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:

At a loading dock, each worker on the night crew loaded 3/4 [#permalink]

Show Tags

26 Mar 2012, 03:55

1

This post was BOOKMARKED

1. At a loading dock, each worker on the night crew loaded 3/4 as many boxes as each worker on the day crew, If the night crew has 4/5 as many workers as the day crew , what fraction of all the boxes loaded by the two crews did the day crew load?

A. 1/2 B. 2/5 C. 3/5 D. 4/5 E. 5/8

2. As x increases from 165 to 166, which of the following must increse?

I. 2x-5 II. 1-1/x III. 1/(x^2-x)

A. I only B. III only C. I and II D. I and III E. II and III

Re: OG Problems - Need help to understand the solution. [#permalink]

Show Tags

26 Mar 2012, 04:14

3

This post received KUDOS

Expert's post

1

This post was BOOKMARKED

gayathriz wrote:

1. At a loading dock, each worker on the night crew loaded 3/4 as many boxes as each worker on the day crew, If the night crew has 4/5 as many workers as the day crew , what fraction of all the boxes loaded by the two crews did the day crew load?

A. 1/2

B. 2/5

C. 3/5

D. 4/5

E. 5/8

2. As x Increases from 165 to 166,which of the following must increse?

I. 2x-5

II. 1-1/x

III. 1/square of x - x

A) I only

B) III only

C) I and II

D) I and III

E) II and III

Q #1: At a loading dock, each worker on the night crew loaded 3/4 as many boxes as each worker on the day crew. If the night crew has 4/5 as many workers as the day crew, what fraction of all the boxes loaded by the two crews did the day crew load? A. 1/2 B. 2/5 C. 3/5 D. 4/5 E. 5/8

Pick some smart numbers. Let the day crew has 5 workers and each day crew worker loads 4 boxes, so total boxes loaded by the day crew is 5*4=20;

Then the night crew would have 5*4/5=4 workers and each night crew worker would load 4*3/4=3 boxes, so total boxes loaded by the night crew would be 4*3=12;

No. of workers------------------------------------(4/5)y---------------y

No. of boxes loaded by each worker ----------(3/4)x-----------------x

Total No of boxes loaded ----------------------(4/5)(3/4)xy-------xy

Now we are asked ratio of TOTAL NO OF BOX LOADED DAY / (TOTAL NO OF BOX LOADED DAY + TOTAL NO OF BOX LOADED NIGHT)

XY/(XY+(3/5)XY) ----------> (XY/1) / (8XY/5) --------> 5/8 ----------> E

Q2) Answer C

I) in 2x-5 if x increase by 1 then equation will be 2(x+1)-5. If x is positive the equation will increase by 2 and if x is negative the equation will decrease by 2. We are given in ques that x increased from 165 to 166 that means x is positive so the equation will increase by 2. Eliminate B and E

II) 1-(1/x) now this equation will increase if 1/x decrease and 1/x will decrease if x increase. x is increased so this equation is also sure to increase. Eliminate A. Now Option D will also get eliminated because it does not contain II, so from here we do not need to proceed to check III. The correct choice is C. However for the study part we will check III

III) 1/(X^2-x) -------> 1/x(x-1) -------> we know as denominator increased the fraction decreases. in this case with the increase in x the denominator increases and the fraction decreases. so this equation will not increase with an increase in X.

Re: At a loading dock, each worker on the night crew loaded 3/4 [#permalink]

Show Tags

26 Mar 2012, 04:22

Expert's post

Q#2: As x increases from 165 to 166, which of the following must increse?

I. 2x-5 II. 1-1/x III. 1/(x^2-x)

A. I only B. III only C. I and II D. I and III E. II and III

I. \(2x - 5\) --> \(x\) increases from 165 to 166 --> \(2x\) increases --> \(2x-5\) increases. Correct.

II. \(1-\frac{1}{x}\) --> \(x\) increases from 165 to 166 --> \(\frac{1}{x}\) decreases --> \(1-\frac{1}{x}\) increases. Correct.

At this point you can stop and even not consider III, since only answer choice to have both I and II is C.

Still if interested: III. \(\frac{1}{x^2-x}\) --> \(x\) increases from 165 to 166 --> \(x^2\) increases more than \(x\) --> \(x^2-x\) increases --> \(\frac{1}{x^2-x}\) decreases.

Answer: C.

P.S. Pleas post ONE QUESTION PER TOPIC. _________________

Re: At a loading dock, each worker on the night crew loaded 3/4 [#permalink]

Show Tags

16 Feb 2013, 22:02

1. We have to pick a no. for eg 20 (LCM of 4 and 5) and form a rough matrix: Night crew Day crew Boxes 3/4*20=15 20 Team size 4/5*20=16 20 Proportion of boxes loaded by day crew= 400/640=5/8 =Option E Boxes per crew 15*16=240 400

2. We have plug in 165 and 166 in I, as it satisfies the question eliminate option C and E and check by plugging in the values in II and III. we will find option C is the answer.

Excellent posts dLo saw your blog too..!! Man .. you have got some writing skills. And Just to make an argument = You had such an amazing resume ; i am glad...

So Much $$$ Business school costs a lot. This is obvious, whether you are a full-ride scholarship student or are paying fully out-of-pocket. Aside from the (constantly rising)...

They say you get better at doing something by doing it. then doing it again ... and again ... and again, and you keep doing it until one day you look...

I barely remember taking decent rest in the last 60 hours. It’s been relentless with submissions, birthday celebration, exams, vacating the flat, meeting people before leaving and of...