#51 - Sum Problem
If EELS + MARK + BEST + WARY = EASY
What does HELP + BARK + WARD + LEAD equal?
Hard, using the first letter of the first word, the second letter of the second word, etc
#51 - Sum Problem
#52 - Truth-Lie Problem
Four children had a race. At the end of the race
four statements were made:
Robert: I didn't come in first or last
David: I didn't come in last
Melissa: I was first
Bailey: I was last
You know that one, and only one, of the children
didn't tell the truth. Who won the race?
#53 - Costume Problem
There were three women in all swimming costumes!
One was happy and the other two were sad!
The happy one was crying and the sad ones were smiling.
Why was this?
They were in a modelling competetion! The happy one, is crying with happiness and the two sad girls are smiling because the losers and runners up always just stand there smiling even though they want to kill the winner.
#54 - Anagram Problem
A woman lives in a skyscraper thirty-six floors high and served by several elevators which stop at each floor going up and down. Each morning she leaves her apartment and goes to one of the elevators. Whichever one she takes is three times more likely to be going up than down. Why ??
She lives on the 27th floor. The elevator came down from the 36th to the 28th floor - 9 floors; or it came up from the 1st to the 27th floor - 27 floors. Therefore there is a 3to1 chance of it going up rather than down.
#55 - Elevator Problem
A woman lives in a skyscraper thirty-six floors high and served by several elevators which stop at each floor going up and down. Each morning she leaves her apartment and goes to one of the elevators. Whichever one she takes is three times more likely to be going up than down. Why ?
She lives on the 27th floor. The elevator came down from the 36th to the 28th floor - 9 floors; or it came up from the 1st to the 27th floor - 27 floors. Therefore there is a 3to1 chance of it going up rather than down.
#56 - Number Problem
A teacher thinks of two consecutive numbers between 1 and 10. The first student knows one number and the second student knows the second number. The following exchange takes place:
First: I do not know your number.
Second: Neither do I know your number.
First: Now I know.
What are the 4 solutions of this easy number puzzle?
None of the students can have numbers 1 or 10, since they would guess the other one’s number with no problems. I will describe solutions at one end of the interval of numbers 1-10 (the same can be done on the other end).
Information that the second student does not know must be important for the first student. So the first one must expect that the second one has 1 or 3 (if the first one has 2). And as the second student does not know, then he has certainly not 1. So the first pair is 2 and 3.
If the first one had 3, then he would expect the other one to have either 2 or 4. But if the second one had 2 (and the second one would have known that the first one does not have 1), then he would know the number of the first student. However, neither the second student knows the answer – so he has 4. The second pair of numbers is 3 and 4.
Solutions at the other end of interval are 9 and 8 or 8 and 7.
#57 - Ants Problem
Three ants are going up a hill, one behind the other. The last ant then says to the other ants, 'There is an ant behind me!'' How come?
1.They're marching up the hill backwards.
2. the ant was lying
#58 - Egg Problem
how can you tell a raw egg from a hard-boiled egg ?
If you spin a hard boiled egg and briefly stop it, it will stay stopped. Do the same to a raw egg and the yolk will keep it going.
#59 - Monkey Truth Problem
There are people and strange monkeys on this island, and you can not tell who is who (Edit: untill you understand what they said - see below). They speak either only the truth or only lies.
Who are the following two guys?
A: B is a lying monkey. I am human.
B: A is telling the truth.
A is a lying Monkey.
B is a lying Human.
#60 - Pool Problem
A swimming pool has four faucets. The first can fill the entire pool with water in two days, the second in three days, the third in four days, and the last one can fill the pool in 6 hours.
How long will it take to fill the pool using all 4 faucets together?
Because there are 24 hours in one day, in one hour fills the first tap 1/48, the second tap 1/72, the third tap 1/96 and the fourth tap fills 1/6 of the reservoir. That is all together (6+4+3+48) / 288 = 61/288. The reservoir will be full in 288/61 hours, which is 4 hours 43 minutes and about 17 seconds.