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# Bob has a 24-sided die with an integer between 1 and 24 on each face.

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Math Expert
Joined: 02 Sep 2009
Posts: 57087
Bob has a 24-sided die with an integer between 1 and 24 on each face.  [#permalink]

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03 Jan 2019, 09:19
00:00

Difficulty:

5% (low)

Question Stats:

87% (01:13) correct 13% (01:07) wrong based on 43 sessions

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Bob has a 24-sided die with 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) 1/3
(B) 1/8
(C) 5/36
(D) 1/6
(E) 7/36

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Joined: 26 Dec 2018
Posts: 142
Location: India
Re: Bob has a 24-sided die with an integer between 1 and 24 on each face.  [#permalink]

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03 Jan 2019, 09:28
Factors of 24 = 1,2,3,4,6,8,12,24 Total 8 No.s
8/24 = 1/3

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Joined: 18 Aug 2017
Posts: 4476
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
Re: Bob has a 24-sided die with an integer between 1 and 24 on each face.  [#permalink]

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06 Jan 2019, 05:52
Bunuel wrote:
Bob has a 24-sided die with 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) 1/3
(B) 1/8
(C) 5/36
(D) 1/6
(E) 7/36

factor of 24 = 2^3 * 3^1 = (3+1)*(1+1) = 8
8/24 =
1/3
IMO A
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Re: Bob has a 24-sided die with an integer between 1 and 24 on each face.   [#permalink] 06 Jan 2019, 05:52
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