## Search found 13 matches

- Sat Jun 27, 2015 5:06 pm
- Forum: Secondary Level
- Topic: Regular Polygon inscribed in a circle
- Replies:
**5** - Views:
**3967**

### Re: Regular Polygon inscribed in a circle

If point $O$ is on any side of a triangle, shall we count it as inscribed??

- Sat Jun 27, 2015 2:44 am
- Forum: Secondary Level
- Topic: Find XYZ
- Replies:
**10** - Views:
**4665**

### Re: Find XYZ

I wanted the proof that no other solution exists. Otherwise, It's trivial to assume the solution . Actually,I think there are infinitely many solutions possible for this equation(!) :? Clearly, $$x^2+y^2+z^2=xyz$$ modulo $3$ shows that they are all multiples of $3$.Now, we can write $$x=3x'$$,$$y=3...

- Sat Jun 06, 2015 5:20 pm
- Forum: Secondary Level
- Topic: Chittagong-2014
- Replies:
**1** - Views:
**1453**

### Re: Chittagong-2014

The answer is 17. If a crocodile cannot part the others into 7 then everyday there are 4 new crocodiles added on. So, firstly, we have to find the minimum of n when 4n divisible by 7. Here n = 7. So, on the 7th day a crocodile will be able to part the others into 7. Thus, on the 8th day there will b...