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# Pedro has a number cube with 24 faces and an integer between 1 and 24

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Math Expert
Joined: 02 Sep 2009
Posts: 58419
Pedro has a number cube with 24 faces and an integer between 1 and 24  [#permalink]

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17 Dec 2018, 02:23
00:00

Difficulty:

25% (medium)

Question Stats:

88% (00:53) correct 13% (01:30) wrong based on 32 sessions

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Pedro has a number cube with 24 faces and an integer between 1 and 24 on each face. Every number is featured exactly once. When he rolls, what is the probability that the number showing is a factor of 24?

A. 1/6
B. 1/5
C. 1/3
D. 2/3
E. 3/4

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Manager
Joined: 24 Nov 2018
Posts: 107
Location: India
GPA: 3.27
WE: General Management (Retail Banking)
Re: Pedro has a number cube with 24 faces and an integer between 1 and 24  [#permalink]

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17 Dec 2018, 02:27
Bunuel wrote:
Pedro has a number cube with 24 faces and an integer between 1 and 24 on each face. Every number is featured exactly once. When he rolls, what is the probability that the number showing is a factor of 24?

A. 1/6
B. 1/5
C. 1/3
D. 2/3
E. 3/4

Number of factors of 24(2^3*3)=(3+1)*(1+1)=8

The probability that number chosen is a factor of 24=8/24=1/3

IMO, Option C.
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Concentration: Sustainability, Marketing
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Re: Pedro has a number cube with 24 faces and an integer between 1 and 24  [#permalink]

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17 Dec 2018, 04:03
total factors of 24 = 2^3* 3^1 = ( 3+1)*(1+1) = 4*2 = 8

so P () = 8/24 = 1/3 IMO C

Bunuel wrote:
Pedro has a number cube with 24 faces and an integer between 1 and 24 on each face. Every number is featured exactly once. When he rolls, what is the probability that the number showing is a factor of 24?

A. 1/6
B. 1/5
C. 1/3
D. 2/3
E. 3/4
Director
Joined: 27 May 2012
Posts: 906
Re: Pedro has a number cube with 24 faces and an integer between 1 and 24  [#permalink]

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22 Jan 2019, 10:50
Bunuel wrote:
Pedro has a number cube with 24 faces and an integer between 1 and 24 on each face. Every number is featured exactly once. When he rolls, what is the probability that the number showing is a factor of 24?

A. 1/6
B. 1/5
C. 1/3
D. 2/3
E. 3/4

Dear Moderator,

This exact same question has been found in the link below , you may wish to merge the same. Thank you,

https://gmatclub.com/forum/bob-has-a-24 ... l#p2201049
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- Stne
Math Expert
Joined: 02 Sep 2009
Posts: 58419
Re: Pedro has a number cube with 24 faces and an integer between 1 and 24  [#permalink]

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22 Jan 2019, 10:53
stne wrote:
Bunuel wrote:
Pedro has a number cube with 24 faces and an integer between 1 and 24 on each face. Every number is featured exactly once. When he rolls, what is the probability that the number showing is a factor of 24?

A. 1/6
B. 1/5
C. 1/3
D. 2/3
E. 3/4

Dear Moderator,

This exact same question has been found in the link below , you may wish to merge the same. Thank you,

https://gmatclub.com/forum/bob-has-a-24 ... l#p2201049

_________________________
Thank you. Archiving this one.
_________________
Re: Pedro has a number cube with 24 faces and an integer between 1 and 24   [#permalink] 22 Jan 2019, 10:53
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