Sponsored Ad:
Results 1 to 2 of 2

Thread: Set abc and positive integers

  1. #1
    Trying to make mom and pop proud
    Join Date
    Aug 2012
    Location
    Dubai, United Arab Emirates, United Arab Emirates
    Posts
    7
    Rep Power
    8


    Good post? Yes | No

    Set abc and positive integers

    Sponsored Ad:
    Question
    Set A, Set B, and Set C each contain only positive integers. If Set A is composed entirely of all the members of Set B plus all the members of Set C, is the median of Set B greater than the median of Set A?

(1) The mean of Set A is greater than the median of Set B.

(2) The median of Set A is greater than the median of Set C.

(A) Statement (1) alone is sufficient, but statement (2) alone is not sufficient.
(B) Statement (2) alone is sufficient, but statement (1) alone is not sufficient. 
(C) BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
(D) Each statement ALONE is sufficient.
(E) Statements (1) and (2) TOGETHER are NOT sufficient.

  2. #2
    GRE-GMAT Instructor Brent Hanneson's Avatar
    Join Date
    Apr 2011
    Location
    Vancouver, Canada
    Posts
    362
    Rep Power
    10


    Good post? Yes | No
    Tricky!

    Target question: Is the median of Set B greater than the median of Set A?

    Once we have a hunch that the statements might not be sufficient, we can start looking for conflicting cases.

    Let's jump right to . . .

    Statements 1 + 2 combined:
    Given the information, many different cases are possible. Here are two:

    case a:
    Set A: 1, 2, 5, 100 (mean = 27, median = 3.5)
    Set B: (median = 5)
    Set C: 1, 2, 100 (median = 2)
    In this case, the median of Set B IS greater than the median of Set A?

    case b:
    Set A: 1, 3, 7, 7, 100 (mean = 24, median = 7)
    Set B: 7, 7 (median = 7)
    Set C: 1, 3, 100 (median = 3)
    In this case, the median of Set B IS NOT greater than the median of Set A?

    Since we can't answer the target question with certainty, the combined statements are NOT SUFFICIENT, so the answer is E

    Cheers,
    Brent

Thread Information

Users Browsing this Thread

There are currently 1 users browsing this thread. (0 members and 1 guests)

Similar Threads

  1. Set question - product of three consecutive positive integers
    By Apex231 in forum GMAT Data Sufficiency
    Replies: 1
    Last Post: 06-14-2010, 12:02 PM
  2. If x, y, and z are positive integers
    By serGINho in forum GMAT Problem Solving
    Replies: 2
    Last Post: 01-10-2009, 03:45 PM
  3. Positive integers
    By Jen1984 in forum GMAT Data Sufficiency
    Replies: 3
    Last Post: 11-26-2008, 04:18 AM
  4. Set 7 Qn 5 - If k, m, and t are positive integers
    By agarbattis in forum GMAT Data Sufficiency
    Replies: 3
    Last Post: 12-24-2007, 02:39 AM
  5. positive integers
    By jmeasp in forum GMAT Data Sufficiency
    Replies: 9
    Last Post: 05-30-2006, 09:59 AM

Posting Permissions

  • You may not post new threads
  • You may not post replies
  • You may not post attachments
  • You may not edit your posts
  •