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If 144/x is an integer and 108/x is an integer, which of the [#permalink]
 01 Mar 2012, 10:08
Question Stats:
35% (01:47) correct
64% (01:01) wrong based on 4 sessions
If 144/x is an integer and 108/x is an integer, which of the following must be true? I. 9/x is an integer II. 12/x is an integer III. 36/x is an integer A. I only B. III only C. I and II only D. II and III only E. I, II and III
Last edited by Bunuel on 15 Mar 2012, 03:39, edited 1 time in total.
Edited the question
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Re: If 144/x is an integer and 108/x is an integer, which... [#permalink]
15 Mar 2012, 03:38
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priyalr wrote: Hi,
I didnt get this one. The q askes for which one of the following is an integer. So i plugged in nos. to see, and found that each option is has divisors. On what basis is the answer 36 as d qustn askes for "is an integer" and not greatest factor?
Pls explain,
Thnx If 144/x is an integer and 108/x is an integer, which of the following must be true? I. 9/x is an integer II. 12/x is an integer III. 36/x is an integer A. I only B. III only C. I and II only D. II and III only E. I, II and III The question asks which of the following MUST be true, not COULD be true. The largest possible value of x is 36, GCD of 144 and 108, and if x=36 then ONLY III is true. Answer: B. Check more Must or Could be True Questions to practice: search.php?search_id=tag&tag_id=193Hope it helps.
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Re: If 144/x is an integer and 108/x is an integer, which... [#permalink]
01 Mar 2012, 10:36
36 is the greatest common factor for 144 and 108, so the greatest possible value of X = 36
so, only III is true for all values X
My answer is B
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Re: If 144/x is an integer and 108/x is an integer, which... [#permalink]
15 Mar 2012, 03:28
Hi,
I didnt get this one. The q askes for which one of the following is an integer. So i plugged in nos. to see, and found that each option is has divisors. On what basis is the answer 36 as d qustn askes for "is an integer" and not greatest factor?
Pls explain,
Thnx
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If 144/x is an integer and 108/x is an integer, which of the [#permalink]
03 Feb 2013, 12:24
If \frac{144}{x} is an integer, and \frac{108}{x} is an integer, which of the following must be true?
I. \frac{9}{x} is an integer
II. \frac{12}{x} is an integer
III. \frac{36}{x} is an integer
(A) I only (B) III only (C) I and II only (D) II and III only (E) I, II, and III Source: Gmat Hacks 1800 set. This is a repost, but the previous postings are still confusing. So the way I read this is "If \frac{144}{2} is an integer and \frac{108}{2} is an integer .." but that reasoning seems to be wrong, can someone explain why? Edit - I get it now. It's the "MUST BE TRUE" part that I forgot to factor into. Anyway, if you get that part, this is pretty easy question.
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If 144/x is an integer and 108/x is an integer, which of the
[#permalink]
03 Feb 2013, 12:24
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