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OG The range of the numbers in set S is x

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AbeNeedsAnswers Master | Next Rank: 500 Posts Default Avatar
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OG The range of the numbers in set S is x

Post Tue Aug 22, 2017 7:39 pm
Elapsed Time: 00:00
  • Lap #[LAPCOUNT] ([LAPTIME])
    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

    E

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    Post Fri Aug 25, 2017 9:58 am
    AbeNeedsAnswers 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

    E
    We are given that the range of the numbers in set S is x and that the range of the numbers in set T is y. We also know that all of the numbers in set T are included in set S. We must determine whether x is greater than y or, in other words, whether the range of set S is greater than the range of set T. Recall that the formula for the range of a set of numbers is: range = largest number - smallest number.

    Statement One Alone:

    Set S consists of 7 numbers.

    Without knowing anything about the values of the numbers in set S or anything about set T, statement one alone is not sufficient to answer the question.

    Statement Two Alone:

    Set T consists of 6 numbers.

    Without knowing anything about the values of the numbers in set T or anything about set S, statement two alone is not sufficient to answer the question.

    Statements One and Two Together:

    From statements one and two, we know that set S contains 7 numbers and that set T contains 6 numbers. We also know from the given information that all of the numbers in set T are also in set S. However, we still do not have enough information to determine whether the range of set S is greater than the range of set T. Let’s test a few cases to illustrate.

    Case #1

    set T = {1,2,3,4,5,6}

    y = range of set T = 6 - 1 = 5

    set S = {1,2,3,4,5,6,7}

    x = range of set S = 7 - 1 = 6

    In the above case, x is greater than y.

    Case #2

    set T = {1,2,4,5,6,7}

    y = range of set T = 7 - 1 = 6

    set S = {1,2,3,4,5,6,7}

    x = range of set S = 7 - 1 = 6

    In the above case, x = y.

    Answer: E

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    Post Wed Aug 30, 2017 2:03 pm
    AbeNeedsAnswers 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: E

    Cheers,
    Brent

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