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For a certain set of numbers, if x is in the set, then x - 3

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For a certain set of numbers, if x is in the set, then x - 3 [#permalink] New post 30 Jul 2012, 07:45
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For a certain set of numbers, if x is in the set, then x - 3 is also in the set. If the number 1 is in the set , which of the following must also be in the set ?

a) 4
b) -1
c) -5

A. a only,
B. b only,
C. c only,
D. a and b only
E. b and c only

I need to know why can't x-3 = 1 be considered? if yes then x = 4 (which is not the answer :? )
[Reveal] Spoiler: OA

Last edited by Bunuel on 30 Jul 2012, 07:54, edited 2 times in total.
Renamed the topic.
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Re: For a certain set of numbers, if x is in the set, then x - 3 [#permalink] New post 30 Jul 2012, 08:02
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jayoptimist wrote:
For a certain set of numbers, if x is in the set, then x - 3 is also in the set. If the number 1 is in the set , which of the following must also be in the set ?

a) 4
b) -1
c) -5

A. a only,
B. b only,
C. c only,
D. a and b only
E. b and c only

I need to know why can't x-3 = 1 be considered? if yes then x = 4 (which is not the answer :? )


Notice that the question asks which of the following MUST be in the set, not COULD be in the set.

Since 1 is in the set, then so must be 1-3=-2. Similarly, since -2 is in the set, then so must be -2-3=-5. Could 4 and -1 be in the set? Certainly, but we don't know that for sure.

Answer: C.

Regarding your question: we don't know which is the source integer in the set, if it's 1, then 4 won't be in the set but if the source integer is say 7, then 4 will be in the set. So, 4 may or may not be in the set.

Similar questions to practice:
a-set-of-numbers-has-the-property-that-for-any-number-t-in-t-98829.html
k-is-a-set-of-integers-such-that-if-the-integer-r-is-in-k-103005.html

P.S. Please read and follow: rules-for-posting-please-read-this-before-posting-133935.html (rule #3).
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For a certain set of numbers, if x is in the set, x-3 is als [#permalink] New post 30 Dec 2012, 17:22
For a certain set of numbers, if x is in the set, x-3 is also in the set. If the number 1 is in the set, which of the following must also be in the set
I) 4
II) -1
III) -5

the answer is III only, means -5.

They are reasoning that, 1 in the set, so -2 also in the set, so -5 also in the set, so -8 also in the set.

I wonder why 4 can't be in the set??? let consider 1 is x-3, not x, hence x = 4.
What is the trap of GMAT here?

(I always have problem with the trap of gmat)
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Re: For a certain set of numbers, if x is in the set, x-3 is als [#permalink] New post 30 Dec 2012, 21:40
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akhandamandala wrote:
For a certain set of numbers, if x is in the set, x-3 is also in the set. If the number 1 is in the set, which of the following must also be in the set
I) 4
II) -1
III) -5

the answer is III only, means -5.

They are reasoning that, 1 in the set, so -2 also in the set, so -5 also in the set, so -8 also in the set.

I wonder why 4 can't be in the set??? let consider 1 is x-3, not x, hence x = 4.
What is the trap of GMAT here?

(I always have problem with the trap of gmat)


We can look at this as a cause and effect problem. "x" is the cause and "x-3" is the effect. i.e. We are given that is "x" is in the set "x-3" is also in the set. The reverse need not necessarily be true. We cannot take the effect to be the cause.
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Re: For a certain set of numbers, if x is in the set, x-3 is als [#permalink] New post 31 Dec 2012, 03:06
akhandamandala wrote:
For a certain set of numbers, if x is in the set, x-3 is also in the set. If the number 1 is in the set, which of the following must also be in the set
I) 4
II) -1
III) -5

the answer is III only, means -5.

They are reasoning that, 1 in the set, so -2 also in the set, so -5 also in the set, so -8 also in the set.

I wonder why 4 can't be in the set??? let consider 1 is x-3, not x, hence x = 4.
What is the trap of GMAT here?

(I always have problem with the trap of gmat)


Merging similar topics. Please refer to the solutions above.
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COLLECTION OF QUESTIONS:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. NEW!!! ,11 Mixed Questions NEW!!!, 12 Fresh Meat NEW!!!

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS ; 9 Devil's Dozen!!!; 10 Number Properties set. NEW!!!, 11 New DS set. NEW!!!


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Re: For a certain set of numbers, if x is in the set, then x - 3 [#permalink] New post 31 Dec 2012, 12:11
great!!!, thanks guys :-D
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Re: For a certain set of numbers, if x is in the set, then x - 3 [#permalink] New post 31 Dec 2012, 12:21
jayoptimist wrote:
For a certain set of numbers, if x is in the set, then x - 3 is also in the set. If the number 1 is in the set , which of the following must also be in the set ?

a) 4
b) -1
c) -5

A. a only,
B. b only,
C. c only,
D. a and b only
E. b and c only

I need to know why can't x-3 = 1 be considered? if yes then x = 4 (which is not the answer :? )


I call them Verbal diaorea of GMAT. You have to follow these verbal vomits carefully. When they say x-3 is there only x-3 is guaranteed to be there nothing else. And so here you can not travel to the side of the stream.
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Re: For a certain set of numbers, if x is in the set, then x - 3 [#permalink] New post 31 Dec 2012, 17:56
maibhihun wrote:
jayoptimist wrote:
For a certain set of numbers, if x is in the set, then x - 3 is also in the set. If the number 1 is in the set , which of the following must also be in the set ?

a) 4
b) -1
c) -5

A. a only,
B. b only,
C. c only,
D. a and b only
E. b and c only

I need to know why can't x-3 = 1 be considered? if yes then x = 4 (which is not the answer :? )


I call them Verbal diaorea of GMAT. You have to follow these verbal vomits carefully. When they say x-3 is there only x-3 is guaranteed to be there nothing else. And so here you can not travel to the side of the stream.


that's true, I have no problem with math, but I have quite problem with those kinds of "Verbal diaorea of GMAT". Hope exercises will help much. Thanks
Re: For a certain set of numbers, if x is in the set, then x - 3   [#permalink] 31 Dec 2012, 17:56
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