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Funtestiq!  Numbers


kangaroo.gif (155 bytes)   Right Price  The manager at the store told Greg that the Cannon camera, along with a carrying case, should sell for $ 310.00  The camera and the case, however, could be sold separately.  If so, the camera should go for $ 300.00 more than the case.  A customer came along and wanted to buy just the case.  How much should Greg charge?  >>>

kangaroo.gif (155 bytes)   Nancy's Assignment   The boss said to Nancy: "I've got here these 127 gifts.  But I don't know yet how many of them I'm supposed to give away at the meeting this afternoon.  So I'd like you to package the gifts up in such a way that as soon as I learn the number of gifts I should present--surely no more than 127, that much we know--you can readily hand me that many gifts either in one box or a combination of boxes.  That way we do not have to count our gifts on the spot.  Could you do that?"

Nancy thought about it, then replied: "Yes."

How many boxes should Nancy use, and in each of these boxes how many gifts should she place respectively?    >>>

kangaroo.gif (155 bytes)   Gals and Guys  One says one third, the other says one-fourth, and yet both were right.  Exactly how many gals and how many guys were at the party?  >>>

kangaroo.gif (155 bytes)   Horses of the House  Eleven horses to be divided among three brothers according to certain formula.  How can it be done?  >>>

kangaroo.gif (155 bytes)   Legs and Heads.  Equal numbers of chickens and rabbits, with total of 90 feet.  How many chickens and how many rabbits?  >>>

kangaroo.gif (155 bytes)   Make it as big as you can.  What is the biggest number you can write out with numbers 1, 2, and 3?  >>>

kangaroo.gif (155 bytes)   Large is small.  All that we have been taught about math notwithstanding, it can be shown that a large number is equal to a small number.  >>>

kangaroo.gif (155 bytes)   Your drink and your pi.  The value of pi, the ratio between the circumference and diameter of a circle, is indicated by the following saying--"May I have a large drink, alcoholic of course, after the heavy chapters involving quantum mechanics".  What's the connection?   >>>

kangaroo.gif (155 bytes)   How much money will you have?  Let's say your grandpa really likes you and decides to give you one penny one day, two pennies the next day, four pennies the third day,  day, eight pennies the day after that.  If the old man keeps this up for a month, how much money will you have gotten from him by then?   >>>

kangaroo.gif (155 bytes)   Another money problem.  An agent investigating counterfeit has ten stacks of silver coins in front of him, ten pieces in each stack.  The officer knows for sure that one of these ten stacks consists of nothing but counterfeit coins, and that each of these bad coins is one gram heavier than they should be.  He wants to find out which stack is bad money.  The question: what is the smallest possible number of weighings that the officer has to do in order to make find the counterfeit?    >>>

kangaroo.gif (155 bytes)   At the party.  John went to a party one night.  The next day he was asked if he met a lot people at the gathering.  "Figure it out for yourself," John said.  "Of the girls I spoke to, all but two were blondes, all but two were brunettes, and all but two were redheads."  How many girls did he talk to?     >>>

kangaroo.gif (155 bytes)  How much time left before the end of the world?  The great temple at Varanasi, India, shelters the Tower of Brahma, a device with which priests there mark the time remaining till the end of the whole world.  The tower consists of 3 diamond needles standing upright, around one of which 64 golden plates with holes in the center have been placed, one atop another.  The disks in the stack are placed according to their sizes, with the biggest at the bottom, and the smallest topmost.  Day and night priests at the temple transfer the golden plates thus stacked to the other two needles, always observing the rule that no larger plate shall be placed on a smaller plate.   It  is believed that when all of the 64 plates have been transferred onto another needle, in its original arrangement, namely the biggest at the bottom and the smallest topmost, the world comes to its end.  Suppose the priests can move one plate a second, how long will it be before they reach the fatal moment?    >>>

kangaroo.gif (155 bytes)  Get the numbers right and save your life.  Forty men found themselves in a desperate situation, and all but two of them decided that they should kill themselves.   Unable to dissuade the group, the two men who refused to give up pretended to go along with the group's plan.  They even suggested a way in which death can take place in an orderly manner.  Here is their idea: all forty men should sit in a circle, and, starting with someone who wanted to go first, every third person in the circle were follow; the counting would go around till last man, who should commit suicide.  The two men thought that if they placed themselves at certain points in the circle, all others in the group would have died before them.  For their scheme to work, where in the circle should these two men sit?    >>>


 

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