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#337841 Santa Claus's speed
Posted by BMAD on 19 March 2014  03:57 AM
#337840 gun with unlimited bullets
Posted by BMAD on 19 March 2014  03:48 AM
 0
#337790 Majority Rules
Posted by BMAD on 14 March 2014  05:45 PM
In an presidential election between Bipa and Viktor, the winning candidate Bipa received n+k votes, whereas Viktor has received n votes. (n and k are positive integers.) If ballots are counted in a random order, what is the probability that Bipa's accumulating count will always lead his opponent's, and why?
 1
#337789 Play on a classic: computers
Posted by BMAD on 14 March 2014  05:42 PM
 1
#337788 Penny Game
Posted by BMAD on 14 March 2014  05:39 PM
 1
#337787 SBT Fraction
Posted by BMAD on 14 March 2014  05:30 PM
There are two fractions, 34/55 and 55/89. We are looking for a third fraction of positive integers a/b, where 34/55>a/b>55/89 and 55<b<89. What is the smallest b where this is possible?
 1
#337786 semiregular polygons
Posted by BMAD on 14 March 2014  05:19 PM
 1
#337766 Smallest Consecutive Integer Triangle Possible
Posted by BMAD on 11 March 2014  02:41 PM
 1
#337748 checker chase game
Posted by BMAD on 10 March 2014  02:12 AM
 1
#337747 average birthdays
Posted by BMAD on 10 March 2014  02:08 AM
of b+g?
 1
#337746 antifirst
Posted by BMAD on 10 March 2014  01:55 AM
E.g.
1 has 1 divisor,
2 has 2 divisors, (skip 3 since it only has 2 divisors)
4 has 3 divisors,
6 has 4 divisors, and so on...
So the first four numbers are (1,2,4, and 6).
Your tasks,
find the biggest antifirst number under 1,000,000.
Prove or provide a counter example to the following conjecture, all antifirst numbers greater than 6 are abundant or perfect.
 1
#337731 Sheep Mowing service
Posted by BMAD on 07 March 2014  04:47 PM
If we tie a sheep to one peg it eats out a circle in grass. If we put a rope through a ring on its neck and tie both ends of the rope to two pegs it eats out an ellipse. If we want an oval we tighten one rope between two pegs put a ring with a rope on it and tie the sheep to its other end.
How to tie a sheep so that it eats out a square in grass? We have one sheep ropes pegs and rings.
 0
#337678 reversed coefficients
Posted by BMAD on 03 March 2014  06:27 PM
If P(x) and Q(x) have 'reversed' coefficients,
for example:
P(x) = x^{5}+3x^{4}+9x^{3}+11x^{2}+6x+2
Q(x) = 2x^{5}+6x^{4}+11x^{3}+9x^{2}+3x+1
What can you say about the roots of P(x) and Q(x)?
 0
#337677 Simplified American Football
Posted by BMAD on 03 March 2014  06:22 PM
 1
#337676 number theory: 7 conjectures
Posted by BMAD on 03 March 2014  06:12 PM
 0
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