Bunuel wrote:
A department manager distributed a number of books, calendars, and diaries among the staff in the department, with each staff member receiving x books, y calendars, and z diaries. How many staff members were in the department?
(1) The numbers of books, calendars, and diaries that each staff member received were in the ratio 2:3:4, respectively.
(2) The manager distributed a total of 18 books, 27 calendars, and 36 diaries.
We do not get much from the question stem, except the fact that x, y and z have to be positive integers as they represent books, calendars, and diaries respectively.
Let us now consider the statements:
Statement 1:
This statement gives us the ratio of books, calendars, and diaries that each staff member received. This clearly is insufficient. We cannot figure out the number of staff members from this statement. It could be 10 or 1000 or even more.
So, options A and D are out.
Statement 2:
If you look at this statement, it basically provides you the same information as Statement 1. 18 books, 27 calendars, and 36 diaries distributed to all staff member means that each staff member must have received books, calendars, and diaries in the ratio 2:3:4, respectively.
However, this also gives us real numbers.
But this statement is still insufficient as the staff members could be 3 or 9.
Hence, option C is out
As mentioned above, statement 2 already contains the part of the information provided in Statement 1, there is no point looking at these statements together. Hence, even option D is out.
Option
E is the correct answer.