2 ropes (each of varying lengths)
Both ropes when lit on one end burn for an hour. Both rope at different points burn at variable rates.
You are given a box of matches and told to measure 15 minutes.
How do you measure it?
some1 got this right already: at the same time, light both ends of one rope and one end of the 2nd rope... when the two ends of the first rope touch, exactly 30 minutes has passed. at that moment, light the other end of the second rope. when the two ends of that rope have touched, exactly 15 more minutes will have passed.
You have 2 coins with a total value of 15 cents, and one of them is not a dime. What coins are they?
If you say it fast enough people really seem to stumble.
... well, the one coin that isn't a dime is a nickel and the
other coin IS a dime.
it is raining outside and 4 people in a car need to get to the front door of the building but there is only 1 umbrella. one person must bring the umbrella back to get another person after each trip from the car to the door. the pair walking from the car to the door can only walk as fast as the slower person can walk. one person takes 10 minutes to make the trip, one person takes 5 minutes to make the trip, one person takes 2 minutes to make the trip and the last person takes 1 minute to make the trip.
what is the least amount of time it will take to get everyone from the car to the building?
1 + 2 go together, 1 goes back
5 + 10 go together, 2 goes back
1 + 2 go together
total = 17 minutes
I am sitting in the middle of a lake on a boat that floats. I have a rock in the boat. I throw it overboard and the rock sinks to the bottom of the lake. The the lake sea level rise or lower or stay the same.
*HINT* "Eureka"
i believe the water level will actually rise... the boat has much more surface area/volume, so with the added mass of a rock in it, it displaces more water than the rock alone would.
have 100 captives.
I tell them that tomorrow I will line them up in single file and place a black or white cap on top of each persons head. Every person can see
If you guess the color of the hat on your head, I will set you free, otherwise I will kill you.
There is a plan to get 99% guaranteed free.
the very first guy to answer looks ahead of him and counts the number of, say, black hats. if that number is odd, he says "black". if that number is even, he says "white". he has a 50/50 chance of being right. however, everyone in front of him, if they aren't idiots, now has a 100% chance of being right.
when it's the next guy's turn to answer, he counts the number of black hats in front of
him. if the first guy said black (=odd) and there are still an odd number of black hats in front of him... then his hat must be white... if there are an even number of black hats in front of him... then his hat must be black... similarly, if the first guy said white (=even), and the # of black hats is still even, then his hat is white, otherwise it's black.
you repeat the same process down the line, just seeing if the oddness/evenness of the # of black hats in front of you stays the same as what the guy before you said.
Why are sewer grates round? Explain
the expected answer is so that they can't fall in... but there are many other good ones: so that you can roll them (they are heavy!), drills are round, pipes are round, etc...
You are at a well. You have an empty jug that can hold eight quarts of water. You also have two empty jars, one holding five quarts, the other holding three quarts.
You need to measure out exactly four quarts. How you do dat?
fill the three quart jug. pour all 3 quarts into the five quart jug. fill the three quart jug again. pour everything that will fit into the five quart jug. this will leave 1 quart in the 3 quart jug and 5 quarts in the 5 quart jug. empty the 5 quart jug. pour the 1 quart from the 3 quart jug into the 5 quart jug. fill the 3 quart jug again. pour those 3 quarts into the 5 quart jug. you now have 4 quarts.
EDIT: forgot to mention. i've had MANY of these as interview questions (for software jobs).