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:

Re: DS GMAT PREP 2 [#permalink]
03 May 2010, 02:07

My few cents

1. Considering the set formula

U - union ^ - Intersection AUBUC = A + B + C - [A^C] - [A^B] - [B^C] + A^B^C

We have all the values given in the brackets. We need A^B^C

1st clause (if we draw a diagram its easier) It gives A^B = 16 out of which 9 are in C. i.e. indirectly its giving (A^B)^C and thats what we want A^B^C = 9 (** imp)

2nd clause gives A , B and C values but as we do not know AUBUC (according to formula) we cannot calculate A^B^C.

Hence the answer is A

3. Formulating using the given formula

20 S.P. - 20 C.P = Gross Profit.

1st clause says that Gross Profit = 2400 if S.P = 2 C.P ( ** imp step) i.e (20*2 *C.P) - 20*C.P = 2400 Hence C.P = 120 and S.P = 240 to get a profit of 2400. However we cannot come to any consensus about the Gross Profit really earned as we cannot derive anything about current C.P or S.P.

2nd Clause

Suppose actual S.P = C.P + x According to conditions 20 * ( C.P. + x + 2) - 20 * C.P = 440 Therefore, 20x + 40 = 440 x = 20 Therefore original S.P = C.P. + 20 And Gross Profit = 20 * (C.P+ 20) - 20 * C.P G.P = 400 $

Re: DS GMAT PREP 2 [#permalink]
03 May 2010, 23:28

You can directly take 20 (S.P. + 2) - 20 C.P = 440 that gives (S.P. - C.P) = 20 That is the profit for single item We have 20 items hence the Gross Profit = 20 * 20 = 400 $.

In fact more suitably 20 S.P - 20 .C.P = 400 $ and here LHS is what we have assumed as our formula. I hope this is a better alternative to understand.

Re: DS GMAT PREP 2 [#permalink]
04 May 2010, 12:35

Reply for inequality question number 2:

Simplify question: taking the square root of (x-5)² is equal to consider solutions for the absolute value of x-5

|x-5| could equal either x-5 or 5-x, in other words we need to determine whether x is positive or negative to answer the question

Statement 1: sufficient as we are told that -x multiplied by the absolue value of x is negative. that means that on of -x or |x| is negative and the other is positive. As |x| HAS to be positive then -x is negative. We therefore know that x is positive and can answer the question with NO.

Statement 2: I cannot understand here why this one is sufficient. If we simplify this statement we get x < 5 which i believe is not sufficient alone.

Re: DS GMAT PREP 2 [#permalink]
04 May 2010, 14:14

Expert's post

1

This post was BOOKMARKED

nifoui wrote:

Reply for inequality question number 2:

Simplify question: taking the square root of (x-5)² is equal to consider solutions for the absolute value of x-5

|x-5| could equal either x-5 or 5-x, in other words we need to determine whether x is positive or negative to answer the question

Statement 1: sufficient as we are told that -x multiplied by the absolue value of x is negative. that means that on of -x or |x| is negative and the other is positive. As |x| HAS to be positive then -x is negative. We therefore know that x is positive and can answer the question with NO.

Statement 2: I cannot understand here why this one is sufficient. If we simplify this statement we get x < 5 which i believe is not sufficient alone.

Can someone help???

Thx!

Is \(\sqrt{(x-5)^2}=5-x\)?

Remember: \(\sqrt{x^2}=|x|\).

So "is \(\sqrt{(x-5)^2}=5-x\)?" becomes: is \(|x-5|=5-x\)?

Now LHS=sqrt=absolute value>=0, (\(LHS\geq{0}\), as absolute value is never negative), hence RHS also must be more than zero --> \(RHS=5-x\geq{0}\) --> \(x\leq{5}\).

For \(x\leq{5}\) --> \(\{RHS=|x-5|=5-x\}=\{LHS=5-x\}\). So we have that if \(x\leq{5}\), then \(|x-5|=5-x\) is true.

Basically question asks is \(x\leq{5}\)?

(1) \(-x|x| > 0\) --> \(|x|\) is never negative (positive or zero), so in order to have \(-x|x| > 0\), \(-x\) must be positive \(-x>0\) --> \(x<0\). Sufficient.

Re: Is root(5-x)^2=5-x? [#permalink]
16 Jun 2015, 15:40

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. _________________

Low GPA MBA Acceptance Rate Analysis Many applicants worry about applying to business school if they have a low GPA. I analyzed the low GPA MBA acceptance rate at...

Every student has a predefined notion about a MBA degree:- hefty packages, good job opportunities, improvement in position and salaries but how many really know the journey of becoming...