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If x and y are positive integers, and 4x is the least

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GRE Instructor
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Joined: 10 Apr 2015
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Kudos [?]: 1110 [1] , given: 7

If x and y are positive integers, and 4x is the least [#permalink] New post 21 May 2018, 06:38
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Question Stats:

57% (01:58) correct 42% (01:54) wrong based on 7 sessions
If x and y are positive integers, and 4x is the least common multiple of x and y, which of the following MUST be true?

i) x is the greatest common divisor of x and y
ii) x = y/4
iii) x is a multiple of 4

A) i only
B) ii only
C) iii only
D) ii and iii only
E) none
[Reveal] Spoiler: OA

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GRE Instructor
User avatar
Joined: 10 Apr 2015
Posts: 1232
Followers: 45

Kudos [?]: 1110 [0], given: 7

Re: If x and y are positive integers, and 4x is the least [#permalink] New post 23 May 2018, 10:16
Expert's post
GreenlightTestPrep wrote:
If x and y are positive integers, and 4x is the least common multiple of x and y, which of the following MUST be true?

i) x is the greatest common divisor of x and y
ii) x = y/4
iii) x is a multiple of 4

A) i only
B) ii only
C) iii only
D) ii and iii only
E) none


Let's find some values for x and y that satisfy the given information and see what happens....

If x = 3 and y = 4, then the least common multiple of x and y is 12.
Notice that 12 = 4x, so x = 3 and y = 4 work perfectly.

Now let's plug x = 3 and y = 4 into the statements...
i) 3 is the greatest common divisor of 3 and 4
NOT TRUE. 1 is the greatest common divisor of 3 and 4

ii) 3 = 4/4
NOT TRUE

iii) 3 is a multiple of 4
NOT TRUE

Answer: E

Cheers,
Brent
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Brent Hanneson – Creator of greenlighttestprep.com
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Re: If x and y are positive integers, and 4x is the least   [#permalink] 23 May 2018, 10:16
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If x and y are positive integers, and 4x is the least

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