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M14-18

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M14-18 [#permalink]

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New post 16 Sep 2014, 00:53
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If set \(S\) contain more than 1 element, how many elements does set \(S\) contain?


(1) The difference between any two elements of set \(S\) is 2.

(2) The range of set \(S\) is 2.

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Re M14-18 [#permalink]

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New post 16 Sep 2014, 00:53
Official Solution:


(1) The difference between any two elements of set \(S\) is 2. Since the difference between ANY two elements is 2 then there cannot be more than 2 elements in the set, else we could select some particular two elements whose difference wouldn't be 2. Sufficient.

(2) The range of set \(S\) is 2. Clearly insufficient, consider: \(S=\{0, 2\}\) and \(S=\{0, 0, 2\}\).


Answer: A
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Collection of Questions:
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Re: M14-18 [#permalink]

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New post 29 Nov 2014, 13:52
Dear Math God Bunuel,
is there a way of solving this problem using algebra?
I tried solving the equations for statement (1) : x-y=2 and y-x=2 but I could not find any solution.
What would be a pair of numbers, which could be in set S ?
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M14-18 [#permalink]

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New post 02 Mar 2017, 01:59
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Bunuel wrote:
If set \(S\) contain more than 1 element, how many elements does set \(S\) contain?


(1) The difference between any two elements of set \(S\) is 2.

(2) The range of set \(S\) is 2.


Dear Bunuel,
One questions, here....... Stmt 1 says : - The difference between any two elements of set S is 2
Now, if the set elements are {0,2} difference between first element and the second element is not 2 its -2 i.e 0-2 = -2

i could not construct a set where the difference between ANY 2 ELEMENTS is 2;
Perhaps, it could be that the +ve difference or mod of the difference of the 2 elements ....is a more accurate statement.

Please correct my understanding above.
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Re: M14-18 [#permalink]

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New post 07 Mar 2017, 01:35
grsm wrote:
Bunuel wrote:
If set \(S\) contain more than 1 element, how many elements does set \(S\) contain?


(1) The difference between any two elements of set \(S\) is 2.

(2) The range of set \(S\) is 2.


Dear Bunuel,
One questions, here....... Stmt 1 says : - The difference between any two elements of set S is 2
Now, if the set elements are {0,2} difference between first element and the second element is not 2 its -2 i.e 0-2 = -2

i could not construct a set where the difference between ANY 2 ELEMENTS is 2;
Perhaps, it could be that the +ve difference or mod of the difference of the 2 elements ....is a more accurate statement.

Please correct my understanding above.


You are right. Edited as suggested. Thank you.
_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

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. ,11 Mixed Questions, 12 Fresh Meat

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., 11 New DS set.


What are GMAT Club Tests?
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Re: M14-18   [#permalink] 07 Mar 2017, 01:35
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