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 350,000 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:

Two teams are distributing information booklets. Team A dist [#permalink]
05 Jun 2013, 12:52

2

This post received KUDOS

6

This post was BOOKMARKED

00:00

A

B

C

D

E

Difficulty:

85% (hard)

Question Stats:

57% (02:37) correct
43% (08:52) wrong based on 229 sessions

Two teams are distributing information booklets. Team A distributes 60% more boxes of booklets than Team B, but each box of Team A’s has 60% fewer booklets than each box of Team B’s. Which of the following could be the total number of booklets distributed by the two groups?

Re: Two teams are distributing information booklets. Team A dist [#permalink]
05 Jun 2013, 20:44

1

This post received KUDOS

3

This post was BOOKMARKED

Let x be the no of booklets in each box that team B distributes. So, Team A has 60% fewer - 0.4x. Let y be the no. of boxes distributed by team B. So, Team A distributes 60% more - 1.6y Total booklets distributed by team A = xy Total booklets distributed by team B=0.64xy Total booklets distributed = xy+0.64xy=1.64xy

As no. of booklets can only be integer, plugging the answer choice equal to 1.64xy should give an integer.

Choice A - 1.64xy=2000; xy=2000/1.64 = doesn't provide an integer value. Similarly all answer choices, except choice C, fail to provide an integer value. Choice C = 4100/1.64= 2500 and is the correct answer.

Re: Two teams are distributing information booklets. Team A dist [#permalink]
06 Jun 2013, 00:01

6

This post received KUDOS

Expert's post

1

This post was BOOKMARKED

josemarioamaya wrote:

Two teams are distributing information booklets. Team A distributes 60% more boxes of booklets than Team B, but each box of Team A’s has 60% fewer booklets than each box of Team B’s. Which of the following could be the total number of booklets distributed by the two groups?

A. 2,000 B. 3,200 C. 4,100 D. 4,800 E. 4,900

{boxes by A} = {boxes by B}*1.6; {booklets in box for A} = {booklets in box for B}*0.4;

Total booklets = = {booklets in box for A}*{boxes by A} + {booklets in box for B}*{boxes by B} = = {booklets in box for B}*0.4*{boxes by B}*1.6 + {booklets in box for B}*{boxes by B} = = {booklets in box for B}*{boxes by B}(0.64+1) = = {booklets in box for B}*{boxes by B}*1.64 = = {booklets in box for B}*{boxes by B}*41/25.

So, we have that the total number of booklets must be a multiple of 41. Only C is a multiple of 41.

Re: Two teams are distributing information booklets. Team A dist [#permalink]
11 Nov 2013, 02:04

can you explain how

= {booklets in box for A}*{boxes by A}*1.64 = = {booklets in box for A}*{boxes by A}*41/25.

1.64 --> 41/25

Since the decimal is a 1.xx, you had to get it to 100. So did you have 164 / 100 and then simplify to 41/25. How do we know that a 41 in the numerator means that the answer choice must have 41 as a factor??

Re: Two teams are distributing information booklets. Team A dist [#permalink]
11 Nov 2013, 02:15

Expert's post

laserglare wrote:

can you explain how

= {booklets in box for A}*{boxes by A}*1.64 = = {booklets in box for A}*{boxes by A}*41/25.

1.64 --> 41/25

Since the decimal is a 1.xx, you had to get it to 100. So did you have 164 / 100 and then simplify to 41/25. How do we know that a 41 in the numerator means that the answer choice must have 41 as a factor??

\(1.64=1\frac{64}{100}=1\frac{16}{25}=\frac{25+16}{25}=\frac{41}{25}\) (notice that 41/25 is reduced to its lowest term).

So, we have that:

{Total booklets} = {booklets in box for B}*{boxes by B}*41/25 = ({booklets in box for B}*{boxes by B}/25)*41 = {integer}*41 = {a multiple of 41}.

Re: Two teams are distributing information booklets. Team A dist [#permalink]
17 Dec 2013, 13:00

Bunuel wrote:

josemarioamaya wrote:

Two teams are distributing information booklets. Team A distributes 60% more boxes of booklets than Team B, but each box of Team A’s has 60% fewer booklets than each box of Team B’s. Which of the following could be the total number of booklets distributed by the two groups?

A. 2,000 B. 3,200 C. 4,100 D. 4,800 E. 4,900

{boxes by B} = {boxes by A}*1.6; {booklets in box for B} = {booklets in box for A}*0.4;

Doesn't the equation above mean that Team B distributes more boxes than Team A and that Team B has less booklets per box than Team A? I thought the question says that Team A distributes more boxes than Team B and that Team A has fewer booklets per box than Team B. Am I missing something?

Re: Two teams are distributing information booklets. Team A dist [#permalink]
17 Dec 2013, 22:29

3

This post received KUDOS

Expert's post

2

This post was BOOKMARKED

josemarioamaya wrote:

Two teams are distributing information booklets. Team A distributes 60% more boxes of booklets than Team B, but each box of Team A’s has 60% fewer booklets than each box of Team B’s. Which of the following could be the total number of booklets distributed by the two groups?

A. 2,000 B. 3,200 C. 4,100 D. 4,800 E. 4,900

Team A boxes:team B boxes = 160:100 = 8:5 Hence, Team A distributes 8a boxes while team B distributes 5a boxes.

Team A booklets per box: Team B booklets per box = 40:100 = 2:5 (since 60% fewer means 40%) Team A's boxes have 2b booklets each while team B's have 5b each.

Total number of booklets = 16ab + 25ab = 41ab

a and b must be integers so the correct answer must be divisible by 41. Answer (C) _________________

Re: Two teams are distributing information booklets. Team A dist [#permalink]
18 May 2014, 14:58

1

This post received KUDOS

Bunuel wrote:

josemarioamaya wrote:

Two teams are distributing information booklets. Team A distributes 60% more boxes of booklets than Team B, but each box of Team A’s has 60% fewer booklets than each box of Team B’s. Which of the following could be the total number of booklets distributed by the two groups?

A. 2,000 B. 3,200 C. 4,100 D. 4,800 E. 4,900

{boxes by B} = {boxes by A}*1.6; {booklets in box for B} = {booklets in box for A}*0.4;

Total booklets = = {booklets in box for A}*{boxes by A} + {booklets in box for B}*{boxes by B} = = {booklets in box for A}*{boxes by A} +{booklets in box for A}*0.4*{boxes by A}*1.6 = = {booklets in box for A}*{boxes by A}(1+0.64) = = {booklets in box for A}*{boxes by A}*1.64 = = {booklets in box for A}*{boxes by A}*41/25.

So, we have that the total number of booklets must be a multiple of 41. Only C is a multiple of 41.

Answer: C.

Hope it's clear.

Hi Bunuel,

I'm having a hard time following this transition:

= {booklets in box for A}*{boxes by A} + {booklets in box for B}*{boxes by B} = = {booklets in box for A}*{boxes by A} + {booklets in box for A}*0.4*{boxes by A}*1.6 =

My original relationship was:

Booklets in A = 1.6 (Booklets in B) Boxes in A = .4(Boxes in B)

Therefore, shouldn't Booklets in B = Booklets in A/1.6? and the same theory for Boxes in B?

Re: Two teams are distributing information booklets. Team A dist [#permalink]
19 May 2014, 01:02

Expert's post

russ9 wrote:

Bunuel wrote:

josemarioamaya wrote:

Two teams are distributing information booklets. Team A distributes 60% more boxes of booklets than Team B, but each box of Team A’s has 60% fewer booklets than each box of Team B’s. Which of the following could be the total number of booklets distributed by the two groups?

A. 2,000 B. 3,200 C. 4,100 D. 4,800 E. 4,900

{boxes by B} = {boxes by A}*1.6; {booklets in box for B} = {booklets in box for A}*0.4;

Total booklets = = {booklets in box for A}*{boxes by A} + {booklets in box for B}*{boxes by B} = = {booklets in box for A}*{boxes by A} +{booklets in box for A}*0.4*{boxes by A}*1.6 = = {booklets in box for A}*{boxes by A}(1+0.64) = = {booklets in box for A}*{boxes by A}*1.64 = = {booklets in box for A}*{boxes by A}*41/25.

So, we have that the total number of booklets must be a multiple of 41. Only C is a multiple of 41.

Answer: C.

Hope it's clear.

Hi Bunuel,

I'm having a hard time following this transition:

= {booklets in box for A}*{boxes by A} + {booklets in box for B}*{boxes by B} = = {booklets in box for A}*{boxes by A} + {booklets in box for A}*0.4*{boxes by A}*1.6 =

My original relationship was:

Booklets in A = 1.6 (Booklets in B) Boxes in A = .4(Boxes in B)

Therefore, shouldn't Booklets in B = Booklets in A/1.6? and the same theory for Boxes in B?

Thanks!

Yes, there was a typo mixing A and B. Edited. It should read:

{boxes by A} = {boxes by B}*1.6; {booklets in box for A} = {booklets in box for B}*0.4.

Re: Two teams are distributing information booklets. Team A dist [#permalink]
19 May 2014, 17:40

Bunuel wrote:

russ9 wrote:

Bunuel wrote:

{boxes by B} = {boxes by A}*1.6; {booklets in box for B} = {booklets in box for A}*0.4;

Total booklets = = {booklets in box for A}*{boxes by A} + {booklets in box for B}*{boxes by B} = = {booklets in box for A}*{boxes by A} +{booklets in box for A}*0.4*{boxes by A}*1.6 = = {booklets in box for A}*{boxes by A}(1+0.64) = = {booklets in box for A}*{boxes by A}*1.64 = = {booklets in box for A}*{boxes by A}*41/25.

So, we have that the total number of booklets must be a multiple of 41. Only C is a multiple of 41.

Answer: C.

Hope it's clear.

Hi Bunuel,

I'm having a hard time following this transition:

= {booklets in box for A}*{boxes by A} + {booklets in box for B}*{boxes by B} = = {booklets in box for A}*{boxes by A} + {booklets in box for A}*0.4*{boxes by A}*1.6 =

My original relationship was:

Booklets in A = 1.6 (Booklets in B) Boxes in A = .4(Boxes in B)

Therefore, shouldn't Booklets in B = Booklets in A/1.6? and the same theory for Boxes in B?

Thanks!

Yes, there was a typo mixing A and B. Edited. It should read:

{boxes by A} = {boxes by B}*1.6; {booklets in box for A} = {booklets in box for B}*0.4.

Thank you.

Great. Thanks for clarifying.

Lastly, I see how you derived the 41/20 and how that leads to 4100. Why/How can we completely ignore the 20 in trying to find a suitable number?

P.S: I think the highlighted part is still a typo but I get the point. Thanks again for your help.

Re: Two teams are distributing information booklets. Team A dist [#permalink]
19 May 2014, 20:40

Let us take No of boxes distributed by A is a and by B is b. Also take number of booklets in the boxes distributed by A is x and by B is y. Since Team A distributes 60% more boxes of booklets than Team B A = 1.6B Again ,each box of Team A’s has 60% fewer booklets than each box of Team B’s x = 0.4y Number of booklets = Number of boxes X number of booklets in each box Total Booklets distributed by A = Ax Total Booklets distributed by B = By Total booklets distributed = Ax + By =1.6B*0.4y + By = 1.64By

Since number of boxes, booklets in each box and total booklets distributed are integers, we have to find those values which after equating to 1.64By gives integer value of By. In other words, we have to find that value which when divided by 1.64 gives an integer value. Only option C gives an integer value when divided by 1.64.

Re: Two teams are distributing information booklets. Team A dist [#permalink]
19 May 2014, 23:55

Expert's post

russ9 wrote:

Bunuel wrote:

russ9 wrote:

Hi Bunuel,

I'm having a hard time following this transition:

= {booklets in box for A}*{boxes by A} + {booklets in box for B}*{boxes by B} = = {booklets in box for A}*{boxes by A} + {booklets in box for A}*0.4*{boxes by A}*1.6 =

My original relationship was:

Booklets in A = 1.6 (Booklets in B) Boxes in A = .4(Boxes in B)

Therefore, shouldn't Booklets in B = Booklets in A/1.6? and the same theory for Boxes in B?

Thanks!

Yes, there was a typo mixing A and B. Edited. It should read:

{boxes by A} = {boxes by B}*1.6; {booklets in box for A} = {booklets in box for B}*0.4.

Thank you.

Great. Thanks for clarifying.

Lastly, I see how you derived the 41/20 and how that leads to 4100. Why/How can we completely ignore the 20 in trying to find a suitable number?

P.S: I think the highlighted part is still a typo but I get the point. Thanks again for your help.

Two teams are distributing information booklets. Team A dist [#permalink]
05 Dec 2014, 19:56

Two teams are distributing information booklets. Team A distributes 60% more boxes of booklets than Team B, but each box of Team A’s has 60% fewer booklets than each box of Team B’s. Which of the following could be the total number of booklets distributed by the two groups?

A. 2,000 B. 3,200 C. 4,100 D. 4,800 E. 4,900

Answer:

Box A: x Box B: x/1.6

Booklet A: 0.4n BookletB: n

Total number of booklets = T = x*0.4n + x/1.6*n = xn * 41/40 => xn = (T * 40)/41. xn MUST be an integer => T must be divisible by 41 => C

Re: Two teams are distributing information booklets. Team A dist [#permalink]
06 Dec 2014, 06:42

VeritasPrepKarishma wrote:

josemarioamaya wrote:

Two teams are distributing information booklets. Team A distributes 60% more boxes of booklets than Team B, but each box of Team A’s has 60% fewer booklets than each box of Team B’s. Which of the following could be the total number of booklets distributed by the two groups?

A. 2,000 B. 3,200 C. 4,100 D. 4,800 E. 4,900

Team A boxes:team B boxes = 160:100 = 8:5 Hence, Team A distributes 8a boxes while team B distributes 5a boxes.

Team A booklets per box: Team B booklets per box = 40:100 = 2:5 (since 60% fewer means 40%) Team A's boxes have 2b booklets each while team B's have 5b each.

Total number of booklets = 16ab + 25ab = 41ab

a and b must be integers so the correct answer must be divisible by 41. Answer (C)

Re: Two teams are distributing information booklets. Team A dist [#permalink]
07 Dec 2014, 19:50

1

This post received KUDOS

Expert's post

haihai89 wrote:

VeritasPrepKarishma wrote:

josemarioamaya wrote:

Two teams are distributing information booklets. Team A distributes 60% more boxes of booklets than Team B, but each box of Team A’s has 60% fewer booklets than each box of Team B’s. Which of the following could be the total number of booklets distributed by the two groups?

A. 2,000 B. 3,200 C. 4,100 D. 4,800 E. 4,900

Team A boxes:team B boxes = 160:100 = 8:5 Hence, Team A distributes 8a boxes while team B distributes 5a boxes.

Team A booklets per box: Team B booklets per box = 40:100 = 2:5 (since 60% fewer means 40%) Team A's boxes have 2b booklets each while team B's have 5b each.

Total number of booklets = 16ab + 25ab = 41ab

a and b must be integers so the correct answer must be divisible by 41. Answer (C)

Re: Two teams are distributing information booklets. Team A dist [#permalink]
08 Dec 2014, 11:58

Bunuel can you plz help me out here, I also followed the same approach that most people had, but with some difference in the end: I multiplied the total number of boxes and total booklets in each box

Team B=x boxes, so team A = 1.6 x boxes (1.6x+x=2.6x boxes) Team B = y booklets/box, so team A=0.4 Y (1.4y booklets/box)

I multiplied 2.6x into 1.4y and got answer 3.64xy which simplifies into 91/25. I cant figure out why cant this give me the correct answer. Thanks in advance !

Re: Two teams are distributing information booklets. Team A dist [#permalink]
09 Dec 2014, 07:40

Expert's post

sunaimshadmani wrote:

Bunuel can you plz help me out here, I also followed the same approach that most people had, but with some difference in the end: I multiplied the total number of boxes and total booklets in each box

Team B=x boxes, so team A = 1.6 x boxes (1.6x+x=2.6x boxes) Team B = y booklets/box, so team A=0.4 Y (1.4y booklets/box)

I multiplied 2.6x into 1.4y and got answer 3.64xy which simplifies into 91/25. I cant figure out why cant this give me the correct answer. Thanks in advance !

Say you have 2 red and 3 blue boxes. The number of booklets in each red box is 1 and the number of booklets in each blue box is 2. What is the total number of booklets? Is it 2*1 + 3*2 = 8 or (2 + 3)(1 + 2) = 10? _________________

: Social ventures, both non-profits and for-profits, seek to better the world in such industries as education, microfinance, workforce development, public health and community development, among others. Organizations that...

Essay B for Stanford GSB will essentially ask you to explain why you’re doing what you’re doing. Namely, the essay wants to know, A) why you’re seeking...

Over the last week my Facebook wall has been flooded with most positive, almost euphoric emotions: “End of a fantastic school year”, “What a life-changing year it’s been”, “My...