NEW HERE? LEARN MORE
closeclose
Last visit was: 24 Apr 2024, 00:44 It is currently 24 Apr 2024, 00:44
Decision Tracker
My Rewards
New posts
New comers' posts

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.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel

A certain population of bacteria doubles every 10 minutes. If the

SORT BY:
Date
Kudos
Tags:
Difficulty: Sub 505 Levelx   Algebrax                           
Find Similar Topics 
Show Tags
Hide Tags
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 92891
Own Kudos [?]: 618662 [47]
Given Kudos: 81564
Send PM
CAT Tests Forum Quiz Mode
A certain population of bacteria doubles every 10 minutes. If the [#permalink] New post   05 Jan 2014, 13:05
7
Kudos
40
Bookmarks
Expert Reply
00:00
A
B
C
D
E

Difficulty:

5% (low)

Question Stats:

83% (01:10) correct 17% (01:13) wrong based on 1726 sessions
Hide Show timer Statistics
A certain population of bacteria doubles every 10 minutes. If the number of bacteria in the population initially was 10^4, what was the number in the population 1 hour later?

(A) 2(10^4)
(B) 6(10^4)
(C) (2^6)(10^4)
(D) (10^6)(10^4)
(E) (10^4)^6
ShowHide Answer
Official Answer
C
Most Helpful Reply
User avatar
B
kinjiGC
Director
Director
Joined: 03 Feb 2013
Posts: 797
Own Kudos [?]: 2588 [11]
Given Kudos: 567
Location: India
Concentration: Operations, Strategy
Schools: Tepper '17 (M$) W.P. Carey '17 (A$) NUS '17 (A)
GMAT 1: 760 Q49 V44
GPA: 3.88
WE:Engineering (Computer Software)
Send PM
Reviews Badge
Re: A certain population of bacteria doubles every 10 minutes. If the [#permalink] New post   06 Jan 2014, 08:48
7
Kudos
4
Bookmarks
Bunuel wrote:
The Official Guide For GMAT® Quantitative Review, 2ND Edition

A certain population of bacteria doubles every 10 minutes. If the number of bacteria in the population initially was 10^4, what was the number in the population 1 hour later?

(A) 2(10^4)
(B) 6(10^4)
(C) (2^6)(10^4)
(D) (10^6)(10^4)
(E) (10^4)^6



Difficulty level : sub 500.

Starting population, 10^4
After 10 mins , the population becomes 2^1* 10^4
After 20 mins , the population becomes 2^2* 10^4
So after 1 hour (which is 60 mins), the population becomes 2^6 * 10^4 - option c)
User avatar
L
BrentGMATPrepNow
GMAT Club Legend
GMAT Club Legend
Joined: 12 Sep 2015
Posts: 6821
Own Kudos [?]: 29900 [10]
Given Kudos: 799
Location: Canada
Send PM
Re: A certain population of bacteria doubles every 10 minutes. If the [#permalink] New post   19 Dec 2019, 07:35
6
Kudos
4
Bookmarks
Expert Reply
Top Contributor
Bunuel wrote:
The Official Guide For GMAT® Quantitative Review, 2ND Edition

A certain population of bacteria doubles every 10 minutes. If the number of bacteria in the population initially was 10^4, what was the number in the population 1 hour later?

(A) 2(10^4)
(B) 6(10^4)
(C) (2^6)(10^4)
(D) (10^6)(10^4)
(E) (10^4)^6


Let's list some populations and look for a pattern

Initial population: 10⁴
10 minutes later: (10⁴)(2)
20 minutes later: (10⁴)(2)(2)
30 minutes later: (10⁴)(2)(2)(2)
40 minutes later: (10⁴)(2)(2)(2)(2)
50 minutes later: (10⁴)(2)(2)(2)(2)(2)
60 minutes later: (10⁴)(2)(2)(2)(2)(2)(2) = (10⁴)(2⁶)

Answer: C

Cheers,
Brent
General Discussion
User avatar
WoundedTiger
Director
Director
Joined: 25 Apr 2012
Posts: 531
Own Kudos [?]: 2284 [8]
Given Kudos: 740
Location: India
GPA: 3.21
WE:Business Development (Other)
Send PM
Reviews Badge
Re: A certain population of bacteria doubles every 10 minutes. If the [#permalink] New post   05 Jan 2014, 20:50
3
Kudos
4
Bookmarks
A certain population of bacteria doubles every 10 minutes. If the number of bacteria in the population initially was 10^4, what was the number in the population 1 hour later?

(A) 2(10^4)
(B) 6(10^4)
(C) (2^6)(10^4)
(D) (10^6)(10^4)
(E) (10^4)^6

Sol: We need to find the population of the bacteria 1 hour later. Let Initial Population be x =10^4
After 10 mins: 2x
20 mins: 4x
30 mins: 8x
40 mins: 16x
50 mins: 32x
60 mins: 64 x--------> 2^6*x -----> 2^6*10^4. Ans C
User avatar
nutshell
Manager
Manager
Joined: 21 Mar 2011
Status:GMATting
Posts: 96
Own Kudos [?]: 279 [0]
Given Kudos: 104
Concentration: Strategy, Technology
GMAT 1: 590 Q45 V27
Send PM
GMAT ToolKit User
Re: A certain population of bacteria doubles every 10 minutes. If the [#permalink] New post   05 Jan 2014, 21:22
An hour has 6 10-min intervals. If the population of bacteria doubles(2x) every 10 mins, then in 1 hour it will have multiplied by 2^6 times.

So, after 1 hour it will be (2^6)(10^4).

Ans is (C)
User avatar
D
stonecold
Alum
Joined: 12 Aug 2015
Posts: 2282
Own Kudos [?]: 3126 [1]
Given Kudos: 893
Schools: Boston U '20 (M)
GRE 1: Q169 V154
Send PM
GMAT ToolKit User
Re: A certain population of bacteria doubles every 10 minutes. If the [#permalink] New post   29 Jul 2016, 12:53
1
Kudos
Let us solve this using the GP extension
Here R i.e the common multiple =2
after 60 minutes => 7th term => 2^6*64
Smash that C
User avatar
G
susheelh
Manager
Manager
Joined: 12 Jun 2016
Posts: 146
Own Kudos [?]: 231 [0]
Given Kudos: 151
Location: India
Concentration: Technology, Leadership
WE:Sales (Telecommunications)
Send PM
GMAT ToolKit User
Re: A certain population of bacteria doubles every 10 minutes. If the [#permalink] New post   16 Jul 2017, 02:05
Hello Moderators,

Do you think the answers choices need to be made math Friendly? On a quick look, Option B and Option E "look" the same (Which of course is not the case). This ambiguity can be removed if answer choices are made math friendly.


Bunuel wrote:
The Official Guide For GMAT® Quantitative Review, 2ND Edition

A certain population of bacteria doubles every 10 minutes. If the number of bacteria in the population initially was 10^4, what was the number in the population 1 hour later?

(A) 2(10^4)
(B) 6(10^4)
(C) (2^6)(10^4)
(D) (10^6)(10^4)
(E) (10^4)^6

Problem Solving
Question: 22
Category: Arithmetic Operations on rational numbers
Page: 64
Difficulty: 600


GMAT Club is introducing a new project: The Official Guide For GMAT® Quantitative Review, 2ND Edition - Quantitative Questions Project

Each 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!
User avatar
G
Inten21
Manager
Manager
Joined: 18 Jan 2017
Posts: 123
Own Kudos [?]: 98 [1]
Given Kudos: 155
Send PM
Re: A certain population of bacteria doubles every 10 minutes. If the [#permalink] New post   17 Jul 2017, 11:03
1
Kudos
Bunuel wrote:
The Official Guide For GMAT® Quantitative Review, 2ND Edition

A certain population of bacteria doubles every 10 minutes. If the number of bacteria in the population initially was 10^4, what was the number in the population 1 hour later?

(A) 2(10^4)
(B) 6(10^4)
(C) (2^6)(10^4)
(D) (10^6)(10^4)
(E) (10^4)^6

Problem Solving
Question: 22
Category: Arithmetic Operations on rational numbers
Page: 64
Difficulty: 600


GMAT Club is introducing a new project: The Official Guide For GMAT® Quantitative Review, 2ND Edition - Quantitative Questions Project

Each 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!





ANSWER:
=====

(10^4)
After 10 mins, 2*(10^4)
After 20 mins, 2*(2*(10^4))
After 10 mins,
Bunuel wrote:
The Official Guide For GMAT® Quantitative Review, 2ND Edition

A certain population of bacteria doubles every 10 minutes. If the number of bacteria in the population initially was 10^4, what was the number in the population 1 hour later?

(A) 2(10^4)
(B) 6(10^4)
(C) (2^6)(10^4)
(D) (10^6)(10^4)
(E) (10^4)^6

Problem Solving
Question: 22
Category: Arithmetic Operations on rational numbers
Page: 64
Difficulty: 600


GMAT Club is introducing a new project: The Official Guide For GMAT® Quantitative Review, 2ND Edition - Quantitative Questions Project

Each 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!





ANSWER:
=====

(10^4)
After 10 mins, 2*(10^4)
After 20 mins, 2*2*(10^4)
After 30 mins, 2*2*2*(10^4))
After 40 mins, 2*2*2*2*(10^4)
After 50 mins, 2*2*2*2*2*(10^4)
After 60 mins, 2*2*2*2*2*2*(10^4)

2^6 * (10^4)


Hence, Answer is (2^6)(10^4) = C
User avatar
L
Kinshook
GMAT Club Legend
GMAT Club Legend
Joined: 03 Jun 2019
Posts: 5342
Own Kudos [?]: 3964 [1]
Given Kudos: 160
Location: India
Schools: HBS '22 CBS '22 Wharton '22
GMAT 1: 690 Q50 V34
WE:Engineering (Transportation)
Send PM
Reviews Badge
Re: A certain population of bacteria doubles every 10 minutes. If the [#permalink] New post   15 Sep 2019, 05:54
1
Bookmarks
Bunuel wrote:
The Official Guide For GMAT® Quantitative Review, 2ND Edition

A certain population of bacteria doubles every 10 minutes. If the number of bacteria in the population initially was 10^4, what was the number in the population 1 hour later?

(A) 2(10^4)
(B) 6(10^4)
(C) (2^6)(10^4)
(D) (10^6)(10^4)
(E) (10^4)^6

Problem Solving
Question: 22
Category: Arithmetic Operations on rational numbers
Page: 64
Difficulty: 600


GMAT Club is introducing a new project: The Official Guide For GMAT® Quantitative Review, 2ND Edition - Quantitative Questions Project

Each 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!



Every 10 minutes population of bacteria = 2 times
Every 60 minutes population of bacteria becomes = 2*2*2*2*2*2= 2^6 times

Since initially population of bacteria = 10^4

Population of bacteria after 1 hour ( 60 minutes) =( 2^6) * (10^4)

IMO C

Posted from my mobile device
User avatar
bumpbot
Non-Human User
Joined: 09 Sep 2013
Posts: 32637
Own Kudos [?]: 821 [0]
Given Kudos: 0
Send PM
Re: A certain population of bacteria doubles every 10 minutes. If the [#permalink] New post   02 Nov 2022, 05:44
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 Club Bot
gmatclubot
Re: A certain population of bacteria doubles every 10 minutes. If the [#permalink]
02 Nov 2022, 05:44
Moderators:
Bunuel
Math Expert
92888 posts
yashikaaggarwal
Senior Moderator - Masters Forum
3137 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne
Main navigation
GMAT Resources
Partners
MBA Resources
www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions