GMAT Club Forum - Forums > Data Sufficiency (DS) https://gmatclub.com:443/forum/index.php Join the largest GMAT and MBA community at GMAT Club. Get expert advice, free tests, questions and admission tips. Boost your GMAT score and MBA chances en-gb Copyright (c) 2002 GMAT Club Forum mail@gmatclub.com (GMAT Club Forum) mail@gmatclub.com (GMAT Club Forum) Sat, 27 Apr 2024 00:00:00 -0800 Sat, 27 Apr 2024 15:48:57 -0800 MSSTI RSS Feed 2.0 Version 1.0.9 - (C) 2008-2009 leviatan21 - http://www.mssti.com/ GMAT Club Forum - Forums > Data Sufficiency (DS) https://gmatclub.com:443/forum/tps://cdn.gmatclub.com/cdn/files/forum/styles/gmatclub_light/imageset/site_logo.gif https://gmatclub.com:443/forum/index.php 60 Data Sufficiency (DS) | Re: Each of the 45 books on a shelf is written either in English or in Spa https://gmatclub.com:443/forum/viewtopic.php?p=3389532#p3389532
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.

Statistics : Posted by bumpbot • on Dec 23, 2015 9:16 pm • Replies 21 • Views 43990


]]>

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.]]>
(bumpbot)Sat, 27 Apr 2024 12:17:10 -0800https://gmatclub.com:443/forum/viewtopic.php?p=3389532#p3389532
Data Sufficiency (DS) | Is the median of the a + b quiz scores greater than the mean of the  https://gmatclub.com:443/forum/viewtopic.php?p=3389528#p3389528
Quote:
 
[align=center]Image
...

Statistics : Posted by nisen20 • on Feb 14, 2024 8:16 am • Replies 7 • Views 1919


]]>
Quote:
 
[align=center]Image
...]]> (nisen20)Sat, 27 Apr 2024 11:40:28 -0800https://gmatclub.com:443/forum/viewtopic.php?p=3389528#p3389528 Data Sufficiency (DS) | Re: A cafeteria offers seven types of sandwiches, each with a fixed price https://gmatclub.com:443/forum/viewtopic.php?p=3389517#p3389517
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.

Statistics : Posted by bumpbot • on Feb 08, 2017 8:51 am • Replies 6 • Views 4742


]]>

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.]]>
(bumpbot)Sat, 27 Apr 2024 11:07:31 -0800https://gmatclub.com:443/forum/viewtopic.php?p=3389517#p3389517
Data Sufficiency (DS) | The amount of water in a salt water sugar solution is increased by 2/5 https://gmatclub.com:443/forum/viewtopic.php?p=3389514#p3389514 ­The amount of water in a salt water sugar solution is increased by 2/5. Before the increase, what was the ratio of the weight of water to the weight of thesolution?

Let

W = Orignal Water Weight

S = Sugar Weight

T = Original Total Weight

Information given:

W is increased to 7/5 *W.

S1) Due to the addition of water, the ratio of weight of the sugar in the solution to the weight of the solution decreases from 1/4to 1/5.

This information tells us that the increase in the amount of water in the solution increased the total amount of solution by 1/4.

After all, if 

S = 1/4 * T

and 

S = 1/5 * (T + 2/5 * W)

then,

1/4 * T = 1/5 * (T + 2/5 * W)

5/4 * T = (T + 2/5 * W)

So,

1/4 * T = 2/5 * W

We could solve that to find the relationship between W andT.

Sufficient.

S2) After the addition of water, the ratio of the weight of water in the solution to the weight of the solutionbecomes 7/10.

Here we have 7/5 * W = 7/10 * (T + 2/5 * W).

We could solve that to find the
...

Statistics : Posted by MartyMurray • on Dec 04, 2021 6:59 pm • Replies 10 • Views 4920


]]>
­The amount of water in a salt water sugar solution is increased by 2/5. Before the increase, what was the ratio of the weight of water to the weight of thesolution?

Let

W = Orignal Water Weight

S = Sugar Weight

T = Original Total Weight

Information given:

W is increased to 7/5 *W.

S1) Due to the addition of water, the ratio of weight of the sugar in the solution to the weight of the solution decreases from 1/4to 1/5.

This information tells us that the increase in the amount of water in the solution increased the total amount of solution by 1/4.

After all, if 

S = 1/4 * T

and 

S = 1/5 * (T + 2/5 * W)

then,

1/4 * T = 1/5 * (T + 2/5 * W)

5/4 * T = (T + 2/5 * W)

So,

1/4 * T = 2/5 * W

We could solve that to find the relationship between W andT.

Sufficient.

S2) After the addition of water, the ratio of the weight of water in the solution to the weight of the solutionbecomes 7/10.

Here we have 7/5 * W = 7/10 * (T + 2/5 * W).

We could solve that to find the
...]]>
(MartyMurray)Sat, 27 Apr 2024 11:01:30 -0800https://gmatclub.com:443/forum/viewtopic.php?p=3389514#p3389514
Data Sufficiency (DS) | Re: In the first hour of a bake sale, students sold either cho https://gmatclub.com:443/forum/viewtopic.php?p=3389478#p3389478
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.

Statistics : Posted by bumpbot • on Jun 09, 2013 2:04 am • Replies 14 • Views 12951


]]>

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.]]>
(bumpbot)Sat, 27 Apr 2024 07:52:22 -0800https://gmatclub.com:443/forum/viewtopic.php?p=3389478#p3389478
Data Sufficiency (DS) | Re: What is the value of x? https://gmatclub.com:443/forum/viewtopic.php?p=3389477#p3389477
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.

Statistics : Posted by bumpbot • on Jun 01, 2015 2:59 pm • Replies 8 • Views 4693


]]>

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.]]>
(bumpbot)Sat, 27 Apr 2024 07:51:02 -0800https://gmatclub.com:443/forum/viewtopic.php?p=3389477#p3389477
Data Sufficiency (DS) | Re: If x and y are positive integers, what is the greatest common divisor https://gmatclub.com:443/forum/viewtopic.php?p=3389452#p3389452
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.

Statistics : Posted by bumpbot • on Aug 23, 2010 6:27 pm • Replies 31 • Views 38090


]]>

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.]]>
(bumpbot)Sat, 27 Apr 2024 06:13:34 -0800https://gmatclub.com:443/forum/viewtopic.php?p=3389452#p3389452
Data Sufficiency (DS) | Re: Jim traveled from X to Y, and arrived at Z. If the average speed for https://gmatclub.com:443/forum/viewtopic.php?p=3389446#p3389446 Nidzo , Check the highlighted portion. I think you made a mistake there. Distance / speed = time...should be (a+b / 60)
Nidzo wrote:

poojaarora1818 wrote:
Jim traveled from X to Y, and arrived at Z. If the average speed for the whole trip was 60 miles per hour, what is the average speed for the journey from Y to Z?

(1) The average speed for the trip from X to Y is 55 miles per hour.
(2) It took Jim 0.5 hours from Y to Z.


IMO Option A is the correct one because Average speed is Total Distance/Total time and if the total average speed of the whole trip is 60 miles per hour. According to statement 1, the average speed for the trip from X to Y is 55 miles per hour. So, the average speed for the trip from Y to Z would be 60-55 = 5. 

Maybe, optionA


 

­poojaarora1818 be careful here. Without knowing anything about the distances one won't be able to solve this question. Just to demonstrate it quickly, I will focus on just statement (1). 

From the question stem we know that the average speed for the
...

Statistics : Posted by sayan640 • on Apr 09, 2024 8:30 am • Replies 4 • Views 516


]]> Nidzo , Check the highlighted portion. I think you made a mistake there. Distance / speed = time...should be (a+b / 60)
Nidzo wrote:

poojaarora1818 wrote:
Jim traveled from X to Y, and arrived at Z. If the average speed for the whole trip was 60 miles per hour, what is the average speed for the journey from Y to Z?

(1) The average speed for the trip from X to Y is 55 miles per hour.
(2) It took Jim 0.5 hours from Y to Z.


IMO Option A is the correct one because Average speed is Total Distance/Total time and if the total average speed of the whole trip is 60 miles per hour. According to statement 1, the average speed for the trip from X to Y is 55 miles per hour. So, the average speed for the trip from Y to Z would be 60-55 = 5. 

Maybe, optionA


 

­poojaarora1818 be careful here. Without knowing anything about the distances one won't be able to solve this question. Just to demonstrate it quickly, I will focus on just statement (1). 

From the question stem we know that the average speed for the
...]]> (sayan640)Sat, 27 Apr 2024 06:02:20 -0800https://gmatclub.com:443/forum/viewtopic.php?p=3389446#p3389446 Data Sufficiency (DS) | Driving at their respective constant speeds along the same route, https://gmatclub.com:443/forum/viewtopic.php?p=3389415#p3389415 ashdank94 wrote:

(r+24)t = r(t+1) (since V was driving an hour more ahead of A)
I think what I did wrong was substitute 4 into t, so I got r = 96.
 

­i'm not sure what r or t represents here, but 96 might be resulted from "names' gender issue" that is not a issue for native speakers but could be a big one for non-native speakers.

Quote:

 (1) Alfred overtook Violet 4 hours after she passed the landmark.

Alfred is a male name, and Violet is female.

\(4V = 3(V + 24)\)
\(V = 72\)

if you misunderstood that pronoun—she—belongs to Alfred, you would get \(5V = 4(V + 24)\) and \(V = 96\).
 ­

Statistics : Posted by nisen20 • on Dec 03, 2023 1:03 pm • Replies 8 • Views 2042


]]> ashdank94 wrote:

(r+24)t = r(t+1) (since V was driving an hour more ahead of A)
I think what I did wrong was substitute 4 into t, so I got r = 96.
 

­i'm not sure what r or t represents here, but 96 might be resulted from "names' gender issue" that is not a issue for native speakers but could be a big one for non-native speakers.

Quote:

 (1) Alfred overtook Violet 4 hours after she passed the landmark.

Alfred is a male name, and Violet is female.

\(4V = 3(V + 24)\)
\(V = 72\)

if you misunderstood that pronoun—she—belongs to Alfred, you would get \(5V = 4(V + 24)\) and \(V = 96\).
 ­]]> (nisen20)Sat, 27 Apr 2024 04:33:37 -0800https://gmatclub.com:443/forum/viewtopic.php?p=3389415#p3389415
Data Sufficiency (DS) | Re: For a class of 50 students, the table above reports the number of stud https://gmatclub.com:443/forum/viewtopic.php?p=3389385#p3389385
1616 wrote:

Image

For a class of 50 students, the table above reports the number of students who expected to receive an A, a B, or a C or below as well as the actual number of students who received each grade. How many students who expected to receive a C or below received a grade of C or below?

(1) Of the students who expected to receive an A or a B, 80% actually did receive an A or a B.

(2) Of the students who expected to receive a B, 6 students actually received a C or below.­

What was the point of giving actual grade in thetable?

The actual grades help to calculate how many students who expected to receive a C or below actually received a grade of C or below. Check the red parts below:

From (1), since 80% of students expecting an A or B actually received an A or B, then the remaining 20% received a C or below. Thus, 0.2(25 + 15) = 8 students, expecting an A or B, received a C or below. Since[color=#e74c3c] 14 students
...

Statistics : Posted by Bunuel • on Feb 12, 2020 5:50 pm • Replies 5 • Views 4738


]]>
1616 wrote:

Image

For a class of 50 students, the table above reports the number of students who expected to receive an A, a B, or a C or below as well as the actual number of students who received each grade. How many students who expected to receive a C or below received a grade of C or below?

(1) Of the students who expected to receive an A or a B, 80% actually did receive an A or a B.

(2) Of the students who expected to receive a B, 6 students actually received a C or below.­

What was the point of giving actual grade in thetable?

The actual grades help to calculate how many students who expected to receive a C or below actually received a grade of C or below. Check the red parts below:

From (1), since 80% of students expecting an A or B actually received an A or B, then the remaining 20% received a C or below. Thus, 0.2(25 + 15) = 8 students, expecting an A or B, received a C or below. Since[color=#e74c3c] 14 students
...]]>
(Bunuel)Sat, 27 Apr 2024 02:02:30 -0800https://gmatclub.com:443/forum/viewtopic.php?p=3389385#p3389385
Data Sufficiency (DS) | Re: Of 300 members in an organization, each German https://gmatclub.com:443/forum/viewtopic.php?p=3389383#p3389383 1616 wrote:

Hello Bunuel.

Can you please help me in decoding this line --> "each German speaker also speaks English"
Thanks in advance

­The line 'each German speaker also speaks English' means that anyone in the organization who speaks German is also able to speak English. Essentially, it means that in the diagram, the German circle is inside the English circle. Note, however, that this does not necessarily mean that all who speak English also speak German.

Statistics : Posted by Bunuel • on May 17, 2017 8:13 pm • Replies 3 • Views 2716


]]> 1616 wrote:

Hello Bunuel.

Can you please help me in decoding this line --> "each German speaker also speaks English"
Thanks in advance

­The line 'each German speaker also speaks English' means that anyone in the organization who speaks German is also able to speak English. Essentially, it means that in the diagram, the German circle is inside the English circle. Note, however, that this does not necessarily mean that all who speak English also speak German.]]> (Bunuel)Sat, 27 Apr 2024 01:49:19 -0800https://gmatclub.com:443/forum/viewtopic.php?p=3389383#p3389383
Data Sufficiency (DS) | Re: ­The table shows the sales forecast from January to June of last year https://gmatclub.com:443/forum/viewtopic.php?p=3389380#p3389380 Quote:

From January through June of last year, there was a constant, linear relationship between the forecast and actual number of units of Product Z sold.­

i think this is what linear relationship between the forecast and actual means.
Image­

Statistics : Posted by nisen20 • on Feb 07, 2024 2:14 am • Replies 12 • Views 2279


]]>
Quote:

From January through June of last year, there was a constant, linear relationship between the forecast and actual number of units of Product Z sold.­

i think this is what linear relationship between the forecast and actual means.
Image­]]>
(nisen20)Sat, 27 Apr 2024 01:41:01 -0800https://gmatclub.com:443/forum/viewtopic.php?p=3389380#p3389380
Data Sufficiency (DS) | Re: (|x| - 1)/(x - 1) =? https://gmatclub.com:443/forum/viewtopic.php?p=3389358#p3389358
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.

Statistics : Posted by bumpbot • on Jan 14, 2016 6:36 am • Replies 12 • Views 10632


]]>

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.]]>
(bumpbot)Fri, 26 Apr 2024 22:51:15 -0800https://gmatclub.com:443/forum/viewtopic.php?p=3389358#p3389358
Data Sufficiency (DS) | Re: If x is a positive integer, what is the remainder when x is divided by https://gmatclub.com:443/forum/viewtopic.php?p=3389342#p3389342
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.

Statistics : Posted by bumpbot • on Oct 12, 2017 3:29 pm • Replies 11 • Views 12783


]]>

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.]]>
(bumpbot)Fri, 26 Apr 2024 21:46:22 -0800https://gmatclub.com:443/forum/viewtopic.php?p=3389342#p3389342
Data Sufficiency (DS) | Re: What is the remainder when m is divided by 3? (1) The remainder when m https://gmatclub.com:443/forum/viewtopic.php?p=3389338#p3389338
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.

Statistics : Posted by bumpbot • on Jul 15, 2019 7:37 am • Replies 4 • Views 4316


]]>

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.]]>
(bumpbot)Fri, 26 Apr 2024 21:34:13 -0800https://gmatclub.com:443/forum/viewtopic.php?p=3389338#p3389338
Data Sufficiency (DS) | Re: What is the average (arithmetic mean) of x and y? https://gmatclub.com:443/forum/viewtopic.php?p=3389244#p3389244
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.

Statistics : Posted by bumpbot • on Dec 24, 2013 10:42 am • Replies 7 • Views 38632


]]>

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.]]>
(bumpbot)Fri, 26 Apr 2024 11:01:04 -0800https://gmatclub.com:443/forum/viewtopic.php?p=3389244#p3389244
Data Sufficiency (DS) | Re: ­For integers a, b, c and d, if the value of ab/cd = 1, c > a? https://gmatclub.com:443/forum/viewtopic.php?p=3389241#p3389241 devashish2407 wrote:

Bunuel wrote:
devashish2407 wrote:
­For integers a, b, c and d, if the value of\(\frac{ab}{cd} =1\) , is c > a?

(1) bd = 1
(2) b + d =3­

Are you sure you copied the question correctly? bd = 1 and b + d = 3 do not have an integer solution for b and d.

Also, this type of algebraic questions is no longer a part of the syllabus of GMAT Focus. So, you can ignore this questionaltogether.­

­
Oh yes I checked again, I copied the correct question. 

Also, where I can find the updated syllabus? I just want to know what kind of algebric questions I need topractice. ­

­Checkthis:

GMAT Syllabus for FocusEdition






This Question is Locked Due to Poor Quality




Hi there,

The question you've reached has been archived due to not meeting our community quality standards. No more replies are possible here.



Looking for better-quality questions? Check out the 'Similar Questions' block below





for a list of similar but high-quality questions.



Want to join other relevant Problem Solving discussions?
Visit our Data Sufficiency (DS) Forum








for the most recent and top-quality discussions.

Thank you for understanding, and happy exploring!



...

Statistics : Posted by Bunuel • on Apr 26, 2024 5:00 pm • Replies 6 • Views 188


]]>
devashish2407 wrote:

Bunuel wrote:
devashish2407 wrote:
­For integers a, b, c and d, if the value of\(\frac{ab}{cd} =1\) , is c > a?

(1) bd = 1
(2) b + d =3­

Are you sure you copied the question correctly? bd = 1 and b + d = 3 do not have an integer solution for b and d.

Also, this type of algebraic questions is no longer a part of the syllabus of GMAT Focus. So, you can ignore this questionaltogether.­

­
Oh yes I checked again, I copied the correct question. 

Also, where I can find the updated syllabus? I just want to know what kind of algebric questions I need topractice. ­

­Checkthis:

GMAT Syllabus for FocusEdition






This Question is Locked Due to Poor Quality




Hi there,

The question you've reached has been archived due to not meeting our community quality standards. No more replies are possible here.



Looking for better-quality questions? Check out the 'Similar Questions' block below





for a list of similar but high-quality questions.



Want to join other relevant Problem Solving discussions?
Visit our Data Sufficiency (DS) Forum








for the most recent and top-quality discussions.

Thank you for understanding, and happy exploring!



...]]>
(Bunuel)Fri, 26 Apr 2024 10:48:29 -0800https://gmatclub.com:443/forum/viewtopic.php?p=3389241#p3389241
Data Sufficiency (DS) | Re: A bibliophile has a big collection of both fiction and non-fiction https://gmatclub.com:443/forum/viewtopic.php?p=3389217#p3389217 GianKR wrote:

KarishmaB wrote:
GianKR wrote:
­A bibliophile has a big collection of both fiction and non-fiction books in which non-fiction account for 40% of his books. On his birthday, all his friends gift him fiction books such that non-fiction now account for only 25% of his collection. By what percent has the number of fiction books increased in his collection? 

A) 30%
B) 50%
C) 60%
D) 80%
E)100% ­

­
Think of it as mixtures. 
I am mixing two groups. One has 40% non fiction books. (His current collection). The other has 0% non fiction books (gifts). 
The overall mixture becomes 25% non fictionbooks. 

\(\frac{w1}{w2} =\frac{ (A2 - Avg)}{(Avg -A1)} =\frac{ (0 -25)}{(25-40)} =\frac{5}{3}\)

So if he had 5 books total originally (3 fiction and 2 non fiction), his friends gifted him 3 fiction books. 
So number of fiction books have increased by 100% (3 has become 6).

Answer(E)

GianKR - It is just a matter of practice. We are so used to using algebra that we are unable to think beyond it. The learners who get used to weighted averages cannot see
...

Statistics : Posted by KarishmaB • on Apr 24, 2024 9:58 pm • Replies 5 • Views 255


]]> GianKR wrote:

KarishmaB wrote:
GianKR wrote:
­A bibliophile has a big collection of both fiction and non-fiction books in which non-fiction account for 40% of his books. On his birthday, all his friends gift him fiction books such that non-fiction now account for only 25% of his collection. By what percent has the number of fiction books increased in his collection? 

A) 30%
B) 50%
C) 60%
D) 80%
E)100% ­

­
Think of it as mixtures. 
I am mixing two groups. One has 40% non fiction books. (His current collection). The other has 0% non fiction books (gifts). 
The overall mixture becomes 25% non fictionbooks. 

\(\frac{w1}{w2} =\frac{ (A2 - Avg)}{(Avg -A1)} =\frac{ (0 -25)}{(25-40)} =\frac{5}{3}\)

So if he had 5 books total originally (3 fiction and 2 non fiction), his friends gifted him 3 fiction books. 
So number of fiction books have increased by 100% (3 has become 6).

Answer(E)

GianKR - It is just a matter of practice. We are so used to using algebra that we are unable to think beyond it. The learners who get used to weighted averages cannot see
...]]> (KarishmaB)Fri, 26 Apr 2024 09:49:53 -0800https://gmatclub.com:443/forum/viewtopic.php?p=3389217#p3389217 Data Sufficiency (DS) | Re: If x and y are positive integers, what is the value of x ? https://gmatclub.com:443/forum/viewtopic.php?p=3389133#p3389133
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.

Statistics : Posted by bumpbot • on Dec 17, 2017 8:42 am • Replies 10 • Views 2938


]]>

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.]]>
(bumpbot)Fri, 26 Apr 2024 06:17:29 -0800https://gmatclub.com:443/forum/viewtopic.php?p=3389133#p3389133
Data Sufficiency (DS) | Re: A certain medical insurance company sold two types of policies https://gmatclub.com:443/forum/viewtopic.php?p=3389116#p3389116
(1) The revenue from individual policies was 10% of the totalrevenue.

\(\frac{1}{10} x =257500\)

\( x =25750\) which means that the family policies earned a totalof \(231750\) ​​​​​​​.

However, without knowing how many policies were sold it's impossible to solve how much a family policycosts.

INSUFFICIENT


(2) The company sold three times as many family policies as they did individualpolicies.

Let family polices= \(f\) and individual polcies= \(i\).

\( f =3i\)  

Without further information one cannot solve for the cost of a familypolicy.

INSUFFICIENT


(1+2)

Together, we know that the the individual policies generated\(25750\) revenue, that each policycosts \(250\) and that 3 times as many family policies were sold than individual policies. We also know that the family policiesgenerated \(231750\) ​​​​​​​ ofrevenue.

Number of Individual PoliciesSold: \(\frac{25750}{250} =103\) . This meansthat \(309\) family policies weresold.

Cost of FamilyPolicies: [m]\frac{231750}{309}
...

Statistics : Posted by Nidzo • on Apr 26, 2024 8:30 am • Replies 1 • Views 154


]]>

(1) The revenue from individual policies was 10% of the totalrevenue.

\(\frac{1}{10} x =257500\)

\( x =25750\) which means that the family policies earned a totalof \(231750\) ​​​​​​​.

However, without knowing how many policies were sold it's impossible to solve how much a family policycosts.

INSUFFICIENT


(2) The company sold three times as many family policies as they did individualpolicies.

Let family polices= \(f\) and individual polcies= \(i\).

\( f =3i\)  

Without further information one cannot solve for the cost of a familypolicy.

INSUFFICIENT


(1+2)

Together, we know that the the individual policies generated\(25750\) revenue, that each policycosts \(250\) and that 3 times as many family policies were sold than individual policies. We also know that the family policiesgenerated \(231750\) ​​​​​​​ ofrevenue.

Number of Individual PoliciesSold: \(\frac{25750}{250} =103\) . This meansthat \(309\) family policies weresold.

Cost of FamilyPolicies: [m]\frac{231750}{309}
...]]>
(Nidzo)Fri, 26 Apr 2024 05:48:49 -0800https://gmatclub.com:443/forum/viewtopic.php?p=3389116#p3389116
Data Sufficiency (DS) | Re: If $ represents a digit in the 7-digit number 3,62$,215, what is the https://gmatclub.com:443/forum/viewtopic.php?p=3389062#p3389062
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.

Statistics : Posted by bumpbot • on Dec 11, 2014 2:08 pm • Replies 6 • Views 10503


]]>

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.]]>
(bumpbot)Fri, 26 Apr 2024 03:23:49 -0800https://gmatclub.com:443/forum/viewtopic.php?p=3389062#p3389062
Data Sufficiency (DS) | Starting in 1991, the budget deficit of a certain country was expected https://gmatclub.com:443/forum/viewtopic.php?p=3389053#p3389053 Bunuel wrote:

­Starting in 1991, the budget deficit of a certain country was expected to double every year for the next 10 years. At that rate of increase, what will the deficit be at the end of the 10-year period?

(1) The budget deficit of the country in 1991 was $300,000.

(2) The projected increase in the deficit from 1994 to 1995 is$2,400,000.

­

Question: Dificit at the end of 10 years =?

We already know the rate of growth of Deficit so if we know about the value of deficit in any year then backwards and forward calculation can bedone

Statement1 :­ The budget deficit of the country in 1991 was$300,000.
SUFFICIENT

Statement2 : The projected increase in the deficit from 1994 to 1995 is$2,400,000.
SUFFICIENT

Answer: OptionD

---
[spoiler=]GMATinsight   (Where 80% of students get645+)- Book your FREE trialsession
Providing Focused GMAT Prep (Online and Offline) for GMAT Focus along with 100% successful Admissions counselling
http://www.GMATinsight.comhttp://www.GMATinsight.comhttp://www.AdmitSure.comhttp://www.AdmitSure.com