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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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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...
_________________

“The heights by great men reached and kept were not attained in sudden flight but, they while their companions slept, they were toiling upwards in the night.” ― Henry Wadsworth Longfellow

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

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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.

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