Set M contains numbers that satisfy the condition that, if

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Set M contains numbers that satisfy the condition that, if [#permalink]

17 Sep 2012, 05:54

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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, 06:50, edited 1 time in total.

Edited the question.

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Re: Set M contains numbers that satisfy the condition that, if [#permalink]

17 Sep 2012, 06:09

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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Re: Set M contains numbers that satisfy the condition that, if [#permalink]

17 Sep 2012, 06:53

Vamshi8411 wrote:

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, 06:53

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Set M contains numbers that satisfy the condition that, if

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Set M contains numbers that satisfy the condition that, if

Set M contains numbers that satisfy the condition that, if

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