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Ashujain Really wants to Beat The GMAT!
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Median Post Thu Jun 07, 2012 8:44 pm
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  • Lap #[LAPCOUNT] ([LAPTIME])
    Set A has 20 numbers and Set B has 40 numbers. Is the range of B greater than 45?

    1) The range of sets A and B combined exceeds 50.
    2) Tha range of b > range of A

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    Anurag@Gurome GMAT Instructor
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    Post Thu Jun 07, 2012 8:59 pm
    Ashujain wrote:
    Set A has 20 numbers and Set B has 40 numbers. Is the range of B greater than 45?

    1) The range of sets A and B combined exceeds 50.
    2) The range of B > range of A
    I'm going to solve this by plugging numbers.

    My intuition says, the statements do not provide any solid pointer to answer the question. Hence, I'm making a guess that both of them together are not sufficient. And accordingly I'll pick numbers and try to show that. If I fail at that, I'll try otherwise.

    Take the following to cases...
    Case 1:
      A = {0, 0, ..., 25}, i.e. nineteen zeroes and 25
      B ={0, 0, ..., 50}, i.e. 39 zeroes and 50
      Range of A = (25 - 0) = 25
      Range of B = (50 - 0) = 50

    Case 2:
      A = {0, 0, ..., 25}, i.e. nineteen zeroes and 25
      B ={0, 0, ..., 30}, i.e. 39 zeroes and 30
      Range of A = (25 - 0) = 25
      Range of B = (30 - 0) = 30

    Both the above cases satisfy both the statements, but in the first case range of B is greater than 45 but not in the second case.

    The correct answer is E.

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    GMAT Expert, Admissions and Career Guidance
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    Ashujain Really wants to Beat The GMAT!
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    Post Thu Jun 07, 2012 11:36 pm
    Anurag@Gurome wrote:
    Ashujain wrote:
    Set A has 20 numbers and Set B has 40 numbers. Is the range of B greater than 45?

    1) The range of sets A and B combined exceeds 50.
    2) The range of B > range of A
    I'm going to solve this by plugging numbers.

    My intuition says, the statements do not provide any solid pointer to answer the question. Hence, I'm making a guess that both of them together are not sufficient. And accordingly I'll pick numbers and try to show that. If I fail at that, I'll try otherwise.

    Take the following to cases...
    Case 1:
      A = {0, 0, ..., 25}, i.e. nineteen zeroes and 25
      B ={0, 0, ..., 50}, i.e. 39 zeroes and 50
      Range of A = (25 - 0) = 25
      Range of B = (50 - 0) = 50

    Case 2:
      A = {0, 0, ..., 25}, i.e. nineteen zeroes and 25
      B ={0, 0, ..., 30}, i.e. 39 zeroes and 30
      Range of A = (25 - 0) = 25
      Range of B = (30 - 0) = 30

    Both the above cases satisfy both the statements, but in the first case range of B is greater than 45 but not in the second case.

    The correct answer is E.
    @Anurag

    I am not sure but i guess you have misunderstood statement 1.

    You have taken it as Range of set A + Range of set B > 50 but Statement 1 is 'the range of a set which is made by combining sets A and B exceeds 50'.

    Will it make any difference to the answer anyway?

    I guess we can then solve it by considering both the statements together. Below is my explanation:

    Case1:
    A = {0, 0, ..., 25}, i.e. nineteen zeroes and 25
    B ={0, 0, ..., 51}, i.e. 39 zeroes and 50
    Range of A = (25 - 0) = 25
    Range of B = (51 - 0) = 51
    Range of combined set = 51 - 0 = 51

    Case2:
    A = {51, 51, ..., 52}, i.e. nineteen 51s and 52
    B ={0, 0, ..., 51}, i.e. 39 zeroes and 50
    Range of A = (52 - 51) = 1
    Range of B = (51 - 0) = 51
    Range of combined set = 52 - 0 = 52

    Hence, we can say that Range of set B will always be greater than 45 when we combine statements 1 and 2.

    Kindly correct me if I am wrong.

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    Anurag@Gurome GMAT Instructor
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    Post Thu Jun 07, 2012 11:49 pm
    Ashujain wrote:
    @Anurag

    I am not sure but i guess you have misunderstood statement 1.

    You have taken it as Range of set A + Range of set B > 50 but Statement 1 is 'the range of a set which is made by combining sets A and B exceeds 50'.
    If that is the case, consider the following two cases...
    Case 1:
      A = {0, 0, ..., 25}, i.e. nineteen zeroes and 25
      B ={0, 0, ..., 60}, i.e. 39 zeroes and 60
      Range of A = (25 - 0) = 25
      Range of B = (60 - 0) = 60
      Range of the combined set = (60 - 0) = 60 > 50

    Case 2:
      A = {-25, 0, 0, ...}, i.e. nineteen zeroes and -25
      B ={0, 0, ..., 30}, i.e. 39 zeroes and 30
      Range of A = (0 - (-25)) = 25
      Range of B = (30 - 0) = 30
      Range of the combined set = (30 - (-25)) = 55 > 50

    Both the above cases satisfy both the statements, but in the first case range of B is greater than 45 but not in the second case.

    The correct answer is E.

    _________________
    Anurag Mairal, Ph.D., MBA
    GMAT Expert, Admissions and Career Guidance
    Gurome, Inc.
    1-800-566-4043 (USA)

    Join Our Facebook Groups
    GMAT with Gurome
    https://www.facebook.com/groups/272466352793633/
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    Thanked by: Ashujain
    Ashujain Really wants to Beat The GMAT!
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    Post Thu Jun 07, 2012 11:51 pm
    Anurag@Gurome wrote:
    Ashujain wrote:
    @Anurag

    I am not sure but i guess you have misunderstood statement 1.

    You have taken it as Range of set A + Range of set B > 50 but Statement 1 is 'the range of a set which is made by combining sets A and B exceeds 50'.
    If that is the case, consider the following two cases...
    Case 1:
      A = {0, 0, ..., 25}, i.e. nineteen zeroes and 25
      B ={0, 0, ..., 60}, i.e. 39 zeroes and 60
      Range of A = (25 - 0) = 25
      Range of B = (60 - 0) = 60
      Range of the combined set = (60 - 0) = 60 > 50

    Case 2:
      A = {-25, 0, 0, ...}, i.e. nineteen zeroes and -25
      B ={0, 0, ..., 30}, i.e. 39 zeroes and 30
      Range of A = (0 - (-25)) = 25
      Range of B = (30 - 0) = 30
      Range of the combined set = (30 - (-25)) = 55 > 50

    Both the above cases satisfy both the statements, but in the first case range of B is greater than 45 but not in the second case.

    The correct answer is E.
    Thanks Anurag! Got it now...

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