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Set S consists of distinct numbers such that the difference between any two different elements of set S is an integer. How many elements does set S contain? 1. The difference between any two different elements of set S is 2 2. The range of set S is 2 Source: GMAT Club Tests - hardest GMAT questions
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Re: GMATCLUB M14#18 [#permalink]
 02 Feb 2009, 22:11
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topmbaseeker wrote: Set S consists of distinct numbers such that the difference between any two different elements of set S is an integer. How many elements does set S contain?
1. The difference between any two different elements of set S is 2
2. The range of set S is 2 A. 1. If the difference between any two different elements of set S is 2, then there are two elements in the set S. If gthere are more than 2 elements, the the diff. betweeen any two diffeent elements would not be 2. so suff. 2. If the range of set S is 2, there could be 2 or 3 elements in the set S. For ex: If the elements are 1.5 and 3.5, the range is 2 and it has 2 elements. If the elements are 1, 2 and 3, the range is 2 and there are 3 elements. so nsf..
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Re: GMATCLUB M14#18 [#permalink]
03 Feb 2009, 01:41
It should be B.
From stmt1, the elements could be 1.1, 3.1, 5.1, 7.1, 9.1,......and so on.
From stmt2: the elements could be 0.1, 1.1, 2.1 or any such other combination. Hence, the number of elements will always be three.
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Re: GMATCLUB M14#18 [#permalink]
03 Feb 2009, 01:47
scthakur wrote: From stmt1, the elements could be 1.1, 3.1, 5.1, 7.1, 9.1,......and so on. 1. The difference between any two different elements of set S is 2 In your example, 9.1-1.1=8 (not 2). So, it doesn't work. scthakur wrote: From stmt2: the elements could be 0.1, 1.1, 2.1 or any such other combination. Hence, the number of elements will always be three. set {0,2} also satisfies second condition but the number of elements is 2.
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Re: GMATCLUB M14#18 [#permalink]
03 Feb 2009, 01:50
walker wrote: scthakur wrote: From stmt1, the elements could be 1.1, 3.1, 5.1, 7.1, 9.1,......and so on. 1. The difference between any two different elements of set S is 2 In your example, 9.1-1.1=8 (not 2). So, it doesn't work. scthakur wrote: From stmt2: the elements could be 0.1, 1.1, 2.1 or any such other combination. Hence, the number of elements will always be three. set {0,2} also satisfies second condition but the number of elements is 2. Thanks walker! I completely missed it. I agree with A.
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topmbaseeker wrote: Set S consists of distinct numbers such that the difference between any two different elements of set S is an integer. How many elements does set S contain? 1. The difference between any two different elements of set S is 2 2. The range of set S is 2 Source: GMAT Club Tests - hardest GMAT questions Its A as from statement 1 it can said that there are two elements and their difference is 2.
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Re: GMATCLUB M14#18 [#permalink]
01 Mar 2010, 08:04
scthakur wrote: walker wrote: scthakur wrote: From stmt1, the elements could be 1.1, 3.1, 5.1, 7.1, 9.1,......and so on. 1. The difference between any two different elements of set S is 2 In your example, 9.1-1.1=8 (not 2). So, it doesn't work. scthakur wrote: From stmt2: the elements could be 0.1, 1.1, 2.1 or any such other combination. Hence, the number of elements will always be three. set {0,2} also satisfies second condition but the number of elements is 2. Thanks walker! I completely missed it. I agree with A. My big problem is not completely reading the question and understanding what it is actually asking for. I read gmat-experience-tips-760-51q-44v-6-0-awa-89590.html and now I read the question 2 times before ever looking at any of the answers. Early on I would seem to answer the wrong question a lot. Just reading the question twice and then rereading it again after I have my answer has helped me catch a lot of gotchas in my practice questions. Hope that helps.
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Could someone please explain how they obtained A?
How does that entail how many distinct integers in a set?
Thanks
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any set can have only 2 elements if the difference between any two of the elements are same
ex: s1 ={4,2} difference bewteen them is 2
s1= {4,2,4} then if we choose 4,4 then diff will be 0
so ans is A
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1 => for difference between any two elements to be 2 there must be only 2 elements in the set. Hence this is sufficient. 2 => Range can be the same for a sets with different number of elements Therefore 1 is sufficient.
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Answer is A because range will not tell how many different elements are there in domain.
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1. The difference between any two different elements of set S is 2
If a-b=2 then b-a=-2, so S is an empty set.
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If set a is {4,2} then the difference between the 2nd number and the first number is not 2 but -2. Hence its insufficient. Can someone please enlighten. Should the question statement not say mod of the difference between any two different elements of set is 2 ? 
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I had seen a very similar question before. This allowed me to get to answer A relatively quickly. Good question!
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topmbaseeker wrote: Set S consists of distinct numbers such that the difference between any two different elements of set S is an integer. How many elements does set S contain? 1. The difference between any two different elements of set S is 2 2. The range of set S is 2 Source: GMAT Club Tests - hardest GMAT questions 1: how to get any two diffferent elements is 2... we cant get 2 as difference between any two different elements if we have more than 2 elements... take any example , u cant come with a 3 element set where there difference between any two element is 2.. can we? i am doubtful on it... so 1 is SUFFICIENT 2: range is 2, does not mean only 2 elements.. this is known by all... hence Not sufficient hence A is my answer.. can somebody tell me if this is fine?
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It seems that i can't get any set where the difference between any two numbers is equal to 2. Statement 1 cannot be sufficient by itself. Can someone please give me an example of a set containing TWO numbers where their difference is always equal to 2. Thanks
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Rock750 wrote: It seems that i can't get any set where the difference between any two numbers is equal to 2. Statement 1 cannot be sufficient by itself.
Can someone please give me an example of a set containing TWO numbers where their difference is always equal to 2.
Thanks Consider set S={0,2}The difference between the elements is 2. The question says that S contains distinct integers, and A says that the difference between any two elements is 2. now consider set M for example {0,2,4} This respect the question (distinct integers) but goes against A (the difference between 0 and 4 is 4, not 2) With A we can enstablish that the set has only two elements. Is it clear? let me know
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Zarrolou wrote: Rock750 wrote: It seems that i can't get any set where the difference between any two numbers is equal to 2. Statement 1 cannot be sufficient by itself.
Can someone please give me an example of a set containing TWO numbers where their difference is always equal to 2.
Thanks Consider set S={0,2}The difference between the elements is 2. The question says that S contains distinct integers, and A says that the difference between any two elements is 2. now consider set M for example {0,2,4} This respect the question (distinct integers) but goes against A (the difference between 0 and 4 is 4, not 2) With A we can enstablish that the set has only two elements. Is it clear? let me know Hey Zarrolou If you consider the set S={0,2} , the difference between ANY two elements you will get will not equal to 2. For instance, 2 - 0 = 0 BUT 0-2 = -2 SO the difference between 0 and -2 is not equal to 2. I think the stem would have been much clearer if it stated the positive difference instead don't you think ?
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