Author 
Message 
TAGS:

Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 47137

In a certain pond, 50 fish were caught, tagged, and returned
[#permalink]
Show Tags
10 Jan 2014, 07:10
Question Stats:
75% (01:26) correct 25% (01:27) wrong based on 544 sessions
HideShow timer Statistics
The Official Guide For GMAT® Quantitative Review, 2ND EditionIn a certain pond, 50 fish were caught, tagged, and returned to the pond. A few days later, 50 fish were caught again, of which 2 were found to have been tagged. If the percent of tagged fish in the second catch approximates the percent of tagged fish in the pond, what is the approximate number of fish in the pond? (A) 400 (B) 625 (C) 1,250 (D) 2,500 (E) 10,000 Problem Solving Question: 35 Category: Algebra Applied problems Page: 66 Difficulty: 600 GMAT Club is introducing a new project: The Official Guide For GMAT® Quantitative Review, 2ND Edition  Quantitative Questions ProjectEach week we'll be posting several questions from The Official Guide For GMAT® Quantitative Review, 2ND Edition and then after couple of days we'll provide Official Answer (OA) to them along with a slution. We'll be glad if you participate in development of this project: 1. Please provide your solutions to the questions; 2. Please vote for the best solutions by pressing Kudos button; 3. Please vote for the questions themselves by pressing Kudos button; 4. Please share your views on difficulty level of the questions, so that we have most precise evaluation. Thank you!
Official Answer and Stats are available only to registered users. Register/ Login.
_________________
New to the Math Forum? Please read this: Ultimate GMAT Quantitative Megathread  All You Need for Quant  PLEASE READ AND FOLLOW: 12 Rules for Posting!!! Resources: GMAT Math Book  Triangles  Polygons  Coordinate Geometry  Factorials  Circles  Number Theory  Remainders; 8. Overlapping Sets  PDF of Math Book; 10. Remainders  GMAT Prep Software Analysis  SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS)  Tricky questions from previous years.
Collection of Questions: PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.
What are GMAT Club Tests? Extrahard Quant Tests with Brilliant Analytics




Math Expert
Joined: 02 Sep 2009
Posts: 47137

Re: In a certain pond, 50 fish were caught, tagged, and returned
[#permalink]
Show Tags
10 Jan 2014, 07:10
SOLUTIONIn a certain pond, 50 fish were caught, tagged, and returned to the pond. A few days later, 50 fish were caught again, of which 2 were found to have been tagged. If the percent of tagged fish in the second catch approximates the percent of tagged fish in the pond, what is the approximate number of fish in the pond?(A) 400 (B) 625 (C) 1,250 (D) 2,500 (E) 10,000 The percent of tagged fish in the second catch is 2/50*100 = 4%. We are told that 4% approximates the percent of tagged fish in the pond. Since there are 50 tagged fish, then we have 0.04x = 50 > x = 1,250. Answer: C.
_________________
New to the Math Forum? Please read this: Ultimate GMAT Quantitative Megathread  All You Need for Quant  PLEASE READ AND FOLLOW: 12 Rules for Posting!!! Resources: GMAT Math Book  Triangles  Polygons  Coordinate Geometry  Factorials  Circles  Number Theory  Remainders; 8. Overlapping Sets  PDF of Math Book; 10. Remainders  GMAT Prep Software Analysis  SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS)  Tricky questions from previous years.
Collection of Questions: PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.
What are GMAT Club Tests? Extrahard Quant Tests with Brilliant Analytics




Director
Joined: 03 Feb 2013
Posts: 905
Location: India
Concentration: Operations, Strategy
GPA: 3.88
WE: Engineering (Computer Software)

Re: In a certain pond, 50 fish were caught, tagged, and returned
[#permalink]
Show Tags
10 Jan 2014, 11:09
Bunuel wrote: The Official Guide For GMAT® Quantitative Review, 2ND EditionIn a certain pond, 50 fish were caught, tagged, and returned to the pond. A few days later, 50 fish were caught again, of which 2 were found to have been tagged. If the percent of tagged fish in the second catch approximates the percent of tagged fish in the pond, what is the approximate number of fish in the pond? (A) 400 (B) 625 (C) 1,250 (D) 2,500 (E) 10,000 # of fishes caught in the 2nd catch = 50 and # of fishes which are tagged = 2 so %age = 4% And after the 1st catch, the # of fish which are tagged are = 50 which is 4% of # of fishes in the pond, so total number of fishes = 25*50 = 1250  Option C)
_________________
Thanks, Kinjal My Debrief : http://gmatclub.com/forum/hardworknevergetsunrewardedforever189267.html#p1449379 My Application Experience : http://gmatclub.com/forum/hardworknevergetsunrewardedforever18926740.html#p1516961 Linkedin : https://www.linkedin.com/in/kinjaldas/
Please click on Kudos, if you think the post is helpful



Manager
Status: suffer now and live forever as a champion!!!
Joined: 01 Sep 2013
Posts: 130
Location: India
Dheeraj: Madaraboina
GPA: 3.5
WE: Information Technology (Computer Software)

Re: In a certain pond, 50 fish were caught, tagged, and returned
[#permalink]
Show Tags
23 Apr 2014, 03:44
50 fish were tagged in first catch and returned to pond .
Second Catch  again 50 fish  only 2 were tagged were caught.
percent of tagged fish in the second catch approximates the percent of tagged fish in the pond
2/50 = x/100; x=4%; 4%  50 ; 100% ??????
no of fish in pond = 1250;



BSchool Forum Moderator
Joined: 12 Aug 2015
Posts: 2648

In a certain pond, 50 fish were caught, tagged, and returned
[#permalink]
Show Tags
29 Jul 2016, 11:02
Hey Bunuel i have a query in this question Here why arent we taking the number of tagged fishes as 48 as 2 fishes that were caught arent returned to the pond. we have no evidence that the two fishes were returned to the pond so (4/100)*number of fishes = 48 although no option is provided i think its answer should be 1200 Where am i wrong ? cc EMPOWERgmatRichC
_________________
MBA Financing: INDIAN PUBLIC BANKS vs PRODIGY FINANCE! Getting into HOLLYWOOD with an MBA! The MOST AFFORDABLE MBA programs!STONECOLD's BRUTAL Mock Tests for GMATQuant(700+)AVERAGE GRE Scores At The Top Business Schools!



Board of Directors
Status: Stepping into my 10 years long dream
Joined: 18 Jul 2015
Posts: 3687

Re: In a certain pond, 50 fish were caught, tagged, and returned
[#permalink]
Show Tags
29 Jul 2016, 11:23
stonecold wrote: Hey Bunuel i have a query in this question Here why arent we taking the number of tagged fishes as 48 as 2 fishes that were caught arent returned to the pond. we have no evidence that the two fishes were returned to the pond so (4/100)*number of fishes = 48 although no option is provided i think its answer should be 1200 Where am i wrong ? cc EMPOWERgmatRichCTrue. If one of the options would have been 1200, then this could be a concern. But I believe GMAC people are intelligent enough to avoid such options that cause confusions. So, since we donot have any option that matches per your assumption, we need to consider 50 tagged fishes only. Hope it clears your query!!
_________________
My GMAT Story: From V21 to V40 My MBA Journey: My 10 years long MBA Dream My Secret Hacks: Best way to use GMATClub  Importance of an Error Log! Verbal Resources: All SC Resources at one place  All CR Resources at one place Blog: Subscribe to Question of the Day Blog
GMAT Club Inbuilt Error Log Functionality  View More. New Visa Forum  Ask all your Visa Related Questions  here.
New! Best Reply Functionality on GMAT Club! Find a bug in the new email templates and get rewarded with 2 weeks of GMATClub Tests for free



BSchool Forum Moderator
Joined: 12 Aug 2015
Posts: 2648

Re: In a certain pond, 50 fish were caught, tagged, and returned
[#permalink]
Show Tags
29 Jul 2016, 11:28
abhimahna wrote: stonecold wrote: Hey Bunuel i have a query in this question Here why arent we taking the number of tagged fishes as 48 as 2 fishes that were caught arent returned to the pond. we have no evidence that the two fishes were returned to the pond so (4/100)*number of fishes = 48 although no option is provided i think its answer should be 1200 Where am i wrong ? cc EMPOWERgmatRichCTrue. If one of the options would have been 1200, then this could be a concern. But I believe GMAC people are intelligent enough to avoid such options that cause confusions. So, since we donot have any option that matches per your assumption, we need to consider 50 tagged fishes only. Hope it clears your query!! Nopes bruh..! I disagree . I think we are really missing something here . Abhishek009 has stopped doing quant i guess else he would have been the first one to respond on this Lets wait for Bunuel to respond
_________________
MBA Financing: INDIAN PUBLIC BANKS vs PRODIGY FINANCE! Getting into HOLLYWOOD with an MBA! The MOST AFFORDABLE MBA programs!STONECOLD's BRUTAL Mock Tests for GMATQuant(700+)AVERAGE GRE Scores At The Top Business Schools!



EMPOWERgmat Instructor
Status: GMAT Assassin/CoFounder
Affiliations: EMPOWERgmat
Joined: 19 Dec 2014
Posts: 11992
Location: United States (CA)

In a certain pond, 50 fish were caught, tagged, and returned
[#permalink]
Show Tags
29 Jul 2016, 12:08
Hi stonecold, There are a few different ways to address the interpretational 'issue' that you're talking about: To start, regardless of how you interpret the prompt, the question ultimately asks for the APPROXIMATE number of fish in the pond  your way of interpreting the question leads to the SAME correct answer. Thus, it doesn't really matter that you didn't get to 1250 exactly. Second, IF the question expected you to calculate a result by 'ignoring' the 50 fish that were caught the second time, then it would have asked for the number of REMAINING fish in the pond (which the prompt did not do). By extension, you would have to question your interpretation of the wording (and possibly consider an alternative interpretation  which you seem to refuse to do). While minor interpretational 'biases' can sometimes happen in GMAT questions, the answer choices will be written so that there can only be one correct answer. If "your answer" isn't there, then you have to consider how you interpreted the given information and adjust your work accordingly. Third, from a ratio standpoint, the 50 fish 'subgroup' that was caught the second time IS, mathematically speaking, part of the total number of fish in the pond (so you can't ignore that group when calculating the total number of fish in the pond). GMAT assassins aren't born, they're made, Rich
_________________
760+: Learn What GMAT Assassins Do to Score at the Highest Levels Contact Rich at: Rich.C@empowergmat.com
Rich Cohen
CoFounder & GMAT Assassin
Special Offer: Save $75 + GMAT Club Tests Free
Official GMAT Exam Packs + 70 Pt. Improvement Guarantee www.empowergmat.com/
***********************Select EMPOWERgmat Courses now include ALL 6 Official GMAC CATs!***********************



NonHuman User
Joined: 09 Sep 2013
Posts: 7304

Re: In a certain pond, 50 fish were caught, tagged, and returned
[#permalink]
Show Tags
20 Nov 2017, 13:56
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.
_________________
GMAT Books  GMAT Club Tests  Best Prices on GMAT Courses  GMAT Mobile App  Math Resources  Verbal Resources




Re: In a certain pond, 50 fish were caught, tagged, and returned &nbs
[#permalink]
20 Nov 2017, 13:56






