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.

It appears that you are browsing the GMAT Club forum unregistered!

Signing up is free, quick, and confidential.
Join other 500,000 members and get the full benefits of GMAT Club

Registration gives you:

Tests

Take 11 tests and quizzes from GMAT Club and leading GMAT prep companies such as Manhattan GMAT,
Knewton, and others. All are free for GMAT Club members.

Applicant Stats

View detailed applicant stats such as GPA, GMAT score, work experience, location, application
status, and more

Books/Downloads

Download thousands of study notes,
question collections, GMAT Club’s
Grammar and Math books.
All are free!

Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:

Joseph has exactly 185 pesos in 50 peso coins, 25 peso [#permalink]

Show Tags

01 Sep 2010, 15:22

1

This post received KUDOS

1

This post was BOOKMARKED

00:00

A

B

C

D

E

Difficulty:

45% (medium)

Question Stats:

67% (02:19) correct
33% (01:24) wrong based on 188 sessions

HideShow timer Statistics

Joseph has exactly 185 pesos in 50 peso coins, 25 peso coins, and 1 peso coins only, and he has at least one of each. How many 25 peso coins does he have?

(1) He has exactly two 50 peso coins. (2) He has fewer than 40 1 peso coins.

Re: The Quest for 700: Weekly GMAT Challenge peso [#permalink]

Show Tags

01 Sep 2010, 15:24

zisis wrote:

Joseph has exactly 185 pesos in 50 peso coins, 25 peso coins, and 1 peso coins only, and he has at least one of each. How many 25 peso coins does he have?

Re: The Quest for 700: Weekly GMAT Challenge peso [#permalink]

Show Tags

02 Sep 2010, 17:43

1

This post received KUDOS

zisis wrote:

Joseph has exactly 185 pesos in 50 peso coins, 25 peso coins, and 1 peso coins only, and he has at least one of each. How many 25 peso coins does he have?

1) He has exactly two 50 peso coins.

2) He has fewer than 40 1 peso coins.

A: Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.

B: Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.

C: BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.

D: EACH statement ALONE is sufficient.

E: Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are needed.

The easiest way to count the number of possibilities for how Joseph could have 185 pesos in 50 peso coins, 25 peso coins, and 1 peso coins is to count via the largest increment, 50. Since 3 is the max number of 50 peso coins he could have, here are all the possibilities: 50 peso 25 peso 1 peso 3 1 10 2 3 10 2 2 35 2 1 60 1 5 10 1 4 35 1 3 60 1 2 85 1 1 110

1) INSUFFICIENT. Joseph has exactly 2 50 peso coins. We now have three options, all with different numbers of 25 peso coins. 50 peso 25 peso 1 peso 2 3 10 2 2 35 2 1 60

2) INSUFFICIENT. He has fewer than 40 1 peso coins. We now have 5 options, with 5 different numbers for how many 25 peso coins he has. 50 peso 25 peso 1 peso 3 1 10 2 3 10 2 2 35 1 5 10 1 4 35

1+2) INSUFFICIENT. He has exactly 2 50 peso coins and fewer than 40 1 peso coins. Since the chart for statement 1 above is shorter, refer back to it, and eliminate the 1 option that has more than 40 1 peso coins. Two options remain: 50 peso 25 peso 1 peso 2 3 10 2 2 35

Re: Joseph has exactly 185 pesos in 50 peso coins, 25 peso [#permalink]

Show Tags

24 Oct 2013, 17:08

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.
_________________

Joseph has exactly 185 pesos in 50 peso coins, 25 peso coins, and 1 peso coins only, and he has at least one of each. How many 25 peso coins does he have?

(1) He has exactly two 50 peso coins. (2) He has fewer than 40 1 peso coins.

We have that 50x + 25y + z = 185, where x, y, z are positive integers. Question is for which positive integer values of x, y, and z will the equation hold true??

S1 :- INSUFFICIENT x = 2 ---------> 100 + 25y + z = 185 -----------> 25y + z = 85 From the above equation we will get three possible solutions of y and z y=1 and z=60 y=2 and z=35 y=3 and z=10

S2 :- INSUFFICIENT Z < 40 ---------> Trying various values of z from 1 to 39, we will get multiple different values of x and y

S1 + S2 :- INSUFFICIENT Despite knowing that Z can not be greater than 40, we still have two cases y=2 and z=35 y=3 and z=10 Hence Answer should be E

Re: Joseph has exactly 185 pesos in 50 peso coins, 25 peso [#permalink]

Show Tags

19 May 2016, 18:01

zisis wrote:

Joseph has exactly 185 pesos in 50 peso coins, 25 peso coins, and 1 peso coins only, and he has at least one of each. How many 25 peso coins does he have?

(1) He has exactly two 50 peso coins. (2) He has fewer than 40 1 peso coins.

Suppose: 50A+25B+C=185

1. A=2 25B+C=85 we can have: B=1 -> C=65 B=2 -> C=35 B=3 -> C=10 not sufficient.

2. C<40 A=1 C=35 B=4 or A=2 C=10 B=3

not sufficient.

1+2 A=2 C=10 B=3

or A=1 C=35 B=4

2 outcomes - not sufficient answer is E.

gmatclubot

Re: Joseph has exactly 185 pesos in 50 peso coins, 25 peso
[#permalink]
19 May 2016, 18:01

Happy New Year everyone! Before I get started on this post, and well, restarted on this blog in general, I wanted to mention something. For the past several months...

It’s quickly approaching two years since I last wrote anything on this blog. A lot has happened since then. When I last posted, I had just gotten back from...

Happy 2017! Here is another update, 7 months later. With this pace I might add only one more post before the end of the GSB! However, I promised that...

The words of John O’Donohue ring in my head every time I reflect on the transformative, euphoric, life-changing, demanding, emotional, and great year that 2016 was! The fourth to...