GMAT Question of The Day: the median number of employees assigned per project

What is the median number of employees assigned per project for the projects at Company Z?

(1) 25 percent of the projects at Company Z have 4 or more employees assigned to each project.
(2) 35 percent of the projects at Company Z have 2 or fewer employees assigned to each project.

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.

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31 Comments Post a Comment
  1. valmik desai says:

    C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.

  2. Deepa says:

    could someone explain the answer?

  3. himakar says:

    e it is given that 25% is 4or more and 35% is 2 or less so no perfect
    number then we can’t ans

  4. Sasha says:

    Can someone who thinks it’s C explain how you came to this?

    I think it’s E: 25% has 4 or more, 35% has 2 or less, we have no idea how many employees they assign for the rest 50 % of projects..

  5. swati says:

    Can someone explain the approach?? Take Gmat team plz reply

  6. darchana says:

    I think its E

  7. Sandeep says:

    IT is E. No absolute numbers in the options. But the question asks for an absolute answer.

  8. Saurabh9 says:

    The answer is E.

  9. Ankur Chawla says:

    Ans is E

    Statement 1 says 25% of projects is done by either 4 or more employees per project

    Does’nt not tell us ;how many employees are ???

    Insufficient, we can Remove A and D as option

    2) Statement 1 says 35% of projects is done by either 2 or less employees per project

    Insufficient same reason : We can Remove B as well

    Now it we take both, Still we don’t get any solution

    25% of projects is done by >=4 employees per project + 35% of projects is done by

  10. Neel Majithia says:

    Even i think the answer is E.

    There is no indication as to what the median can be.. 4 or more can be any number and 2 or less can be 0,1 or 2.

    With multiple answer possibilities coming out, which means that there is no unique solution, the answer has to be E.

  11. mahanalok says:

    Yes…..Definately The E is a correct Answer….

    Beacuse by taking both statement in to consideration,we are not able to solve for the parameter whic is asked in question….
    Hence E is quite right in this question…

    Thanks

  12. Gethcy says:

    its (E) – no data is exact .. lot of ambiguity..no of assumptions can be made. it involves lot of probability.. 4 or more.. but wat is t total outcome? its not mentioned..

  13. nishant says:

    Take the gmat, OA with explanation pls

  14. alec says:

    The answer must absolutely be E.

    25% with 4 or more can mean any infinite possibility of numbers.
    35% with 2 or fewer can mean only three numbers.
    40% of the projects are unkown.

    There is no way that this can be solved with the given data

  15. Hendrix says:

    Shouldn’t the answer be C? If 25% of the projects have 4 or more employees and 35% have 2 or less employees then that must leave 40% of projects having 3 employees. So the median would be 3, meaning that both are sufficient when taken together.

  16. GHCV says:

    I guess the reasoning of Hendrix is an interesting approach. It should be C

  17. Gmack says:

    It’s C. Since were just using the percentage…think of the amount of assignments as 100 and picture all the assignments in one row since to find the median, we have to put the numbers in order. The median number will be the 50th assignment. 25 (the 25% they give us) at the very beginning of the row will have 4 or more people working on an assignment, but this is not enough to find the answer. 35 at the very end of the row will have 2 people or less working on an assignment, but this is not enough to find an answer. So we have the 4 or more in the beginning and the 2 or less at the end meaning that assignment 26 to 65 have to all have 3 people working on it. Remember assignment 50 is the Median, meaning that 3 is your answer.

  18. saurabh008 says:

    e

  19. simplyjat says:

    When I saw this question tagged “very hard” I laughed… But seeing so many people answering E, I changed my perspective….

    This question test the knowledge of number line and definition of median…
    For any range if 25% data is 3 where can the rest of data lie? there is only one point left of the natural number line, that is 3… so 40% of the data lies on 3…
    And if you know the definition of median you will arrange the data in order, and know mid point of data has to be 3… and thus the median

  20. sarithajennila says:

    E
    let y be the total projects
    a.25% * y >= 4 i.e.,y

  21. Jack says:

    I think C is the answer.

  22. Gordon says:

    Answer is C.
    But good luck thinking about this answer in 2 minutes under pressure.

  23. Vikas says:

    a) 25% >= 4
    b) 35% if the no of heads are >=4 or =4 nor <=2

    ans C

  24. Naiian says:

    C,

    The median seperates the higher half of the sample with the lower half of the sample. For example when they give you the data of the median GMAT score, it does not matter when someone takes the exam, their data is re-sequenced in ascending order and the to calculate median

    So for example if say we there 99 projects, to calculate the median, the set woul be arranged in ascending order, we know the first 35 is 2 or less, and the last 25 to be 4 or more, that means the median will be the 50th project in ascending order, which must be 3

  25. pritam saha says:

    IT CAN NOT BE C…BECAUSE YOU DO NOT KNOW THE EXACT NUMBERS….OUT OF THE 25% …ie, 25 projects 10 can have 4 and 5 can have 6 and the other 5 can have 8 as far as we know….and the 35%..out of that 20 can have 2 and the remaining can have 1 as far as we know.

    so if you distribute the assigned employees on a number line…we get

    1,2,3,4,6,8

    and like this there can be innumerable more points on the number line depending on how many employees exactly are assigned.

    so the median can not be evaluated …since we do not know exact number of employees assigned…we are just provided with a range

  26. Gautam says:

    Ans (C)

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