prep GMAT Instructor

Learn more about how Veritas Prep can help you achieve a great GMAT score by checking out their GMAT Prep Options >
Most Helpful Community Reply
Retired Moderator
avatar
Joined: 20 Dec 2010
Posts: 1745
Re: If Kelly received 1/3 more votes than Mike in a student  [#permalink]

Show Tags

New post 18 May 2011, 13:25
5
MitDavidDv wrote:
If Kelly received 1/3 more votes than Mike in a student election, which of the following could have been the total number of votes cast for the two candidates?
A. 12
B. 13
C. 14
D. 15
E. 16


Question should say: 1/3 TIMES more votes.

K = M + 1/3M
K = (4/3)M
M+K=M+(4/3)M=Total
Total = (7/3)M
M=(3/7)Total

Total must be a multiple of 7 because Mary can't receive fractional numbers of votes.

Only option that is a multiple of 7 is 14.

Ans: "C"
_________________
General Discussion
Director
Director
avatar
Joined: 01 Feb 2011
Posts: 636
Re: If Kelly received 1/3 more votes than Mike in a student  [#permalink]

Show Tags

New post 18 May 2011, 18:28
1
K = (4/3)M

=> M+K = (7/3)*M

=> M = (3/7)*(M+K)

M+K has to be a multiple of 7.

Only possible option here is 14.

Answer is C.
Director
Director
avatar
Status: There is always something new !!
Affiliations: PMI,QAI Global,eXampleCG
Joined: 08 May 2009
Posts: 952
Re: If Kelly received 1/3 more votes than Mike in a student  [#permalink]

Show Tags

New post 18 May 2011, 21:28
1
7/3 * M = total votes

means total votes/7 = integer.

14 fits
Intern
Intern
avatar
Joined: 11 Jul 2012
Posts: 40
Re: If Kelly received 1/3 more votes than Mike in a student  [#permalink]

Show Tags

New post 03 Nov 2012, 08:22
It's not clear to whether 1/3 has to be applied to the votes cast to Mike or to the total votes
Please help
Veritas Prep GMAT Instructor
User avatar
D
Joined: 16 Oct 2010
Posts: 9326
Location: Pune, India
Re: If Kelly received 1/3 more votes than Mike in a student  [#permalink]

Show Tags

New post 03 Nov 2012, 21:37
Ousmane wrote:
It's not clear to whether 1/3 has to be applied to the votes cast to Mike or to the total votes
Please help


The question clearly says "Kelly received 1/3 more votes than Mike"
The comparison of 1/3rd more is with Mike.

So for every 3 votes, Kelly received 1 extra vote i.e. she received 4 votes.
_________________
Karishma
Veritas Prep GMAT Instructor

Learn more about how Veritas Prep can help you achieve a great GMAT score by checking out their GMAT Prep Options >
Intern
Intern
avatar
Status: wants to beat the gmat
Joined: 18 Jul 2012
Posts: 19
Location: United States
Re: If Kelly received 1/3 more votes than Mike in a student  [#permalink]

Show Tags

New post 06 Nov 2012, 15:48
K = 4/3 M
we know M has to be a multiple of 3 in order to get an integer for K + M

plug in a couple values for M:

M = 3 => K = 3 + 1 = 4
M + K = 7 (not in choices)

M = 6 => K = 6 + 2 = 8
M + K = 14 (answer C)
SVP
SVP
User avatar
Status: The Best Or Nothing
Joined: 27 Dec 2012
Posts: 1793
Location: India
Concentration: General Management, Technology
WE: Information Technology (Computer Software)
Re: If Kelly received 1/3 more votes than Mike in a student  [#permalink]

Show Tags

New post 13 Jan 2015, 22:27
Let votes to Mike = x

Then votes to Kelly \(= x + \frac{x}{3}\)

Total votes \(= 2x + \frac{x}{3} = \frac{7x}{3}\)

\(x = (Total Votes) * \frac{3}{7}\)

Total votes should be divisible by 7, only 14 fits in

Answer = C
_________________
Kindly press "+1 Kudos" to appreciate :)
Target Test Prep Representative
User avatar
D
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 6563
Location: United States (CA)
Re: If Kelly received 1/3 more votes than Mike in a student  [#permalink]

Show Tags

New post 10 May 2017, 12:33
1
MitDavidDv wrote:
If Kelly received 1/3 more votes than Mike in a student election, which of the following could have been the total number of votes cast for the two candidates?

A. 12
B. 13
C. 14
D. 15
E. 16


If we let k = the number of votes Mike received, then (4/3)k = the number of votes Kelly received. Thus, they received a total of k + 4k/3 = 3k/3 + 4k/3 = 7k/3 votes.

Since 7k/3 has to be an integer, k can be any multiple of 3.

When k is 3, the total number of votes is 7(3)/3 = 7.

When k is 6, the total number of votes is 7(6)/3 = 14.

Answer: C
_________________

Scott Woodbury-Stewart

Founder and CEO

Scott@TargetTestPrep.com
TTP - Target Test Prep Logo
122 Reviews

5-star rated online GMAT quant
self study course

See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews

If you find one of my posts helpful, please take a moment to click on the "Kudos" button.

Intern
Intern
avatar
B
Joined: 11 Feb 2017
Posts: 23
Location: India
Schools: SPJ PGPM"17
GMAT 1: 600 Q48 V25
GPA: 3.57
WE: Engineering (Computer Software)
Reviews Badge
Re: If Kelly received 1/3 more votes than Mike in a student  [#permalink]

Show Tags

New post 19 May 2017, 12:33
Let votes to Mike = x
Total votes =2x+x/3=7x/3= hence answer should be multiple of 7 thats 14 - option C
Answer = C
________________
who is the winner , the one who tries and fails OR the one does not try because of fear of loosing !!
Have a good day ! Kindly press "+1 Kudos" to appreciate :)
Senior Manager
Senior Manager
User avatar
S
Joined: 08 Jun 2015
Posts: 423
Location: India
GMAT 1: 640 Q48 V29
GMAT 2: 700 Q48 V38
GPA: 3.33
Reviews Badge
Re: If Kelly received 1/3 more votes than Mike in a student  [#permalink]

Show Tags

New post 22 Jun 2018, 08:16
Let the number of votes for Mike and Kelly be M and K respectively. As per the statement K=(4/3)*M. K/M=4/3. The sum has to be a multiple of 7. The total number of votes need to be a multiple of 7. Only 14 or option C fits the bill.

Option C it is !!
_________________
" The few , the fearless "
Director
Director
User avatar
D
Affiliations: IIT Dhanbad
Joined: 13 Mar 2017
Posts: 729
Location: India
Concentration: General Management, Entrepreneurship
GPA: 3.8
WE: Engineering (Energy and Utilities)
Re: If Kelly received 1/3 more votes than Mike in a student  [#permalink]

Show Tags

New post 12 Nov 2018, 00:02
MitDavidDv wrote:
If Kelly received 1/3 times more votes than Mike in a student election, which of the following could have been the total number of votes cast for the two candidates?

A. 12
B. 13
C. 14
D. 15
E. 16


Let the vote received by Mike be M.
Vote Received by Kelly is 1/3 more than the votes of Mike = (1/3)M +M = (4/3)M
Ratio of votes of Kelly to Mike = 4/3

Since votes should be a natural number. So it must be a multiple of 4+3 = 7. Only Option C i.e. 14 is a multiple of 7.

Answer C
_________________
CAT 2017 (98.95) & 2018 (98.91) : 99th percentiler
UPSC Aspirants : Get my app UPSC Important News Reader from Play store.

MBA Social Network : WebMaggu


Appreciate by Clicking +1 Kudos ( Lets be more generous friends.)



What I believe is : "Nothing is Impossible, Even Impossible says I'm Possible" : "Stay Hungry, Stay Foolish".
Director
Director
User avatar
P
Joined: 04 Sep 2015
Posts: 564
Location: India
WE: Information Technology (Computer Software)
Premium Member Reviews Badge
Re: If Kelly received 1/3 more votes than Mike in a student  [#permalink]

Show Tags

New post 13 Jan 2019, 10:04
If Kelly received 1/3 times more votes than Mike in a student election, which of the following could have been the total number of votes cast for the two candidates?

A. 12
B. 13
C. 14
D. 15
E. 16

let mike got x votes, then Kelly got (x+1/3x) votes

thus total votes=x+(x+1/3x)=(7/3)x.


so x=(3*total votes)/7. since the votes have to be integer then we have to pick a nunber which is divisible by 7 to make x as an integer.

only option c is divisivle by 7 and thus x=6 and Kelly got 8 votes.=14


C is correct.
GMAT Club Bot
Re: If Kelly received 1/3 more votes than Mike in a student   [#permalink] 13 Jan 2019, 10:04
Display posts from previous: Sort by

If Kelly received 1/3 more votes than Mike in a student

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


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