Lonnie always tells lies during months that begin with vowels
but always tells the truth during the other months.
During one particular month, Lonnie makes these two statements:
      1. I lied last month.
      2. I will lie again six months from now.

During what month did Lonnie make these statements?

Solution to the Problem:

Lonnie made these statements in August.

Lonnie tells lies in April, August, and October.

The current month could be a truth-telling month that immediately followed a lie-telling month.   The only possibilities are May, September, and October, but none has a lie-telling month six months later.

So, the current month must be a lie-telling month that immediately follows a truth-telling month.   All of Lonnie's lie-telling months directly follow a truth-telling month, but only August also has a truth-telling month six months later.

Correctly solved by:

1. Victoria Johnson Mountain View High School,
Mountain View, Wyoming
2. James Alarie Flint, Michigan
3. murrayb@kpmath.com Mountain View High School,
Mountain View, Wyoming
4. Levi Harmon Mountain View High School,
Mountain View, Wyoming
5. Jacob Harmon Mountain View High School,
Mountain View, Wyoming
6. Austin Hale Mountain View High School,
Mountain View, Wyoming
7. Brandon Preston Mountain View High School,
Mountain View, Wyoming
8. Chad Fore Scott County, Virginia
9. Kurtis Romero Mountain View High School,
Mountain View, Wyoming
10. Randy Nieman Mountain View High School,
Mountain View, Wyoming
11. Alexis Condos Mountain View High School,
Mountain View, Wyoming
12. hadlockm@kpmath.com Mountain View High School,
Mountain View, Wyoming
13. Erin Watson Mountain View High School,
Mountain View, Wyoming
14. Jordan Madsen Mountain View High School,
Mountain View, Wyoming
15. Crystal Schleichardt Mountain View High School,
Mountain View, Wyoming
16. Marissa Vitt Mountain View High School,
Mountain View, Wyoming
17. Earl Hickman Mountain View High School,
Mountain View, Wyoming
18. David & Judy Dixon Bennettsville, South Carolina