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:

Is the cost of an Organ more than the cost of a Flute ? [#permalink]

Show Tags

23 Nov 2011, 16:00

2

This post received KUDOS

5

This post was BOOKMARKED

00:00

A

B

C

D

E

Difficulty:

65% (hard)

Question Stats:

53% (02:39) correct
47% (01:19) wrong based on 101 sessions

HideShow timer Statistics

Is the cost of an Organ more than the cost of a Flute ?

(1) Three times the cost of an organ is $15 more than twice the cost of a Flute. (2) Five times the cost of an organ is $12 more than six time the cost of a Flute.

Let me try: X: Cost of the organ Y: Cost of the flute

1) \(3X - 2Y = 15\) Two variables, one equation, not enough.

2) \(5X - 6Y = 12\) It seems the same as in 1) But, let's divide the equation by 6.

\(\frac{5X}{6} - Y = 2\)

So, if we had \(x - y\), the result would be greater than 2.

Answer: B

What do you think?

Thanks. Wasn't 100% clear before, since 2nd equation too got 2 variables. I took both the equations to solve and ended up in the trap answer C. Here the logic is 5/6 is less than 1 and still X possess a greater value as the answer is 2. Right?

Thanks metallicafan
_________________

If u think this post is useful plz feed me with a kudo

Let me try: X: Cost of the organ Y: Cost of the flute

1) \(3X - 2Y = 15\) Two variables, one equation, not enough.

2) \(5X - 6Y = 12\) It seems the same as in 1) But, let's divide the equation by 6.

\(\frac{5X}{6} - Y = 2\)

So, if we had \(x - y\), the result would be greater than 2.

Answer: B

What do you think?

Thanks. Wasn't 100% clear before, since 2nd equation too got 2 variables. I took both the equations to solve and ended up in the trap answer C. Here the logic is 5/6 is less than 1 and still X possess a greater value as the answer is 2. Right?

Thanks metallicafan

Right. Maybe it is not the most elegant solution, but it is what I would do. I am sure that there is a better way to solve it.
_________________

"Life’s battle doesn’t always go to stronger or faster men; but sooner or later the man who wins is the one who thinks he can."

My Integrated Reasoning Logbook / Diary: http://gmatclub.com/forum/my-ir-logbook-diary-133264.html

Is the cost of an Organ more than the cost of a Flute ?

A) Three times the cost of an organ is $15 more than twice the cost of a Flute. B) Five times the cost of an organ is $12 more than six time the cost of a Flute.

IMO its B. This is how i solved it...

S1: 3M = 15+2F => M = 5+0.66F.. In this equation as we are getting the decreased value in terms of 0.66F. So insufficient. For example F can be 100 so M = 71 or if F = 12, M becomes 23.

S2: 5M = 12+6F => M = 2.4+1.2F. Here for whatever may be the value of the flute is Organ price is always greater as 1.2F will always be greater than F. Sufficient.

Yes this can be solved using logic. The above 2 explanation is just to illustrate how the logic works. There are chances for beginners to go with the trap answer option C. +1 to you.
_________________

If u think this post is useful plz feed me with a kudo

Is the cost of an Organ more than the cost of a Flute ?

A) Three times the cost of an organ is $15 more than twice the cost of a Flute. B) Five times the cost of an organ is $12 more than six time the cost of a Flute.

Re: Is the cost of an Organ more than the cost of a Flute ? [#permalink]

Show Tags

16 Jun 2016, 06:54

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.
_________________

Is the cost of an orange more than the cost of an apple?

1) Three times the cost of an orange is 15 more than twice the cost of an apple

2) Five times the cost of an orange is 12 more than six times the cost of an apple

press kudos, if you like the question, appreciate the effort or encourage people to post.

I like this one! It's a good illustration of why you want to always translate GMAT DS word problems into DS algebra problems, before you start working through them. Here's my translation:

Q: Is o > a?

(1) 3o = 15 + 2a

(2) 5o = 12 + 6a

From here, you could either test numbers immediately, or simplify. I lean towards simplifying, myself - it makes it easier to see which numbers you can pick, if you decide to go that route. Simplify so that o is by itself:

(1) o = 5 + 2/3 a

(2) o = 2.4 + 6/5 a

At this point, you can either test numbers or use logic. To test numbers, try picking some extremes: a very small value for a, and a very large value for a.

Statement 1:

a = 3, o = 5 + 2 = 7. Answer is 'yes' a = 300, o = 5 + 200 = 205. Answer is 'no'

Insufficient.

Statement 2:

a = 5, o = 2.4 + 6 = 8.4. Answer is 'yes' a = 500, o = 2.4 + 600 = 602.4. Answer is 'yes'

Notice that the second term is always coming out bigger than a - so the answer should always be 'yes'. Sufficient.

====

Or, use some reasoning: in (1), 2/3 a could be either very close to the value of a, or very far away. You don't know if the +5 will make it larger, or make it stay smaller. But in (2), 6/5 a will always be bigger than a, so the answer will always be 'yes' regardless of what you add to it.
_________________

Chelsey Cooley | Manhattan Prep Instructor | Seattle and Online

There’s something in Pacific North West that you cannot find anywhere else. The atmosphere and scenic nature are next to none, with mountains on one side and ocean on...

Joe Navarro is an ex FBI agent who was a founding member of the FBI’s Behavioural Analysis Program. He was a body language expert who he used his ability to successfully...