Wednesday, May 6, 2009
Find a positive integer whose first digit is 1 (1abcde...) and when the 1 is moved to the opposite side (abcde...1) the number has tripled.
Cubes - Math Puzzle
Consider any 3 consecutive integers. Prove that the sum of the largest can not equal the sum of the cubes of the other 2.
Polynomial - Math Puzzzle
Suppose that f(x) is a polynomial with non-negative integer coefficients.
How would you be able to determine the polynomial in under 10 questions in which the form of the question you can ask is f(k) = ? Where K = any integer value you request.
2=1 Math Puzzle
Proof that 2=1:
a = b
a^2 = ab
a^2 - b^2 = ab-b^2
(a-b)(a+b) = b(a-b)
a+b = b
b+b = b
2b = b
2 = 1
Why is this argument false?
Solution (Highlight): In step 5 you can not divide by zero.
Where's the father? - Math Puzzle
The mother is 21 years older than the child. In 6 years from now, the mother will be 5 times as old as the child. Question: Where's the father?
Solution (Highlight):
m=d+21
m+6=5(d+6) > m=5d+24
Substitute and find that d=-3/4 or -9 Months.
The father is on top of the mother.
Unusual Paragraph
How quickly can you find out what is so unusual about this paragraph? It looks so ordinary that you would think that nothing is wrong with it at all, and, in fact, nothing is. But it is unusual. Why? If you look at it, study it and think about it, you may find out, but I am not going to assist you in any way. You must do it without coaching. No doubt, if you work at it for long, it will dawn on you. Who knows? Go to work and try your skill. Par is about half an hour. So jump to it and try your skill at figuring it out. Good luck --don't blow your cool.
Solution (Highlight): I think you should wait a day or two for this. O and this solution also has that unusual quality too
Half Full or Half Empty? - Logic Puzzle
You are in an empty room and you have a transparent glass of water. The glass is a right cylinder, and it looks like it's half full, but you're not sure. How can you accurately figure out whether the glass is half full, more than half full, or less than half full? You have no rulers or writing utensils.
Solution (Highlight): Tilt the glass to the side so that the water reaches the open end of the cup, but none spills out. If the water on the inside of the cup covers exactly the base of the cup, it is half full. Any more and it is more than half full and any less and it is less than half full.
