March 14 is the annual celebration of pi, the mathematical figure that represents the ratio of a circle's circumference to its diameter. So many companies and brands are using the event to promote their own products. One of the companies utilizing the celebration is Pizza Hut, and they are willing to give you free pizza if you can win their maths contest.
Find out how you can win three years worth of pizza below.
March 14 is the annual celebration of pi, the mathematical figure that represents the ratio of a circle's circumference to its diameter. So many companies and brands are using the event to promote their own products. One of the companies utilizing the celebration is Pizza Hut, and they are willing to give you free pizza if you can win their maths contest.
Anyone who answers one of them correctly will have a chance to win approximately $1,600 worth of Pizza Hut gift cards, which is free pizza for 3 years.
"I'm thinking of a ten-digit integer whose digits are all distinct. It happens that the number formed by the first n of them is divisible by n for each n from 1 to 10. What is my number?"
"Our school's puzzle-club meets in one of the schoolrooms every Friday after school. Last Friday, one of the members said, 'I've hidden a list of numbers in this envelope that add up to the number of this room.' A girl said, 'That's obviously not enough information to determine the number of the room. If you told us the number of numbers in the envelope and their product, would that be enough to work them all out?' He (after scribbling for some time): 'No.' She (after scribbling for some more time): 'Well, at least I've worked out their product.' What is the number of the school room we meet in?"
After the boy talks about the envelope, another girl notes that there is not enough information to know the number of the rooms. She suggested that they should be told about the number of numbers inside the envelope. Moreover, she wanted to know the product of these numbers.
After doing some scribbling, the boy said that the girl would not be able to know all of the numbers and the room's number using the number of the numbers and the product of the hidden numbers. However, the girl said that she now knows the product. So the question is: What is the number of the school rooms the Puzzle Club stays in every Friday?
"My key-rings are metal circles of diameter about two inches. They are all linked together in a strange jumble, so that try as I might, I can't tell any pair from any other pair. However, I can tell some triple from other triples, even though I've never been able to distinguish left from right. What are the possible numbers of key-rings in this jumble?"
The triples found in the jumble of key-rings can be identified from each other, even if they cannot be identified as from the left or from the right. So here is the question: "What are the possible numbers of key-rings in this jumble?"
Likewise, you do not have to buy anything to join the contest or to claim the prize. Still, this contest is only for people who are at least 18 years old and are in any of the 48 Continental U.S. states.
