BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem

The number of students who attend a school could be divided among 10, 12, or 16 buses, such that each bus transports...

This topic has expert replies
Post new topic Post Reply
Previous Topic Next Topic
Moderator
Posts: 2599
Joined: Sun Oct 29, 2017 2:08 pm
Followed by:2 members

The number of students who attend a school could be divided among 10, 12, or 16 buses, such that each bus transports...

by AAPL » Fri Aug 14, 2020 4:17 am

Timer

00:00

Your Answer

A

B

C

D

E

Global Stats

Manhattan Prep

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

OA C
Top
Source: — Problem Solving |

GMAT/MBA Expert

User avatar
GMAT Instructor
Posts: 16207
Joined: Mon Dec 08, 2008 6:26 pm
Location: Vancouver, BC
Thanked: 5254 times
Followed by:1268 members
GMAT Score:770

Re: The number of students who attend a school could be divided among 10, 12, or 16 buses, such that each bus transports

by Brent@GMATPrepNow » Fri Aug 14, 2020 6:42 am
AAPL wrote: ↑
Fri Aug 14, 2020 4:17 am
 Manhattan Prep

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

OA C
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
Brent Hanneson - Creator of GMATPrepNow.com
Image
Top
Post new topic Post Reply
• Page 1 of 1