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27 Sep 2022, 03:24
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B
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Difficulty:
95%
(hard)
Question Stats:
39% (01:51) correct
61%
(01:45)
wrong
based on 229
sessions
History
Date
Time
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Not Attempted Yet
If M = 12^n, where n is a non-negative single digit integer, what is the probability 789453 is a multiple of M?
A. 0
B. 1/10
C. 1/2
D. 4/5
E. 9/10
A. 0
B. 1/10
C. 1/2
D. 4/5
E. 9/10
25 Oct 2023, 08:34
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rayjaycleoful
If M = 12^n, where n is a non-negative single digit integer, what is the probability 789453 is a multiple of M?
A. 0
B. 1/10
C. 1/2
D. 4/5
E. 9/10
First, observe that since n is a non-negative single-digit integer, it can be one of the following 10 numbers: 0, 1, 2, 3, 4, 5, 6, 7, 8, or 9.
The only scenario in which 789,453 is a multiple of 12^n is when n = 0. In this case, 12^0 is 1, and thus 789,453 will be a multiple of 12^n. For all other values of n, 12^n will be even, and the odd number 789,453 will not be a multiple of the even number 12^n.
Therefore, the probability is 1/10.
Answer: B.
General Discussion
genericUser
Joined: 31 Jan 2022
Last visit: 22 Dec 2023
Posts: 111
Given Kudos: 35
Location: Italy
Schools: SDA Bocconi "24 (M)
GMAT 1: 670 Q49 V33
GMAT 2: 690 Q47 V37
GPA: 3.9
Updated on: 28 Sep 2022, 00:14
Originally posted by genericUser on 27 Sep 2022, 06:49.
Last edited by genericUser on 28 Sep 2022, 00:14, edited 1 time in total.
Last edited by genericUser on 28 Sep 2022, 00:14, edited 1 time in total.
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If M = 12^n, where n is a non-negative single digit integer, what is the probability 789453 is a multiple of M?
n=1,2,3,...
12 is even, Even*Even=Even, 789453 is odd.
A
Edit: revomed alternative solution because I did not fully understood the stem
A. 0
B. 1/10
C. 1/2
D. 4/5
E. 9/10
n=1,2,3,...
12 is even, Even*Even=Even, 789453 is odd.
A
Edit: revomed alternative solution because I did not fully understood the stem
A. 0
B. 1/10
C. 1/2
D. 4/5
E. 9/10
