You’re in a room with two doors. There’s a guard at each door. One door is the exit, but behind the other door is something that will kill you. You’re told that one guard always tells the truth and the other guard always lies. You don’t know which guard is which. You are allowed to ask one question to either of the guards to determine which door is the exit.
Ask either guard what door the other guard would say is the exit, then choose the opposite door.
If you ask the guard who always tells the truth, he knows the other guard would lie, so he’ll point you to the door leading to death. If you ask the guard who always lies, he knows the other guard would truthfully show you the exit, so he’ll lie and point you to the door leading to death.
An alternate solution is to ask a guard what they would answer if you were to ask them which door was the exit, then choose that door. The truthful guard will point to the correct exit, but the lying guard will too. Here’s why. If you asked him what door was the exit, he would normally lie and point to the death door, but you asked him what he would say if you asked what door was the exit, and in order to lie to that question, he will point you to the exit.
The problem works out to a set of three equations:
b + c + d = 22
a + c + e = 22
a + b + c + d + e = 30
Solving for c = 14, leaving d = 8 – b and e = 8 – a. In other words, c must be 14, but the other two numbers just have to add up to 8. The requirement that they be unique rules out 4 + 4, so you’re left to choose from the following combations for b + d and a + e:
0 + 8
1 + 7
2 + 6
3 + 5
What is the highest product that can be generated by multiplying two numbers while only using each digit once (1 through 9)?
For example, 12345678 * 9 = 111,111,102
The letter ‘b’, the verb to be or a bee. The letter b and a bee are both small and to be means you exist. Bees make honey, which is sweet, and their wings are going at around 230 beats per second. Bees are valuable because they pollinate flowers. They live in hives and the queen bee runs the show. If it weren’t for bees, we would probably starve to death.