Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:
Each of 200 large companies was asked whether it employed a [#permalink]
29 Aug 2006, 04:16
0% (00:00) correct
0% (00:00) wrong based on 0 sessions
HideShow timer Statistics
This topic is locked. If you want to discuss this question please re-post it in the respective forum.
Each of 200 large companies was asked whether it employed a safety officer, an ombudsman, or a staff psychologist. 40 companies did not employ any of the three, while there were twice as many companies with a safety officer as there were with an ombudsman. The survey also found that there were three times as many companies with a staff psychologist as there were without one. Did more than 5 companies have an ombudsman and a safety officer but not a staff psychologist?
(1) 6 companies had an ombudsman, but neither a safety officer nor a staff psychologist.
(2) Each company that had a safety officer had either an ombudsman or a staff psychologist, and 6 companies had all three.
Given that P = 3P' (since number that have psychologists are three times those that don't have psychologists)
Also P + P' = 200. (every set + its complement is the total sum)
Therefore P' = 50.
and P = 150.
Now the total within the sets is actually only 160, since 40 companies have none of the three.
Therefore thinking of a venn diagram and excluding P, (S only) + (O only ) + (O intersection S only) = 10.
A. says that of these (O only) = 6. Therefore O intersection S only (which is the question) must be 4 or less.
thus, A is sufficient... can't wrap my head around B yet, so answer should be A or D.
My problem is for this solution I am not able to use one of the specified critieria (S = 2 * O) - perhaps it comes into use in the second part.