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If c and d are positive integers, d ≥ 3, and c/9 = d, then which of

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If c and d are positive integers, d ≥ 3, and c/9 = d, then which of  [#permalink]

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New post Updated on: 17 Jan 2018, 09:14
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If c and d are positive integers, d ≥ 3, and c/9 = d, then which of the following must be true?

A) c is a factor of 9
B) c is a factor of d
C) d is a divisor of c
D) 9 is a divisor of d
E) d is a factor of 9

Originally posted by destinyawaits on 17 Jan 2018, 09:00.
Last edited by Bunuel on 17 Jan 2018, 09:14, edited 1 time in total.
Renamed the topic and added the OA.
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Re: If c and d are positive integers, d ≥ 3, and c/9 = d, then which of  [#permalink]

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New post 17 Jan 2018, 09:25
If c and d are positive integers, d ≥ 3, and c/9 = d, then which of the following must be true?

c/9 = d;
c/d = 9;
c = 9d.

A) c is a factor of 9 --> not true because c > 9 (c = 9d).

B) c is a factor of d --> not true because c > d (c = 9d).

C) d is a divisor of c --> TRUE: c/9 = d --> c/d = 9, so d is a factor of c.

D) 9 is a divisor of d --> not necessarily true, consider c = 27 and d = 3.

E) d is a factor of 9 --> not necessarily true, consider c = 18 and d = 2.

Answer: C.
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Re: If c and d are positive integers, d ≥ 3, and c/9 = d, then which of  [#permalink]

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New post 27 May 2019, 20:49
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Re: If c and d are positive integers, d ≥ 3, and c/9 = d, then which of   [#permalink] 27 May 2019, 20:49
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