On a dark, stormy Halloween night, four kids named Luke, John, Sarah and Bob walk into a haunted house during a blackout. Only one can escape. They take a staircase to the second floor, a trapdoor on the left, then go up the ladder to the right, followed by a 28-foot slide to the basement through the mouth of a Giant Panda. In one corner of the murky cellar is a chainsaw, a dagger, a rope with a noose and an electric chair. Written on the wall in blood are the words, “Only one will survive – choose your death!” Bob takes the rope, Sarah picks up the dagger, John chooses the chainsaw and Luke uses the chair.
Priscilla gave her brother Bruce as much money as Bruce started with. Bruce gave Priscilla as much money as Priscilla had left. Priscilla then gave Bruce as much as Bruce had left, which left Priscilla broke. Bruce had $80.00.
How much money did Priscilla and Bruce start with?
You are given eight coins and told that one of them is counterfeit. The counterfeit one is slightly heavier than the other seven. Otherwise, the coins look identical. Using a simple balance scale, how can you determine which coin is counterfeit using the scale only twice?
First weigh three coins against three others. If the weights are equal, weigh the remaining two against each other. The heavier one is the counterfeit. If one of the groups of three is heavier, weigh two of those coins against each other. If one is heavier, it’s the counterfeit. If they’re equal weight, the third coin is the counterfeit.
Aiden and Sofia were debating a major purchase of candy. They calculated that they could get three bags of jelly beans and two bags of chocolate for 24 cents, which was just under their limit of 25 cents. They found they could also get four bags of chocolate and two bags of jelly beans for the same 24 cents. How much did each bag of candy cost?
A man is found dead at the end of an alley. A detective who enters the scene sees the letter X and immediately knows who killed the man and why. What did the detective conclude?
The alley is a bowling alley. The man who was killed was a pin spotter (an old profession where they would reset the pins by hand). The X was the marking on the score sheet for a strike. The detective saw the letter X and knew that the person bowled last, got a strike, and was due to bowl again. But they bowled before the pin spotter could get out of the way.
Fred brings home 100 pounds of potatoes, which (being purely mathematical potatoes) consist of 99 percent water. He then leaves them outside overnight so that they consist of 98 percent water. What is their new weight?
100 lb of potatoes with 99% water weight means there’s 99 lb of water and 1 lb of solids, a 1:99 ratio.
If the water decreases to 98%, then the solids account for 2% of the weight. The 2:98 ratio reduces to 1:49. Since the solids still weigh 1 lb, the water must weigh 49 lb for a total of 50 lbs for the answer.
The word vex. “v” is Roman numeral 5, which is odd. “x” is Roman numeral 10, which is even. “e” is the base of the natural logarithm and is irrational (e = 2.718281828…). Its mantissa (the part to the right of the decimal point) is infinitely long.
Noreen doesn’t have a driver’s license and goes the wrong way on a one-way street, then turns left at a corner with a “No left turns” sign. A policeman sees her but does nothing. Why?
Fred was almost done packing for the day, with five packages left. Unfortunately, Fred dropped the labels and had no idea which label went to which package. What is the probability that Fred managed to correctly label exactly four of the five packages?
Zero. If Fred had correctly labeled four packages, the fifth label would belong to the fifth package and all packages would be correctly labeled. Therefore it is impossible to mislabel exactly four packages.