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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
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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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New post 07 Jan 2018, 23:10
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A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

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

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

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New post 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!

(C) is our answer.
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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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If x and z are positive integers and xz = 24 what is the ratio of x to

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