Two trains travel toward each other on the same track, beginning 100 miles apart. One train travels at 40 mph (miles per hour); the other travels at 60 mph. A bird starts flight at the same location as the faster train, flying at a speed of 90 mph. When it reaches the slower train, it turns around, flying the other direction at the same speed. When it reaches the faster train again, it turns around, and so on. When the trains meet, how far will the bird have flown?
Johnny is walking home. He has $300 to bring home to his mom. While he is walking, a man stops him and gives him a chance to double his money. The man says, “I’ll give you $600 if you can roll 1 die and get a 4 or above, you can roll 2 dice and get a 5 or 6 on at least one of them, or you can roll 3 dice and get a 6 on at least one die. If you don’t I get your $300.” What does Johnny do to have the best chance of getting home with the money?
There are 25 horses and you need to figure out the 3 fastest horses by placing them into races. You can race 5 horses at a time. Each horse always finishes the race in the same amount of time and there are no ties. The only information you get from each race is the order that the 5 horses finished in. You will not get any information regarding the time taken for the horses to complete the race. What is the smallest number of races you need to find the 3 fastest horses in order?
A young man walks through the forest. He comes to a bridge. In front of the bridge is a large man carrying an axe. The man says, “If you want to cross this bridge, you must tell me a statement. If I think the statement is true, you will be strangled to death. If I say the statement is false, your head will be chopped off.” A few minutes later, the young man walked over the bridge, while the larger man stood pondering. What was the statement the young man had given?
A young man walks through the forest. He comes to a bridge. In front of the bridge is a large man carrying an axe. The man says, “If you want to cross this bridge, you must tell me a statement. If I think the statement is true, you will be strangled to death. If I say the statement is false, your head will be chopped off.” A few minutes later, the young man walked over the bridge, while the larger man stood pondering. What was the statement the young man had given?
A man was working on a night shift when he suddenly received a telephone call giving him some information causing him to dash home at breakneck speed. On bursting into his bedroom quite breathless he found his informant was quite correct and his wife was in bed with someone he had never even clapped eyes on before. However, far from being angry he greeted them both with a friendly smile and a few hours later was bringing them both breakfast in bed. What is the reason for this?
You have two coconuts and you want to find out how high they can be dropped from a 100 story building before they break. Now, the elevator in this building costs a quarter to operate-meaning you want to minimize the number of trips you must take. So how many trips would it take at most to figure out how far the coconuts can fall? Bear in mind the coconuts are identical; they’ll break at the same point. Also, if they don’t break, they’re considered as good as new.
In a cave there is a treasure within a big metal box with a lock on it. There is also a monster in the cave that has two keys with him; one gold and the other silver. The monster will give you only one chance to open the lock using one of the keys. If the box doesn’t open, the monster will kill you. Since the monster is a bit helpful it would give you a clue in finding out the correct key. Can you choose the correct key by deciphering the below clue? A GKOY OEPD LYEO DCNO EAAR NNN
At the recent downhill mountain bike race, four entrants entered the challenging slalom event. Alan came first. The entrant wearing number 2 wore red, whereas John didn’t wear yellow. The loser wore blue and Steve wore number 1. Kev beat Steve and the person who came second wore number 3. The entrant in yellow beat the entrant in green. Only one of the entrants wore the same number as their final position. Can you determine who finished where, the number and colour they wore?
Two schoolgirls were traveling from the city to a dacha (summer cottage) on an electric train. “I notice,” one of the girls said, “that the dacha trains coming in the opposite direction pass us every 5 minutes. What do you think-how many dacha trains arrive in the city in an hour, given equal speeds in both directions?” “Twelve, of course,” the other girl answered, “because 60 divided by 5 equals 12.” The first girl did not agree. What do you think?
At the scene of a heinous crime, five suspects, one of whom is the guilty party, are being interrogated by a detective. Each of the suspects gives one statement and it later transpires that just three of these statements are correct. These are the statements: Uncle Jack: Uncle Jim committed the murder Aunt Mary: I did not do it Cousin Stewart: It was not Cousin Margaret Uncle Jim: Uncle Jack is lying when he says I did it Cousin Margaret: Aunt Mary is telling the truth Who committed the murder?
Arthur lives with his parents in Chicago. Last week, while his parents were out, Arthur’s next-door neighbor Sophie came round to spend the evening. At one point, she popped out to buy some cigarettes. Just then, two men burst into the apartment and, ignoring Arthur, took the TV set, the stereo and a computer. Arthur had never seen the men before, and they had no legal right to remove the equipment, yet he did nothing to stop them. In fact, he didn’t even act surprised by their behavior. Why not?
One snowy night, Sherlock Holmes was in his house sitting by a fire. All of a sudden a snowball came crashing through his window, breaking it. Holmes got up and looked out the window just in time to see three neighborhood kids who were brothers run around a corner. Their names were John Crimson, Mark Crimson and Paul Crimson. The next day Holmes got a note on his door that read “? Crimson. He broke your window.” Which of the three Crimson brothers should Sherlock Holmes question about the incident?
Three men go to stay at a hotel and they are charged $30.00 for the room. They split the cost with ten dollars each. Later the manager finds out that the rate is $25 and gives the bellboy $5 to return to the guests. On the way to the room the bellboy reasons that $5 would be difficult to split among three people so he pockets $2 and gives $1 to each person. Now each person paid $10 and got back $1. So they paid $9 each, totaling $27. The bellboy has another $2, adding up to $29. Where is the missing dollar?
I woke up one night and heard my clock strike “one.” I was too tired to turn on the light to see what time it was. As I lay there pondering, it occurred to me to speculate how long I would have to lie awake in order to be sure what was the exact time. My clock strikes the hours and strikes “one” each half hour. I fell asleep before I solved the problem, but can you work out what is the longest time I would have to lie awake after hearing the strike “one,” to be sure of the time?
