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

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17 Sep 2012, 05:54

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Difficulty:

45% (medium)

Question Stats:

45% (01:35) correct
55% (00:46) wrong based on 158 sessions

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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

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

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17 Sep 2012, 06:53

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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.

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

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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. _________________

I will rather do nothing than be busy doing nothing - Zen saying

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

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03 Dec 2014, 05:10

Pansi wrote:

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.

why -7 could be in the list? Why not must? why can't we use the rule backward?

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

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03 Dec 2014, 06:56

Expert's post

evdo wrote:

Pansi wrote:

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.

why -7 could be in the list? Why not must? why can't we use the rule backward?

thanks

If integer x is in the set then x+3 will also be in the set does NOT mean that the reverse must be true.

If integer x is in the set then x+3 will also be in the set does NOT mean that if integer x+3 is in the set then x must also be in the set.

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

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16 Dec 2015, 07:58

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