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If m and n are distinct positive integers such that n is
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16 Nov 2020, 05:26
16 Nov 2020, 05:26
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If m and n are distinct positive integers such that n is divisible by m, and m is divisible by 3, which of the following statements must be true?
Indicate all such statements.
A. n is divisible by 3
B. n=3m
C. n has more than 3 positive factors
Kudos for the right solution and explanation
Source: 320 GRE Math Questions
Indicate all such statements.
A. n is divisible by 3
B. n=3m
C. n has more than 3 positive factors
Kudos for the right solution and explanation
Source: 320 GRE Math Questions
Re: If m and n are distinct positive integers such that n is
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16 Nov 2020, 22:25
16 Nov 2020, 22:25
1
[quote="Carcass"]If m and n are distinct positive integers such that n is divisible by m, and m is divisible by 3, which of the following statements must be true?
Indicate all such statements.
A. n is divisible by 3
B. n=3m
C. n has more than 3 positive factors
If n = 9 and m = 3.
n is divisible by 3 and has 1, 3, 9 as factors. Condition 1 is being satisfied but condition 3 is not being satisfied.
If n = 6 and m = 3.
n is not equal to 3m. Condition 2 is not being satisfied.
Hence A is the right answer.
Indicate all such statements.
A. n is divisible by 3
B. n=3m
C. n has more than 3 positive factors
If n = 9 and m = 3.
n is divisible by 3 and has 1, 3, 9 as factors. Condition 1 is being satisfied but condition 3 is not being satisfied.
If n = 6 and m = 3.
n is not equal to 3m. Condition 2 is not being satisfied.
Hence A is the right answer.
Re: If m and n are distinct positive integers such that n is
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18 Apr 2022, 16:22
18 Apr 2022, 16:22
2
C should also be one of the answers.
ex: n=54, m=6.
Both A and C hold true in this case. So do all the other conditions.
ex: n=54, m=6.
Both A and C hold true in this case. So do all the other conditions.
