The Missing Key

The case file

A glass paperweight vanished from the evidence locker. Four people with access were questioned, and each made exactly one statement. Who took the glass paperweight?

The rule: Exactly 2 of the four statements are true. The other 2 are false.

The clues

1. Grace Ivers said, "June Park took it."
2. Felix Grant said, "I took it."
3. June Park said, "Felix Grant took it."
4. Nora Hale said, "I took it."

Who did it?

1. Felix Grant
2. June Park
3. Nora Hale
4. Grace Ivers

The verdict

Felix Grant

Only Felix Grant fits -- then exactly 2 of the four statements are true (Felix Grant's statement; June Park's statement). Not June Park: if June Park had taken the glass paperweight, 1 of the four statements would be true -- but exactly 2 are. Not Nora Hale: if Nora Hale had taken the glass paperweight, 1 of the four statements would be true -- but exactly 2 are. Not Grace Ivers: if Grace Ivers had taken the glass paperweight, 0 of the four statements would be true -- but exactly 2 are.