Logic Riddles

Question: Mrs. Stotch is a fifth grade teacher. One of her students took her apple. Mrs. Stotch has narrowed the suspects down to Billy, Paige, and Tyler. Each of these students give these statements:

Billy: I didn't do it.
Paige: I didn't do it.
Tyler: Paige did it!

Mrs. Stotch knows that only one of the kids is telling the truth. Which one is telling the truth and who took the apple?

Question: What is 5,000 years old and still turning?

Question: Name two different words using following words only... 1. Without me 60% living beinga cant survive.. 2. Without me none ( living+non-living cant survive... 3. Both have five letters each but both r anagrams of each other..

Question: A man builds a rectangular house. After he builds the house he wants to place a clock on a south wall. Because there are so many south walls he places the clock on a random wall. He sits in front of the sits in front of the clock for ten minutes until he hears a knock on his font door. The man opens the door to see a bear on his front porch. The bear kills him. What color was the bear and why?

Question: A shield can reflect projectiles which travel at 4/5 of their original speed after being reflected. A missile is shot towards the shield at 700 km/h. At what speed did it go after its reflection?