## Search found 188 matches

Sun Jan 15, 2012 7:11 pm
Forum: Junior Level
Topic: junior combinatorics
Replies: 4
Views: 1621

### Re: junior combinatorics

I got it
Sun Jan 15, 2012 10:19 am
Forum: Geometry
Topic: A little help.....
Replies: 6
Views: 1796

### Re: A little help.....

Sat Jan 14, 2012 6:29 pm
Forum: Junior Level
Topic: Prooove it!
Replies: 6
Views: 1702

WLOG let us assume $c\leq b\leq a$ let $x= \frac {1}{a},y=\frac {1}{b},z=\frac {1}{c}$ now, now, we can find the left hand side, $\frac{x^{3}}{\frac{1}{y}+\frac{1}{z}}+\frac{y^{3}}{\frac{1}{x}+\frac{1}{z}}+\frac{z^{3}}{\frac{1}{x}+\frac{1}{y}}$ $=\frac{x^{2}}{y+z}+\frac{y^{2}}{x+z}+\frac{z^{2}}{... Fri Jan 13, 2012 11:04 pm Forum: Junior Level Topic: Crazy statements Replies: 4 Views: 1280 ### Re: Crazy statements u r r8.................... Fri Jan 13, 2012 10:47 pm Forum: Junior Level Topic: Prooove it! Replies: 6 Views: 1702 ### Prooove it! a,b,c are positive real numbers.\[abc=1$Prove that,$\frac{1}{a^3(b+c)}+\frac{1}{b^3(c+a)}+\frac{1}{c^3(a+b)}\geq \frac{3}{2}$
Fri Jan 13, 2012 1:00 pm
Forum: Junior Level
Topic: Crazy statements
Replies: 4
Views: 1280

### Crazy statements

Teacher wrote a number on board.A student told the number is divisible by 31.Then another student told it is divisible by 30,the next student told it is also divisible by 29...thus the last student told the number is divisible by 2.Then Teacher said,"Of all this statement two consecutive statements ...
Thu Jan 12, 2012 11:29 pm
Forum: Junior Level
Replies: 4
Views: 1832