NEW HERE? LEARN MORE
closeclose
Last visit was: 13 May 2024, 17:41 It is currently 13 May 2024, 17:41
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

The number of students who attend a school could be divided among 10,

SORT BY:
Date
Kudos
Tags:
Find Similar Topics 
Show Tags
Hide Tags
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 93243
Own Kudos [?]: 623503 [7]
Given Kudos: 81851
Send PM
CAT Tests Forum Quiz Mode
The number of students who attend a school could be divided among 10, [#permalink] New post   13 Aug 2018, 04:48
7
Bookmarks
Expert Reply
00:00
A
B
C
D
E

Difficulty:

15% (low)

Question Stats:

77% (01:14) correct 23% (01:25) wrong based on 518 sessions
Hide Show timer Statistics
The number of students who attend a school could be divided among 10, 12, or 16 buses, such that each bus transports an equal number of students. What is the minimum number of students that could attend the school?

(A) 120
(B) 160
(C) 240
(D) 320
(E) 480
ShowHide Answer
Official Answer
C
User avatar
L
Abhishek009
Board of Directors
Joined: 11 Jun 2011
Status:QA & VA Forum Moderator
Posts: 6070
Own Kudos [?]: 4700 [0]
Given Kudos: 463
Location: India
GPA: 3.5
WE:Business Development (Commercial Banking)
Send PM
GMAT ToolKit User
Re: The number of students who attend a school could be divided among 10, [#permalink] New post   13 Aug 2018, 07:45
Bunuel wrote:
The number of students who attend a school could be divided among 10, 12, or 16 buses, such that each bus transports an equal number of students. What is the minimum number of students that could attend the school?

(A) 120
(B) 160
(C) 240
(D) 320
(E) 480

LCM (16, 12, 10) = 240, Answer must be (C)
User avatar
P
GyMrAT
Senior Manager
Senior Manager
Joined: 14 Dec 2017
Posts: 424
Own Kudos [?]: 459 [0]
Given Kudos: 173
Location: India
Send PM
Re: The number of students who attend a school could be divided among 10, [#permalink] New post   13 Aug 2018, 07:51
Bunuel wrote:
The number of students who attend a school could be divided among 10, 12, or 16 buses, such that each bus transports an equal number of students. What is the minimum number of students that could attend the school?

(A) 120
(B) 160
(C) 240
(D) 320
(E) 480



The # of students is LCM of 10, 12 & 16, hence 240.

Answer C.


Thanks,
GyM
User avatar
L
BrentGMATPrepNow
GMAT Club Legend
GMAT Club Legend
Joined: 12 Sep 2015
Posts: 6817
Own Kudos [?]: 30181 [0]
Given Kudos: 799
Location: Canada
Send PM
Re: The number of students who attend a school could be divided among 10, [#permalink] New post   05 Jan 2019, 09:23
Expert Reply
Top Contributor
Bunuel wrote:
The number of students who attend a school could be divided among 10, 12, or 16 buses, such that each bus transports an equal number of students. What is the minimum number of students that could attend the school?

(A) 120
(B) 160
(C) 240
(D) 320
(E) 480


The number of students who attend a school could be divided among 10, 12, or 16 buses, such that each bus transports an equal number of students.
This tells us that the TOTAL number of students is a multiple of 10, 12 and 16

What is the minimum number of students that could attend the school?
This whole question is a clever way to ask "What is the LEAST common multiple of 10, 12, and 16?"

Since the answer choices are written is ASCENDING order, we can just start with answer choice A and keep checking answers until we find a value that is a multiple of 10, 12, and 16

(A) 120. This is NOT divisible by 16. ELIMINATE
(B) 160. This is NOT divisible by 12. ELIMINATE
(C) 240. This is divisible by 10, 12, and 16

Answer: C

Cheers,
Brent
User avatar
D
philipssonicare
Senior Manager
Senior Manager
Joined: 15 Feb 2018
Posts: 424
Own Kudos [?]: 385 [1]
Given Kudos: 2380
Send PM
Re: The number of students who attend a school could be divided among 10, [#permalink] New post   27 Jan 2019, 23:00
1
Bookmarks
This is a prime factorisation question.
https://www.mathsisfun.com/prime-factorization.html

\(10=5^1·2^1\)
\(12=2^2·3^1\)
\(16=2^4\)

So the lowest common multiple is \(2^4·3^1·5^1=\)
(C) 240
User avatar
G
KanishkM
Director
Director
Joined: 09 Mar 2018
Posts: 782
Own Kudos [?]: 454 [0]
Given Kudos: 123
Location: India
Schools: DeGroote'21 Desautels '21 NUS '21
Send PM
Re: The number of students who attend a school could be divided among 10, [#permalink] New post   27 Jan 2019, 23:49
Bunuel wrote:
The number of students who attend a school could be divided among 10, 12, or 16 buses, such that each bus transports an equal number of students. What is the minimum number of students that could attend the school?

(A) 120
(B) 160
(C) 240
(D) 320
(E) 480


LCM of 10, 12, or 16 buses, will give you the minimum number of students that could attend the school

C
avatar
JATINANAND
Intern
Intern
Joined: 31 Aug 2018
Posts: 1
Own Kudos [?]: 0 [0]
Given Kudos: 0
Send PM
Re: The number of students who attend a school could be divided among 10, [#permalink] New post   27 Oct 2021, 21:02
Hi there,

There is no direct importance of LCM.

We have to understand question language and solve it by that language.
Suppsue we have X number of equal students, who come by Bus to attend school.

So here, 10X, 12X, and 16X students can attend school.

Now, X is common in all types of Buses and students multiple. We have to find minimum means least. So basically we have to find the least common multiple / LCM.

Then we can talk about LCM. The LCM of these factors is 240.

Thanks and Regards
Jatin Anand :)
User avatar
bumpbot
Non-Human User
Joined: 09 Sep 2013
Posts: 32985
Own Kudos [?]: 828 [0]
Given Kudos: 0
Send PM
Re: The number of students who attend a school could be divided among 10, [#permalink] New post   07 Dec 2023, 06:04
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: The number of students who attend a school could be divided among 10, [#permalink]
07 Dec 2023, 06:04
Moderators:
Bunuel
Math Expert
93243 posts
yashikaaggarwal
Senior Moderator - Masters Forum
3136 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