#25 More lying and buckets (You can do it!)

1.

During the lunch hour at school, a group of five boys from Miss Jones home room visited a nearby lunch wagon. one of the five boys took a candy bar without paying for it. When the boys were questioned by the school principal, they made the following statements in respective order:  1. Rex: "Neither Earl nor I did it."  2. Jack: "It was Rex or Abe."  3. Abe: "Both Rex and Jack are lying."  4. Dan: "Abe's statement is not true; one of them is lying and the other is speaking the truth."  5. Earl: "What Dan said is wrong."  When Miss Jones was consulted, she said, "Three of these boys are always truthful, but everything that two of them say will be a lie." Assuming that Miss Jones is correct, can you determine who took the candy bar?

2.
You have two buckets one holds 3 gallons and the other holds 5 gallons.  How could you get exactly 4 gallons?

3.
You have two buckets one holds 4 gallons and the other holds 7 gallons.  How could you get exactly 5 gallons?