Cancer will be cured

This one sticks out to me because the question is too vague. If it said, "All forms of cancer will be cured," which is logically equivalent to the one given, then the only answer for anybody who knew anything about the subject is "no."

So, it seems that either people misunderstood the question, or don't know enough about cancer to realize that it's really a collection of terrible diseases that, at our current level of understanding, seem to need different treatments.