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The range of the numbers in set S is x, and the range of the

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Re: The range of the numbers in set S is x, and the range of the  [#permalink]

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New post 01 Feb 2017, 20:44
iMyself wrote:
iMyself wrote:
Bunuel wrote:
In the solutions above there are several examples giving TWO different answers to the question. You are considering only cases which give a NO answer but there are examples giving an YES answer.
For example, if S={1, 2, 3, 4, 5, 6, 7} and T={1, 2, 3, 4, 5, 6}, then x=6>5=y, but if S={1, 2, 3, 4, 5, 6, 7} and T={1, 2, 3, 4, 5, 7}, then x=6=y. not sufficient.

The green part is my problem. Probably, the question does not say that S carries more number than T; it says: If all of the numbers in set T are also in set S ONLY. The italic part does not indicate that S carries more values than T.
Here is my analogy, which is given in my previous post.
If i say that all the members of gmatclub can sit in the chair of stadium S, should i assume or infer that there are more chair in this stadium than the number of the members of gmat club? MAY be yes ( more chair than member)or may not be (equal number of chair and member of gmat club). If something is used as MAY, why do we take it as it is 100% sure that there are more values in S than T?
Thank you brother...


It seems that i'm asking you questions after knowing a fact perfectly, but i'm asking it again and again because the question is all about general facts. So, if we think THIS question as a general conversation, then my previous ANALOGY will be correct (may be) in which we should NOT be 100% sure that S carries more values than T. In my analogy, the word ''MAY'' should be considered as HYPOTHETICAL, which is IMAGINED or SUGGESTED NOT REAL or TRUE any more!
I think you get my confusion brother. Thank you brother for giving me enough time after being busy.

Hi Bunuel,
Hope you're well. Am I missing anything to understand this math? Is my logic fallacious?
Thank you brother...
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Re: The range of the numbers in set S is x, and the range of the  [#permalink]

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New post 01 Apr 2017, 10:34
Walkabout wrote:
The range of the numbers in set S is x, and the range of the numbers in set T is y. If all of the numbers in set T are also in set S, is x greater than y?

(1) Set S consists of 7 numbers.
(2) Set T consists of 6 numbers.



Range S=Range T
x=y

All the numbers in set T are also in Set S but Set S may have more numbers than set T.
Let' see.....

(1) That means set T has 7 numbers or less.

Not sufficient.

BCE

(2) That means these 6 numbers are in set S.
Insufficient.

Both statements together:
Set S has 7 numbers and set T has 6 numbers. That means set S has only one number that is not part of set T.

We have no idea about what this 7th number is. Therefore insufficient.

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Re: The range of the numbers in set S is x, and the range of the  [#permalink]

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New post 30 Aug 2017, 14:05
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Walkabout wrote:
The range of the numbers in set S is x, and the range of the numbers in set T is y. If all of the numbers in set T are also in set S, is x greater than y?

(1) Set S consists of 7 numbers.
(2) Set T consists of 6 numbers.


Target question: Is x greater than y?

Given: The range of the numbers in set S is X. The range of the numbers in set T is Y. All of the numbers in set T are also in Set S

Statement 1 contains no information about set T, so statement 1 is NOT SUFFICIENT
Statement 2 contains no information about set S, so statement 2 is NOT SUFFICIENT

Statements 1 and 2 combined
There are several conflicting scenarios that satisfy BOTH statements. Here are two:
Case a: set S = {1, 1, 1, 1, 1, 1, 4}, which means X = 3, and set T = {1, 1, 1, 1, 1, 1}, which means Y = 0. In this case, X IS greater than Y
Case b: set S = {1, 1, 1, 1, 1, 1, 1}, which means X = 0, and set T = {1, 1, 1, 1, 1, 1}, which means Y = 0. In this case, X is NOT greater than Y
Since we cannot answer the target question with certainty, the combined statements are NOT SUFFICIENT

Answer:

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Re: The range of the numbers in set S is x, and the range of the  [#permalink]

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New post 29 Dec 2017, 19:27
Hi

My understanding (given below) to this question culminated me to the wrong option but i didn't find it wrong either. Please help me in resolving this-

S and T are sets in which T is subset of S means each element of T can be found in S as well .

Range of both the sets is different i.e. x and y respective to S and T (i assume it to be different as different symbol is used)

Above are all past of question stem which has to be true in all case

Example used in solution above to prove Options insufficient seems to be flawed if i consider the above question stem i.e. S={1,2,3,4,5,6} and T={1,2,3,4,5,6} , which equilises the range of both set but this example is inconsistent with question stem as range for both the sets is different even all number of T is included in S.

Please clear my doubt.
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Re: The range of the numbers in set S is x, and the range of the  [#permalink]

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New post 29 Dec 2017, 20:38
akbankit wrote:
Hi

My understanding (given below) to this question culminated me to the wrong option but i didn't find it wrong either. Please help me in resolving this-

S and T are sets in which T is subset of S means each element of T can be found in S as well .

Range of both the sets is different i.e. x and y respective to S and T (i assume it to be different as different symbol is used)

Above are all past of question stem which has to be true in all case

Example used in solution above to prove Options insufficient seems to be flawed if i consider the above question stem i.e. S={1,2,3,4,5,6} and T={1,2,3,4,5,6} , which equilises the range of both set but this example is inconsistent with question stem as range for both the sets is different even all number of T is included in S.

Please clear my doubt.


HI akbankit

The question stem does not mentions that range of S & T is different. it simply mentions that range of S is x and range of T is y.

so we can have a situation where x=y or x≠y
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Re: The range of the numbers in set S is x, and the range of the &nbs [#permalink] 29 Dec 2017, 20:38

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