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# If x and z are positive integers and xz = 24 what is the ratio of x to

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Math Expert
Joined: 02 Sep 2009
Posts: 58464
If x and z are positive integers and xz = 24 what is the ratio of x to  [#permalink]

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07 Jan 2018, 23:10
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Difficulty:

25% (medium)

Question Stats:

74% (01:20) correct 26% (01:14) wrong based on 55 sessions

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If x and z are positive integers and xz = 24 what is the ratio of x to z?

(1) x/z is an integer.
(2) z > 1

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examPAL Representative
Joined: 07 Dec 2017
Posts: 1153
Re: If x and z are positive integers and xz = 24 what is the ratio of x to  [#permalink]

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08 Jan 2018, 01:46
Bunuel wrote:
If x and z are positive integers and xz = 24 what is the ratio of x to z?

(1) x/z is an integer.
(2) z > 1

As our product is very small, we'll just list all the options.
This is an Alternative approach.

x and z can be the pair
1,24
2,12
3,8
4,6
(1) is insufficent as it could refer to 1,24 or 2,12.
(2) is insufficinet as it could refer to any of the pairs.
Combined: our only option is x=12 and z=2.
Sufficient!

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Re: If x and z are positive integers and xz = 24 what is the ratio of x to   [#permalink] 08 Jan 2018, 01:46
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