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If 38 percent of the departments in a certain research organization have 14 or fewer members each, what is the median number of members per department in this organization?
(1) 58 percent of the departments have 15 or fewer members each.
(2) 42 percent of the departments have 16 or more members each.
  • 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
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
If 38 percent of the departments in a certain research organization ha...
Statement (1):

- 38 percent of departments have 14 or fewer members
- 58 percent of departments have 15 or fewer members

Statement (2):

- 42 percent of departments have 16 or more members

Analysis:

- From statement (1), we know that 38 percent of departments have 14 or fewer members each, and 58 percent have 15 or fewer members each.
- Since the median number of members is the middle value when the total number of departments is arranged in ascending order, we can determine the median number of members per department from statement (1) alone.
- From statement (2), we know that 42 percent of departments have 16 or more members each. This information is not necessary to determine the median number of members per department.
- Therefore, each statement alone is sufficient to determine the median number of members per department. Hence, the correct answer is option 'D'.
Free Test
Community Answer
If 38 percent of the departments in a certain research organization ha...
Let the # of departments be 100.100.
To find the median we need the average of the total members in the 5050 and 5151 departments, when the departments are arranged is ascending order according to the # of members present.
We know 3838 departments have 1414 or fewer members.
(1) 58 percent of the departments have 15 or fewer members each.
58 departments have 1515 or fewer members.
38 departments have 1414 or fewer members.
Hence departments 3939 to 5858 must have 1515 members.
Thus 5050 and 5151 departments have 1515 members each. Thus the median is the avg. of these two =15.=15.
SUFF.
(2) 42 percent of the departments have 16 or more members each.
Thus 5858 percent of the departments have 1515 or fewer members.
This basically tells the same thing as statement (1)
We can follow the same reasoning as shown in statement (1)
SUFF.
Ans: D
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If 38 percent of the departments in a certain research organization have 14 or fewer members each, what is the median number of members per department in this organization?(1) 58 percent of the departments have 15 or fewer members each.(2) 42 percent of the departments have 16 or more members each.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficientb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficientc)Both statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficiente)Statements (1) and (2) TOGETHER are NOT sufficientCorrect answer is option 'D'. Can you explain this answer?
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If 38 percent of the departments in a certain research organization have 14 or fewer members each, what is the median number of members per department in this organization?(1) 58 percent of the departments have 15 or fewer members each.(2) 42 percent of the departments have 16 or more members each.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficientb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficientc)Both statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficiente)Statements (1) and (2) TOGETHER are NOT sufficientCorrect answer is option 'D'. Can you explain this answer? for GMAT 2024 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about If 38 percent of the departments in a certain research organization have 14 or fewer members each, what is the median number of members per department in this organization?(1) 58 percent of the departments have 15 or fewer members each.(2) 42 percent of the departments have 16 or more members each.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficientb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficientc)Both statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficiente)Statements (1) and (2) TOGETHER are NOT sufficientCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for GMAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If 38 percent of the departments in a certain research organization have 14 or fewer members each, what is the median number of members per department in this organization?(1) 58 percent of the departments have 15 or fewer members each.(2) 42 percent of the departments have 16 or more members each.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficientb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficientc)Both statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficiente)Statements (1) and (2) TOGETHER are NOT sufficientCorrect answer is option 'D'. Can you explain this answer?.
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