#25 More lying and buckets

1)  I think Abe stole the candy bar. Earl and Dan's statement oppose each other, if Earl is lying then Abe is lying and then so is Jack or Rex. Which would make 3 liars, but there can be only 2 liars, and if Earl is telling the truth then half of what Dan said has to be false, the first part he says "Abe's statement is not true;" then once again Jack, Rex, and Dan would have to be liars making 3 which means the first part is true and the second part "one of them is lying and the other is speaking the truth," is false. Making Abe's statement false "Both Rex and Jack are lying," meaning both Jack and Rex to be the truth tellers.
So Jack, Rex, and Earl are telling the truth.
Leaving Abe and Dan to be the liars, but because what Jack said "It was Rex or Abe," and Rex is the truth teller then it has to be Abe 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?

Fill the 3 gallon bucket, pour it into the 5 gallon bucket, and then fill the 3 gallon bucket and pour as much as you can into the 5 gallon bucket, leaving 1 gallon in the 3 gallon bucket. Dump out the 5 gallon bucket, and pour the 1 gallon into the 5 gallon bucket, then fill the 3 gallon bucket ad dump the 3 gallons of water into the 5 gallon bucket, leaving 4 gallons in the 5 gallon bucket.


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

To get to 5 gallons you have to fill the 4 gallon bucket, then pour it into the 7 gallon bucket.

Fill up the 4 gallon bucket again and pour as much as you can into the 7 gallon bucket, leaving 1 gallon in the 4 gallon bucket. Then dump out the 7 gallon bucket and pour the 1 gallon from the 4 gallon bucket into the 7 gallon bucket, fill the 4 gallon bucket up and dumb it into the 7 gallon bucket making 5 gallons in total in the 7 gallon bucket.