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Different careers
Three working women have different careers. If only one of statements 1, 2 and 3 are true, can you tell whether or not Mary is a nurse?

1. This statement is only true if statement 5 is false.
2. This statement is true if statements 4 or 5, or both 4 and 5 are true.
3. This statement is false only if both statements 6 and 1 are true.
4. Mary is a nurse
5. Karen is an artist.
6. Sarah is a photographer.


Solution:
Mary is not a nurse. The way to solve this riddle, is to consider statements 4, 5, and 6 and create a chart of all possible true and false answers. Next, fill in the chart according to statements 1 through 3. You will discover that there is only one line where only one of statements one, two and three are true. Thus, it is determined that:

Statement 4 and 5 are false and statement 6 is true.
4 5 6 1 2 3
T T T F T T
T T F F T T
T F T T T F
T F F T T T
F T T F T T
F T F F T T
F F T T F F ---> line where only one of 1,2&3 is true.
F F F T F T




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