GMAT Question of the Day - Daily to your Mailbox; hard ones only

It is currently 17 Aug 2018, 02:54

Close

GMAT Club Daily Prep

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.

Close

Request Expert Reply

Confirm Cancel

Out of 5.5 billion bacteria grown for an experiment, 1 in 75 million

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 47948
Out of 5.5 billion bacteria grown for an experiment, 1 in 75 million  [#permalink]

Show Tags

New post 16 Jun 2018, 00:20
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

74% (01:19) correct 26% (01:18) wrong based on 86 sessions

HideShow timer Statistics

Out of 5.5 billion bacteria grown for an experiment, 1 in 75 million has a particular mutation. Approximately how many of the bacteria have the mutation?

(A) 7
(B) 73
(C) 733
(D) 7,333
(E) 73,333

_________________

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?
Extra-hard Quant Tests with Brilliant Analytics

Manager
Manager
avatar
B
Joined: 24 Jun 2013
Posts: 98
GMAT ToolKit User CAT Tests
Re: Out of 5.5 billion bacteria grown for an experiment, 1 in 75 million  [#permalink]

Show Tags

New post 16 Jun 2018, 01:44
Bunuel wrote:
Out of 5.5 billion bacteria grown for an experiment, 1 in 75 million has a particular mutation. Approximately how many of the bacteria have the mutation?

(A) 7
(B) 73
(C) 733
(D) 7,333
(E) 73,333


we just need to find how many 75 million (1million = \(10^6\)) make 5.5 billion (1billion = \(10^9\))

\(\frac{5.5*10^9}{75*10^6}\)
~73
Ans B
_________________

If this post helped you learn something pls give kudos

Intern
Intern
avatar
B
Joined: 31 Jan 2017
Posts: 9
Re: Out of 5.5 billion bacteria grown for an experiment, 1 in 75 million  [#permalink]

Show Tags

New post 16 Jun 2018, 12:41
I did it the long way:

5,500,000,000 * (1/75,000,000) --> 5,500 * (1/75) --> (5,500/75) --> (1100/15) --> (220/3) --> 73.~

So the answer is B
Intern
Intern
avatar
B
Joined: 26 Jul 2017
Posts: 6
Re: Out of 5.5 billion bacteria grown for an experiment, 1 in 75 million  [#permalink]

Show Tags

New post 16 Jun 2018, 12:55
B

5.5bn = 5500m

75m has 1 mutation
5500m has 5500/75 = 73.33
Intern
Intern
User avatar
B
Joined: 31 Aug 2016
Posts: 41
Location: India
Concentration: Finance, General Management
GMAT 1: 680 Q49 V33
GPA: 2.81
Premium Member CAT Tests
Re: Out of 5.5 billion of bacteria grown for an experiment, 1 in 75 millio  [#permalink]

Show Tags

New post 05 Jul 2018, 08:35
Bunuel wrote:
Out of 5.5 billion of bacteria grown for an experiment, 1 in 75 million has a particular mutation. Approximately how many of these bacteria have the mutation?


(A) 7
(B) 73
(C) 733
(D) 7,333
(E) 73,333




1 billion = 1000 million
5.5 billion = 5500 million
\(\frac{5500}{75}\) = 73.333

therefore answer is 73 option B
_________________

Resources
GMATNinja Webinars
GMATNinja Chats

Quant
Mixtures

Board of Directors
User avatar
P
Status: QA & VA Forum Moderator
Joined: 11 Jun 2011
Posts: 3765
Location: India
GPA: 3.5
WE: Business Development (Commercial Banking)
GMAT ToolKit User Premium Member
Re: Out of 5.5 billion of bacteria grown for an experiment, 1 in 75 millio  [#permalink]

Show Tags

New post 05 Jul 2018, 11:04
Bunuel wrote:
Out of 5.5 billion of bacteria grown for an experiment, 1 in 75 million has a particular mutation. Approximately how many of these bacteria have the mutation?


(A) 7
(B) 73
(C) 733
(D) 7,333
(E) 73,333


\(75\) million has \(1\) bacterial mutation
\(1\) million has \(\frac{1}{75}\) bacterial mutations
\(5500\) million has \(\frac{1}{75}*5500\) bacteria \(~\) \(73\) bacterial mutations , Answer must be (B)
_________________

Thanks and Regards

Abhishek....

PLEASE FOLLOW THE RULES FOR POSTING IN QA AND VA FORUM AND USE SEARCH FUNCTION BEFORE POSTING NEW QUESTIONS

How to use Search Function in GMAT Club | Rules for Posting in QA forum | Writing Mathematical Formulas |Rules for Posting in VA forum | Request Expert's Reply ( VA Forum Only )

Senior Manager
Senior Manager
User avatar
G
Status: Learning stage
Joined: 01 Oct 2017
Posts: 490
WE: Supply Chain Management (Energy and Utilities)
Premium Member CAT Tests
Re: Out of 5.5 billion of bacteria grown for an experiment, 1 in 75 millio  [#permalink]

Show Tags

New post 05 Jul 2018, 12:47
Bunuel wrote:
Out of 5.5 billion of bacteria grown for an experiment, 1 in 75 million has a particular mutation. Approximately how many of these bacteria have the mutation?


(A) 7
(B) 73
(C) 733
(D) 7,333
(E) 73,333


Total no of bacteria having mutation=Total no of bacteria* rate of mutation=5.5 billion*\(\frac{1 nos}{75 million}\)=\(\frac{5.5*1000 million}{75million}\)=73(Approx.)
Ans. (B)
_________________

Regards,

PKN

Rise above the storm, you will find the sunshine

e-GMAT Representative
User avatar
P
Joined: 04 Jan 2015
Posts: 1897
Re: Out of 5.5 billion of bacteria grown for an experiment, 1 in 75 millio  [#permalink]

Show Tags

New post 06 Jul 2018, 02:39

Solution


Given:
    • Total number of bacteria grown for an experiment = 5.5 billion
    • 1 in every 75 million bacteria has a particular mutation

To find:
    • Approximately, how many of these 5.5 billion bacteria has the mutation

Approach and Working:
    • In 75 million bacteria, there is 1 bacteria with the mutation
    • In 5.5 billion bacteria grown for the experiment, number of bacteria which have the mutation = 1 * 5.5 billion/75 million = (5.5 * \(10^9\))/(75 * \(10^6\)) = 5500/75
    • The value is greater than 10 and less than 100

Hence, the correct answer is option B.

Answer: B
_________________








Register for free sessions
Number Properties | Algebra |Quant Workshop

Success Stories
Guillermo's Success Story | Carrie's Success Story

Ace GMAT quant
Articles and Question to reach Q51 | Question of the week

Must Read Articles
Number Properties – Even Odd | LCM GCD
Word Problems – Percentage 1 | Percentage 2 | Time and Work 1 | Time and Work 2 | Time, Speed and Distance 1 | Time, Speed and Distance 2
Advanced Topics- Permutation and Combination 1 | Permutation and Combination 2 | Permutation and Combination 3 | Probability
Geometry- Triangles 1 | Triangles 2 | Triangles 3 | Common Mistakes in Geometry
Algebra- Wavy line

Practice Questions
Number Properties 1 | Number Properties 2 | Algebra 1 | Geometry | Prime Numbers | Absolute value equations | Sets



| '4 out of Top 5' Instructors on gmatclub | 70 point improvement guarantee | www.e-gmat.com

Senior Manager
Senior Manager
avatar
D
Joined: 06 Jan 2015
Posts: 441
Location: India
Concentration: Operations, Finance
GPA: 3.35
WE: Information Technology (Computer Software)
Re: Out of 5.5 billion of bacteria grown for an experiment, 1 in 75 millio  [#permalink]

Show Tags

New post 07 Jul 2018, 03:50
1
Bunuel wrote:
Out of 5.5 billion of bacteria grown for an experiment, 1 in 75 million has a particular mutation. Approximately how many of these bacteria have the mutation?


(A) 7
(B) 73
(C) 733
(D) 7,333
(E) 73,333


HI Bunuel ,

Is OA E? Can you please correct it? :-)
_________________

आत्मनॊ मोक्षार्थम् जगद्धिताय च

Resource: GMATPrep RCs With Solution

Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 47948
Re: Out of 5.5 billion bacteria grown for an experiment, 1 in 75 million  [#permalink]

Show Tags

New post 07 Jul 2018, 07:42
NandishSS wrote:
Bunuel wrote:
Out of 5.5 billion of bacteria grown for an experiment, 1 in 75 million has a particular mutation. Approximately how many of these bacteria have the mutation?


(A) 7
(B) 73
(C) 733
(D) 7,333
(E) 73,333


HI Bunuel ,

Is OA E? Can you please correct it? :-)


The OA is B. Edited. Thank you.
_________________

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?
Extra-hard Quant Tests with Brilliant Analytics

Target Test Prep Representative
User avatar
G
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 3161
Location: United States (CA)
Re: Out of 5.5 billion bacteria grown for an experiment, 1 in 75 million  [#permalink]

Show Tags

New post 07 Jul 2018, 18:26
Bunuel wrote:
Out of 5.5 billion bacteria grown for an experiment, 1 in 75 million has a particular mutation. Approximately how many of the bacteria have the mutation?

(A) 7
(B) 73
(C) 733
(D) 7,333
(E) 73,333



We can create the proportion:

5,500,000,000/n = 75,000,000/1

n = 5,500,000,000/75,000,000 = 5500/75 = about 73

Answer: B
_________________

Scott Woodbury-Stewart
Founder and CEO

GMAT Quant Self-Study Course
500+ lessons 3000+ practice problems 800+ HD solutions

Manager
Manager
avatar
S
Joined: 19 Nov 2017
Posts: 146
Location: India
Schools: ISB
GMAT 1: 670 Q49 V32
GPA: 4
Re: Out of 5.5 billion bacteria grown for an experiment, 1 in 75 million  [#permalink]

Show Tags

New post 07 Jul 2018, 23:34
\(2^0\) in 75 million
\(2^1\) in 150 million (number of bacteria with a mutation doubles every time the sample is doubled i.e 75-150-300-..)
\(2^2\) in 300 million
\(2^3\) in 600 million
\(2^4\) in 1200 million
\(2^5\) in 2400 million
\(2^6\) in 4800 million; \(2^6 = 64\)
\(2^7\) in 9600 million;\(2^7 = 128\)

An option between 64 and 128. Answer is B, 73.
_________________

Regards,

Vaibhav



Sky is the limit. 800 is the limit.

~GMAC

Re: Out of 5.5 billion bacteria grown for an experiment, 1 in 75 million &nbs [#permalink] 07 Jul 2018, 23:34
Display posts from previous: Sort by

Out of 5.5 billion bacteria grown for an experiment, 1 in 75 million

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  

Events & Promotions

PREV
NEXT


GMAT Club MBA Forum Home| About| Terms and Conditions and Privacy Policy| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.