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A gym class can be divided into 8 teams with an equal number

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A gym class can be divided into 8 teams with an equal number [#permalink] New post 03 Dec 2012, 03:20
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A gym class can be divided into 8 teams with an equal number of players on each team or into 12 teams with an equal number of players on each team. What is the lowest possible number of students in the class?

(A) 20
(B) 24
(C) 36
(D) 48
(E) 96
[Reveal] Spoiler: OA
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Re: A gym class can be divided into 8 teams with an equal number [#permalink] New post 03 Dec 2012, 03:22
Expert's post
A gym class can be divided into 8 teams with an equal number of players on each team or into 12 teams with an equal number of players on each team. What is the lowest possible number of students in the class?

(A) 20
(B) 24
(C) 36
(D) 48
(E) 96

The lowest possible number of students in the class will be the lowest common multiple of 8 and 12, which is 24.

Answer: B.
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Re: A gym class can be divided into 8 teams with an equal number [#permalink] New post 11 Sep 2014, 03:01
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Walkabout wrote:
A gym class can be divided into 8 teams with an equal number of players on each team or into 12 teams with an equal number of players on each team. What is the lowest possible number of students in the class?

(A) 20
(B) 24
(C) 36
(D) 48
(E) 96




x/8 - integer
x/12- integer

24 divisible by both value( lowest possible number)
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Re: A gym class can be divided into 8 teams with an equal number [#permalink] New post 05 Jan 2015, 21:04
Walkabout wrote:
A gym class can be divided into 8 teams with an equal number of players on each team or into 12 teams with an equal number of players on each team. What is the lowest possible number of students in the class?

(A) 20
(B) 24
(C) 36
(D) 48
(E) 96



it is not given that the teams must be of equal in number. why cant answer be 12+8 ?
any comments ??
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Re: A gym class can be divided into 8 teams with an equal number [#permalink] New post 05 Jan 2015, 21:27
gpitchuka wrote:
Walkabout wrote:
A gym class can be divided into 8 teams with an equal number of players on each team or into 12 teams with an equal number of players on each team. What is the lowest possible number of students in the class?

(A) 20
(B) 24
(C) 36
(D) 48
(E) 96



it is not given that the teams must be of equal in number. why cant answer be 12+8 ?
any comments ??


A gym class can be divided into 8 teams with an equal number of players on each team or into 12 teams with an equal number of players on each team. What is the lowest possible number of students in the class?

so the question does mention that
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Re: A gym class can be divided into 8 teams with an equal number [#permalink] New post 06 Jan 2015, 10:22
Expert's post
Hi All,

This question is ultimately about finding the Least Common Multiple of 8 and 12. However, even if you did not realize that fact, the answer choices are numbers and we're asked to find the LEAST number of students that could be divided into 8 EQUAL teams OR 12 EQUAL teams. We can TEST THE ANSWERS until we find the match....

Let's start with the smallest and work our way up...

Answer A: 20 students. We CANNOT divide 20 students into 8 equal groups (you can't have "half a student"). Eliminate A.

Answer B: 24 students. We CAN divide 24 students into 8 groups of 3 OR 12 groups of 2. This FITS what we're looking for, so this MUST be the answer.

Final Answer:
[Reveal] Spoiler:
B


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Re: A gym class can be divided into 8 teams with an equal number [#permalink] New post 08 Jan 2015, 01:44
Just require to find the LCM of 8 & 12 = 24

Answer = B
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Re: A gym class can be divided into 8 teams with an equal number [#permalink] New post 15 Jun 2015, 13:24
I found the Lowest Common Multiple of 8 and 12 by prime factorization.
8=2^3
12=2^2*3

Now I took the highest power of each prime and multiplied them together.

2^3 *3= 24.
Re: A gym class can be divided into 8 teams with an equal number   [#permalink] 15 Jun 2015, 13:24
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