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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

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Question Stats:

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
[#permalink]
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
[#permalink]
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.

gmatclubot

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