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Funtestiq!
Numbers
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? >>>
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? >>>
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? >>>
Horses of the House Eleven horses to be divided among
three brothers according to certain formula. How can it be done? >>>
Legs and Heads. Equal numbers of chickens and rabbits,
with total of 90 feet. How many chickens and how many rabbits? >>>
Make it as big as you can. What is the biggest number
you can write out with numbers 1, 2, and 3? >>>
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. >>>
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? >>>
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?
>>>
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? >>>
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? >>>
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? >>>
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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