## 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**

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

### Re: Prooove it!

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
- Topic: Friendly Triangles[self-made]
- Replies:
**4** - Views:
**1832**

### Re: Friendly Triangles[self-made]

I think it will be 30 as well...........(Really they r friendly )

- Thu Jan 12, 2012 8:29 pm
- Forum: News / Announcements
- Topic: Prothom Alo 4/1/2012 page 6 column 5
- Replies:
**13** - Views:
**5179**

### Re: Prothom Alo 4/1/2012 page 6 column 5

The problem and the article is a funny joke......