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Set M contains numbers that satisfy the condition that, if

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Joined: 24 Jul 2012
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Kudos [?]: 5 [0], given: 7

Set M contains numbers that satisfy the condition that, if [#permalink] New post 17 Sep 2012, 04:54
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Question Stats:

47% (01:35) correct 53% (00:47) wrong based on 77 sessions
Set M contains numbers that satisfy the condition that, if integer x is in the set then x+3 will also be in the set M. If -4 is one of the value in the set, which of the following numbers must also be present in the set M.

I. -7
II. -1
III. 2

A. I only
B. II only
C. I and II only
D. II and III only
E. I, II and III
[Reveal] Spoiler: OA

Last edited by Bunuel on 17 Sep 2012, 05:50, edited 1 time in total.
Edited the question.
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Kudos [?]: 28 [0], given: 84

Re: Set M contains numbers that satisfy the condition that, if [#permalink] New post 17 Sep 2012, 05:09
If -4 is part of the list, then -4+3(i.e -1) & -1+3(i.e 2) "MUST" be part of the set. Whereas -4-3(i.e -7) "COULD" be a part of the list
Hence D is the answer.
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Kudos [?]: 28986 [0], given: 2874

Re: Set M contains numbers that satisfy the condition that, if [#permalink] New post 17 Sep 2012, 05:53
Expert's post
Vamshi8411 wrote:
Set M contains numbers that satisfy the condition that, if integer x is in the set then x+3 will also be in the set M. If -4 is one of the value in the set, which of the following numbers must also be present in the set M.

I. -7
II. -1
III. 2

A. I only
B. II only
C. I and II only
D. II and III only
E. I, II and III


Notice that we are asked "which of the following numbers MUST also be present in the set M" not "COULD be in the set".

Now, if -4 is in the set, then -4+3=-1 must be in the set. Since -1 is in the set then -1+3=2 must be in the set. Could -7 be in the set? Certainly, but we don't know that for sure.

Answer: D.

Hope it's clear.
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Re: Set M contains numbers that satisfy the condition that, if   [#permalink] 17 Sep 2012, 05:53
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Set M contains numbers that satisfy the condition that, if

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