I believe the solution can be either FFFTF
To arrive at this conclusion I first determined if a. could be true using the following logic:
If a. is true then b. must be false using the following reasoning:
b. as true would make d. false since it
prohibits consecutive trues and e. false since it requires more false
than true. d. and e. would then become consecutive false not
allowed by a. being true.
Thus if a. is true b. must be false
If b. is false then at least two of the next three sentences must be false which is not possible for a. to remain true.
Thus, a. cannot possibly be true and is therefore false
I next set about to determine if b. could be true if a. was false using the following logic:
If b. is true then e. must be false
which would fill the maximum 2 false statements ( a. and e.) required
by b. and would require c. and d. to be true. This is not
possible considering that d. prohibits two consecutive true sentences.
Thus, both a. and b. are false
I then determined that c. must also be false using the following logic:
If c. is true then d. becomes a self contradictory statement as follows:
If d. is true then c. and d. form consecutive true statements making it false.
If d. is false then there is no place for consecutive true statements to exist.
Therefore a., b., and c. are false
d. must then be a true statement since makeing it false would contradict itself.
Since d. is true e. must then be false (which also creates the fourth false statement)
Solution
