Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized for You

we will pick new questions that match your level based on your Timer History

Track Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:

Re: If 144/x is an integer and 108/x is an integer, which... [#permalink]
15 Mar 2012, 02:38

1

This post received KUDOS

Expert's post

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.

Re: If 144/x is an integer and 108/x is an integer, which... [#permalink]
15 Mar 2012, 02:28

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?

If 144/x is an integer and 108/x is an integer, which of the [#permalink]
03 Feb 2013, 11:24

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. _________________

Re: If 144/x is an integer and 108/x is an integer, which of the [#permalink]
26 May 2014, 03:32

can admin please help on this one......... the way i see is x can be 1 or 2 or 3

how do we decide whether 9/x , 12/x or 36/x is an integer if i chose x as 1 still {144}/{x} is an integer, and {108}/{x} is also an integer...same happens when i chose 2 but x as 1 and x as 2 given me differnt answer choices

Re: If 144/x is an integer and 108/x is an integer, which of the [#permalink]
26 May 2014, 05:32

Expert's post

tyagigar wrote:

can admin please help on this one......... the way i see is x can be 1 or 2 or 3

how do we decide whether 9/x , 12/x or 36/x is an integer if i chose x as 1 still {144}/{x} is an integer, and {108}/{x} is also an integer...same happens when i chose 2 but x as 1 and x as 2 given me differnt answer choices

x could be 1, 2, 3, 4, 6, 9, 12, 18 or 36 (these are common factors of 144 and 108). The question asks which of the options MUST be an integer. Now, only 36/x is an integer for all possible values of x.