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Math quiz from Inquizitive.com, world's finest quiz

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.

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

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?

4. What is the square root of ((three to the power three) less 2)?

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?

(Answers are given at the end).

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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.

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