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# If x is a multiple of 5, y is a factor of 16, and z is a factor of 40,

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Senior RC Moderator
Joined: 02 Nov 2016
Posts: 4089
GPA: 3.39
If x is a multiple of 5, y is a factor of 16, and z is a factor of 40,  [#permalink]

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15 Apr 2017, 00:42
6
00:00

Difficulty:

55% (hard)

Question Stats:

58% (02:08) correct 42% (01:59) wrong based on 72 sessions

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If x is a multiple of 5, y is a factor of 16, and z is a factor of 40, which of the following must be true?

I. xy is a multiple of z.
II. xy is not a factor of z.
III. xy is a factor of z.

A. None of the above
B. I only
C. II only
D. III only
E. I and II only

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Retired Moderator
Joined: 04 Aug 2016
Posts: 479
Location: India
GPA: 4
WE: Engineering (Telecommunications)
Re: If x is a multiple of 5, y is a factor of 16, and z is a factor of 40,  [#permalink]

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15 Apr 2017, 01:21
1
We can take test cases and negate each of the following.

Since it is must be true, option A
Manager
Joined: 23 Aug 2017
Posts: 117
Re: If x is a multiple of 5, y is a factor of 16, and z is a factor of 40,  [#permalink]

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05 Feb 2019, 05:20
How to approach for these kinds of problems? Is there any better alternative than plugging in values? If we need to plug in then how to choose the best value for plugging in?

Re: If x is a multiple of 5, y is a factor of 16, and z is a factor of 40,   [#permalink] 05 Feb 2019, 05:20
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