Smith, Jones, and Robinson make
four statements each as follows:
Smith:
1. Jones owes me $10.
2. Robinson owes me $5.
3. All Robinson’s statements are true.
4. All Jones’s statements are untrue.
Jones:
1. I owe no money to Smith.
2. Robinson owes me $7.
3. I am British.
4. All Smith’s statements are untrue.
Robinson:
1. I owe no money to anybody.
2. Jones is a Dutchman.
3. I always tell the truth.
4. Two of Jones’s statements are
true, and two are false.
One person made 4 true statements. Who?
Find, for all of them,
which statements are true and which
are false.
How many sets of 3 or more consecutive positive odd numbers greater than 1 exist such that all of the numbers are prime?