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info@inquizitive.com wrote:
: Math quiz from Inquizitive.com, world's finest quiz

Now we'll see how much good my math classes have done me.

: Questions:
: 
: 1. Use the following clues to get the number:
: Clue 1: It is a number less than 100.
: Clue 2: Its square root is a perfect cube.
: Clue 3: It's cube root is a perfect square.

0.
 
: 2. Get the next number in the series: 1, 1, 2, 3, 5, 8, 13, ____.

This is obviously the famous sequence that starts 1, 1, 2, 3, 5, 8, 13,
and continues with each term being the sum of the seven previous. So the
answer is 33.
 
: 3. I buy three apples and two oranges for 4 dollars, and five apples and ten
: oranges for 10 dollars. How much does an apple and an orange cost?

An apple and an orange cost $1.50.
 
: 4. What is the square root of ((three to the power three) less 2)?

-5.
 
: 5. A frog is 100 feet away from a well and it wishes to reach the well. In
: the first minute, it is able to cover 50 ft. In the next minute, it covers
: half that (25 ft). In the third minute, it covers half the distance covered
: by it in the second minute - i.e., 12.5 ft.. Thus, every minute it covers
: half the distance it covered in the previous minute. How long would it take
: the frog to reach the well?

The frog stops after 7 minutes. By then it is within one foot of the
well and can reach it with its tongue.

: Answers
: 
: 1. 64 2. 21. Each number is the sum of the two previous numbers. This number
: sequence is the famous 'Fibonacci Sequence.' 3. Apple = 1 dollar; Orange =
: 0.5 dollar. You can solve this using simultaneous equations. 4. 5 5. Infinite
: time! Yes, if it proceeds in this manner, it will never reach the well. You
: can work it out yourself. You will find that the frog will very near the well
: after a few minutes, but to  actually reach it, it will take infitine time.
: The sequence you put down while working out this problem is a so-called
: infinite series.

Damn, it looks like I got them all wrong.

-- 
Darren Lo, lo@math.wisc.edu                    +-----------------------------+
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