It is currently 11 Dec 2018, 19:25
My Tests

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.

A jar contains marbles of 3 colors

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
Manager
Manager
Joined: 13 Aug 2016
Posts: 77
GRE 1: Q158 V154
Followers: 0

Kudos [?]: 37 [0], given: 21

A jar contains marbles of 3 colors [#permalink] New post 27 Aug 2016, 01:12
00:00

Question Stats:

35% (01:28) correct 64% (01:35) wrong based on 14 sessions
A jar contains only marbles of three different colors : red,green and yellow.The red and green marbles are in the ratio of 2:5 and the yellow and red marbles are in a ratio of 5:6.Which of the following could be the total number of marbles?

    (A). 13
    (B). 24
    (C). 52
    (D). 90
    (E). 134
    (F). 182

[Reveal] Spoiler: OA
C,F
[Reveal] Spoiler: OA

Last edited by Carcass on 28 Dec 2017, 10:45, edited 3 times in total.
Edited by Carcass
2 KUDOS received
Manager
Manager
Joined: 13 Aug 2016
Posts: 77
GRE 1: Q158 V154
Followers: 0

Kudos [?]: 37 [2] , given: 21

Re: A jar contains marbles of 3 colors [#permalink] New post 27 Aug 2016, 01:26
2
This post received
KUDOS
Suppose:
R = Red marbles in jar
G = Green marbles in jar
Y = Yellow marbles in jar

R:G = 2:5 => R/G = 2/5 and Y:R = 5:6 => Y/R = 5/6


=> (R/G) * (Y/R) = (2/5) *(5/6)

=> Y/G = 1/3

We can write above ratios as

G:R = 5:2 => G:R = 15:6 ... 1
R:Y = 6:5 ... 2

=> G:R:Y = 15:6:5

Now Total number of marbles = T = Gx+Rx+Yx = 15x+6x+5x = 26x

So total number of marbles in the jar should be any multiple of 26.In given options C and F are the values which are factors of 26.

So answers are C and F
1 KUDOS received
GRE Instructor
User avatar
Joined: 10 Apr 2015
Posts: 1232
Followers: 45

Kudos [?]: 1113 [1] , given: 7

Re: A jar contains marbles of 3 colors [#permalink] New post 29 Aug 2016, 14:48
1
This post received
KUDOS
Expert's post
yasir9909 wrote:
A jar contains only marbles of three different colors : red,green and yellow.The red and green marbles are in the ratio of 2:5 and the yellow and red marbles are in a ratio of 5:6.Which of the following could be the total number of marbles?

    (A). 13
    (B). 24
    (C). 52
    (D). 90
    (E). 134
    (F). 182

[Reveal] Spoiler: OA
C,F


Our goal here is to COMBINE both ratios: R:G = 2:5 and Y:R = 5:6
Since both ratios have a number of RED marbles, we'll use this value to combine the ratios.
To do so, we need to rewrite one ratio (or possibly both ratios) as an equivalent ratio, so that the resulting ratio shares a RED value with the other given ratio.

So, take the first ratio of R:G (2:5) and multiply both quantities by 3 to get: R:G = 6:15
So, we now have the ratios Y:R = 5:6 AND R:G = 6:15
We can COMBINE them to get Y:R:G = 5:6:15

So, we could have 5 yellows, 6 reds, and 15 greens for a total of 26 marbles
Or, we could have 10 yellows, 12 reds, and 30 greens for a total of 52 marbles
Or we could have 15 yellows, 18 reds, and 45 greens for a total of 78 marbles
etc.
As you can see, the totals are all multiples of 26.

Since answer choices A and F are the ONLY multiples of 26, they are the correct answers.

Answer:
[Reveal] Spoiler:
A, F


RELATED VIDEO

_________________

Brent Hanneson – Creator of greenlighttestprep.com
Image
Sign up for our free GRE Question of the Day emails

Director
Director
Joined: 03 Sep 2017
Posts: 521
Followers: 1

Kudos [?]: 330 [0], given: 66

Re: A jar contains marbles of 3 colors [#permalink] New post 06 Sep 2017, 05:36
I think your answers should be combined. Given the fact that the ratio is 5:6:15, the sum of 5+6+15 = 26. Thus, we should look for multiples of 26 that are 13 = 26*1/2, 52 = 26*2 and 182 = 26*7. To conclude the answers are A, C and F.
Am I right?
Director
Director
Joined: 03 Sep 2017
Posts: 521
Followers: 1

Kudos [?]: 330 [0], given: 66

Re: A jar contains marbles of 3 colors [#permalink] New post 18 Sep 2017, 02:01
IlCreatore wrote:
I think your answers should be combined. Given the fact that the ratio is 5:6:15, the sum of 5+6+15 = 26. Thus, we should look for multiples of 26 that are 13 = 26*1/2, 52 = 26*2 and 182 = 26*7. To conclude the answers are A, C and F.
Am I right?


Thinking about this question again, I found out that the right answers are those of yasir because 13 is not a multiple of 26 since a multiple is defined as an integer number that is product of two integers and 1/2 is not an integer.
1 KUDOS received
GRE Instructor
User avatar
Joined: 10 Apr 2015
Posts: 1232
Followers: 45

Kudos [?]: 1113 [1] , given: 7

Re: A jar contains marbles of 3 colors [#permalink] New post 18 Sep 2017, 14:00
1
This post received
KUDOS
Expert's post
IlCreatore wrote:
I think your answers should be combined. Given the fact that the ratio is 5:6:15, the sum of 5+6+15 = 26. Thus, we should look for multiples of 26 that are 13 = 26*1/2, 52 = 26*2 and 182 = 26*7. To conclude the answers are A, C and F.
Am I right?


Answer choice A is not correct.
13 is not a multiple of 26.

Multiples of 26 are in the form 26k, where k is an INTEGER
So, the multiples of 26 are as follows: {. . ., -78, -52, -26, 0, 26, 52, 78, 104, . . . }

Cheers,
Brent
_________________

Brent Hanneson – Creator of greenlighttestprep.com
Image
Sign up for our free GRE Question of the Day emails

Director
Director
Joined: 03 Sep 2017
Posts: 521
Followers: 1

Kudos [?]: 330 [0], given: 66

Re: A jar contains marbles of 3 colors [#permalink] New post 25 Sep 2017, 04:37
GreenlightTestPrep wrote:
IlCreatore wrote:
I think your answers should be combined. Given the fact that the ratio is 5:6:15, the sum of 5+6+15 = 26. Thus, we should look for multiples of 26 that are 13 = 26*1/2, 52 = 26*2 and 182 = 26*7. To conclude the answers are A, C and F.
Am I right?


Answer choice A is not correct.
13 is not a multiple of 26.

Multiples of 26 are in the form 26k, where k is an INTEGER
So, the multiples of 26 are as follows: {. . ., -78, -52, -26, 0, 26, 52, 78, 104, . . . }

Cheers,
Brent


Exactly as I wrote in my second comment. Your previous answer was wrong, yasir was right.
1 KUDOS received
Intern
Intern
Joined: 10 Jun 2018
Posts: 32
Followers: 0

Kudos [?]: 14 [1] , given: 4

Re: A jar contains marbles of 3 colors [#permalink] New post 04 Sep 2018, 18:40
1
This post received
KUDOS
here it is given - red : green => 2:5 ---(i)
Yellow : red => 5:6 ---(ii)
from (i) we get => red : green => 2:5 => 6:15

so green:red:yellow => 15:6:5
we get total number = 15x + 6x + 5x = 26x
so the answer will be multiple of 26. ans : C, F
Re: A jar contains marbles of 3 colors   [#permalink] 04 Sep 2018, 18:40
Display posts from previous: Sort by

A jar contains marbles of 3 colors

  Question banks Downloads My Bookmarks Reviews Important topics  


GRE Prep Club Forum Home| About| Terms and Conditions and Privacy Policy| GRE Prep Club Rules| Contact

Powered by phpBB © phpBB Group

Kindly note that the GRE® test is a registered trademark of the Educational Testing Service®, and this site has neither been reviewed nor endorsed by ETS®.