Reference no: EM133222808

For quite some time, Batman had been unable to catch a Mysterious Masked Mischief Maker.  The Mischief Maker had committed numerous minor crimes, but had always managed to escape before Batman arrived at the scene.  One day, however, Batman did get to the scene of the crime while the Masked Mischief Maker was still making his getaway.  Batman managed to pull off the mask and reveal one of his worst enemies.  Based on the statements below, find out who the Mysterious Masked Mischief Maker was, as well as the time of day.

1. If the Mischief Maker turned out to be the Riddler, then it was midnight.
2. If the Mischief Maker was actually Catwoman, then it was noon.
3. If it was midnight, then the Mischief Maker was the Penguin.
4. If it was evening, then the Mischief Maker was Catwoman.
5. If it was noon, then the Mischief Maker was the Riddler.

I would expect you to include a key for your letters, then each statement symbolized into truth-functional notation. Finally, I expect a grid, with the appropriate number of solutions ruled out. You may also solve the puzzle using a different technique, but you would need to prove that your solution is correct and that it is the only correct answer to a deductive standard.