Car In a Box Logic Puzzle
There is a car in one of the boxes. See if you can figure out in which one it is.
Solution 1 By Rosemary/Brian
Since only one statement is true:
- If Statement 1 is true, then Statements 2 and 3 are false, which means
The car is in box 1, the car is in box 2, the car is in box 1
Since the car can not be in boxes 1 and 2, statement 1 is not the true statement.
- If Statement 2 is true, then Statements 1 and 3 are false, which means
The car is not in box 1, the car is not in box 2, the car is in box 1
Since the car can't be both in and not in box 1, statement 2 is not the true statement.
- If Statement 3 is true, then Statements 1 and 2 are false, which means
The car is not in box 1, the car is in box 2, the car is not in box 1
Statements 1 and 3 agree the car is not in box 1. Statement 2 says the car is in box 2.
Statement 3, therefore, is the true statement and the car is in box 2.
Solution 2 By Dorothy -- or Using One's Brain Making My Long-winded Solution Above Seem Silly
Her approach was to put the car in each of the boxes and determine if the three statements were true or false.
As Cpt. Binghamton used to say: "I could just scream."
If the car is in box | | statment 1 must be | statment 2 must be | statment 3 must be |
1 | | True | True | False |
2 | | False | False | True |
3 | | False | True | True |
The only line with only one True statement is where the car is assigned to box 2.