Last visit was: 24 Apr 2026, 23:06 It is currently 24 Apr 2026, 23:06
Home
Messages
Tests
Schools
Events
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.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel
Back to Forum
Create Topic
805+ (Hard)|   Word Problems|      
avatar
ich
avatar
Joined: 09 Dec 2017
Last visit: 21 May 2020
Posts: 2
Own Kudos:
4
 [3]
Given Kudos: 41
Posts: 2
Kudos: 4
 [3]
Out of a jar that is filled with quarters, nickels and dimes, k coins Updated on: 09 Dec 2017, 04:28
Originally posted by ich on 09 Dec 2017, 03:01.
Last edited by Bunuel on 09 Dec 2017, 04:28, edited 2 times in total.
Renamed the topic, edited the question
1
Kudos
Add Kudos
2
Bookmarks
Bookmark this Post
00:00
Start Timer
Pause Timer
Resume Timer
Show Answer
Hide
Show
History
B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!

Difficulty:

95% (hard)

Question Stats:

29% (02:12) correct 71% (02:00) wrong based on 55 sessions

History

Date
Time
Result
Not Attempted Yet
Out of a jar that is filled with quarters, nickels and dimes, k coins are randomly chosen. The total value of these coins is 45 cents. What is he value of k?

(1) half of the k coins are nickels
(2) half of the k coins are dimes
ShowHide Answer
Official Answer
B
User avatar
chetan2u
User avatar
GMAT Expert
Joined: 02 Aug 2009
Last visit: 24 Apr 2026
Posts: 11,229
Own Kudos:
45,009
 [1]
Given Kudos: 335
Status:Math and DI Expert
Location: India
Concentration: Human Resources, General Management
GMAT Focus 1: 735 Q90 V89 DI81
Products:
My Reviews
Expert
Expert reply
GMAT Focus 1: 735 Q90 V89 DI81
Posts: 11,229
Kudos: 45,009
 [1]
Out of a jar that is filled with quarters, nickels and dimes, k coins 09 Dec 2017, 03:44
Kudos
Add Kudos
1
Bookmarks
Bookmark this Post
ich
Out of a jar that is filled with quarters, nickels and dimes, k coins are randomly chosen. The total value of these coins is 45 cents. What is he value of k?
1) half of the k coins are nickels
2) half of the k coins are dimes

Please let me know your processes and answers.

Posted from my mobile device
Show more


Let the number be q, n and d.
So \(25q+5n+10d=45\)

Let's see the statements
I. Half the coins are nickels.
So \(n=q+d\)..
\(25q+5q+5d+10d=45.................30q+15d=45\)..
Two cases possible..
1) \(q=d=1\)..so \(n=2....25+10+2*5=45\)
2) \(q=0, d=3.\).so \(n=3....10*3+5*3=45\)
Insuff

II. Half the coins are dimes.
\(d=q+n\)....
\(25q+10q+10n+5n=45........\\
35q+15n=45..\)
q has to be 0 as then we will not get n as integer value.
So \(15n=45...n=3\)
So d=3
K=3+3=6
Suff

B

If it is from OG, it would already be discussed.
avatar
ich
avatar
Joined: 09 Dec 2017
Last visit: 21 May 2020
Posts: 2
Own Kudos:
4
Given Kudos: 41
Posts: 2
Kudos: 4
Out of a jar that is filled with quarters, nickels and dimes, k coins 14 Dec 2017, 02:50
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Is it legal to assume that the value of q might be equal to 0 as the wording of the prompt “out of a jar that is filled with quarters, dimes and nickels” indicates that there must be at least 1 coin of each type?

Posted from my mobile device
User avatar
rahul16singh28
User avatar
Joined: 31 Jul 2017
Last visit: 09 Jun 2020
Posts: 428
Own Kudos:
503
Given Kudos: 752
Location: Malaysia
Schools: INSEAD Jan '19
GPA: 3.95
WE:Consulting (Energy)
Schools: INSEAD Jan '19
Posts: 428
Kudos: 503
Out of a jar that is filled with quarters, nickels and dimes, k coins 14 Dec 2017, 08:04
Kudos
Add Kudos
Bookmarks
Bookmark this Post
chetan2u
ich
Out of a jar that is filled with quarters, nickels and dimes, k coins are randomly chosen. The total value of these coins is 45 cents. What is he value of k?
1) half of the k coins are nickels
2) half of the k coins are dimes

Please let me know your processes and answers.

Posted from my mobile device


Let the number be q, n and d.
So \(25q+5n+10d=45\)

Let's see the statements
I. Half the coins are nickels.
So \(n=q+d\)..
\(25q+5q+5d+10d=45.................30q+15d=45\)..
Two cases possible..
1) \(q=d=1\)..so \(n=2....25+10+2*5=45\)
2) \(q=0, d=3.\).so \(n=3....10*3+5*3=45\)
Insuff

II. Half the coins are dimes.
\(d=q+n\)....
\(25q+10q+10n+5n=45........\\
35q+15n=45..\)
q has to be 0 as then we will not get n as integer value.
So \(15n=45...n=3\)
So d=3
K=3+3=6
Suff

B

If it is from OG, it would already be discussed.
Show more

Hi chetan2u

May I please know how did you get \(25q+5n+10d=45\). In the question, the value of Quartz, Nickel & Dime is not mentioned.
User avatar
chetan2u
User avatar
GMAT Expert
Joined: 02 Aug 2009
Last visit: 24 Apr 2026
Posts: 11,229
Own Kudos:
45,009
 [1]
Given Kudos: 335
Status:Math and DI Expert
Location: India
Concentration: Human Resources, General Management
GMAT Focus 1: 735 Q90 V89 DI81
Products:
My Reviews
Expert
Expert reply
GMAT Focus 1: 735 Q90 V89 DI81
Posts: 11,229
Kudos: 45,009
 [1]
Out of a jar that is filled with quarters, nickels and dimes, k coins 14 Dec 2017, 08:09
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
rahul16singh28
chetan2u
ich
Out of a jar that is filled with quarters, nickels and dimes, k coins are randomly chosen. The total value of these coins is 45 cents. What is he value of k?
1) half of the k coins are nickels
2) half of the k coins are dimes

Please let me know your processes and answers.

Posted from my mobile device


Let the number be q, n and d.
So \(25q+5n+10d=45\)

Let's see the statements
I. Half the coins are nickels.
So \(n=q+d\)..
\(25q+5q+5d+10d=45.................30q+15d=45\)..
Two cases possible..
1) \(q=d=1\)..so \(n=2....25+10+2*5=45\)
2) \(q=0, d=3.\).so \(n=3....10*3+5*3=45\)
Insuff

II. Half the coins are dimes.
\(d=q+n\)....
\(25q+10q+10n+5n=45........\\
35q+15n=45..\)
q has to be 0 as then we will not get n as integer value.
So \(15n=45...n=3\)
So d=3
K=3+3=6
Suff

B

If it is from OG, it would already be discussed.

Hi chetan2u

May I please know how did you get \(25q+5n+10d=45\). In the question, the value of Quartz, Nickel & Dime is not mentioned.
Show more

Hi..

we would require to know these conversions. It may be not given in the question at times..
Quartz, Nickel & Dime are 25 cents, 5 cents and 10 cents respectively..
dollar is 100 cents..
User avatar
GMATBusters
User avatar
GMAT Tutor
Joined: 27 Oct 2017
Last visit: 23 Apr 2026
Posts: 1,922
Own Kudos:
6,856
Given Kudos: 241
WE:General Management (Education)
Expert
Expert reply
Posts: 1,922
Kudos: 6,856
Out of a jar that is filled with quarters, nickels and dimes, k coins 14 Dec 2017, 08:37
Kudos
Add Kudos
Bookmarks
Bookmark this Post
“out of a jar that is filled with quarters, dimes and nickels” means that jar is used to store quarters, dimes and nickels. But it is not necessary that all of them are present in a particular condition.

ich
Is it legal to assume that the value of q might be equal to 0 as the wording of the prompt “out of a jar that is filled with quarters, dimes and nickels” indicates that there must be at least 1 coin of each type?

Posted from my mobile device
Show more
User avatar
amanvermagmat
User avatar
Retired Moderator
Joined: 22 Aug 2013
Last visit: 28 Mar 2025
Posts: 1,142
Own Kudos:
2,973
Given Kudos: 480
Location: India
Posts: 1,142
Kudos: 2,973
Out of a jar that is filled with quarters, nickels and dimes, k coins 15 Dec 2017, 03:40
Kudos
Add Kudos
Bookmarks
Bookmark this Post
ich
Is it legal to assume that the value of q might be equal to 0 as the wording of the prompt “out of a jar that is filled with quarters, dimes and nickels” indicates that there must be at least 1 coin of each type?

Posted from my mobile device
Show more

I think in GMAT, it will be clearly specified. From the statement, "out of a jar that is filled with quarters, dimes and nickels.." I also had the first thought that there should be at least one of each type. But as per the question solution for statement 2 (as solved by Chetan2u), there is only one case possible where no of quarters =0. So we will have to go by that and take no of quarters as 0 only.

But still, I believe GMAT will take care of such issues so as to have complete clarity in the question (eg, by mentioning something like 'there is at least one coin of each type' or 'its not necessary to have one coin of each type' etc).
User avatar
bumpbot
User avatar
Non-Human User
Joined: 09 Sep 2013
Last visit: 04 Jan 2021
Posts: 38,978
Own Kudos:
1,117
Posts: 38,978
Kudos: 1,117
Out of a jar that is filled with quarters, nickels and dimes, k coins 09 Dec 2023, 01:20
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Automated notice from GMAT Club BumpBot:

A member just gave Kudos to this thread, showing it’s still useful. I’ve bumped it to the top so more people can benefit. Feel free to add your own questions or solutions.

This post was generated automatically.
Moderators:
Bunuel
Math Expert
109818 posts
kingbucky
498 posts
Gmat860sanskar
212 posts