## Search found 37 matches

Thu Sep 03, 2015 10:19 am
Forum: National Math Camp
Topic: ONTC Final Exam
Replies: 34
Views: 16358

### Re: ONTC Final Exam

In p5 can I use the cyclic version instead of the given one ?
Wed Sep 02, 2015 7:14 pm
Forum: National Math Camp
Topic: ONTC Final Exam
Replies: 34
Views: 16358

### Re: ONTC Final Exam

Rah4927 , I know about what you wrote . Never ending was my first step . Disorder in sequence would have been the next . I just kind of couldn't do it and confused me well . Well , and thank you .
Wed Sep 02, 2015 3:44 pm
Forum: National Math Camp
Topic: ONTC Final Exam
Replies: 34
Views: 16358

### Re: ONTC Final Exam

In p8 , the number is irrational . Cause prime numbers never end . Can anyone give me the proof of why they never end ?
Wed Sep 02, 2015 10:23 am
Forum: National Math Camp
Topic: ONTC Final Exam
Replies: 34
Views: 16358

### Re: ONTC Final Exam

In p3 , let's have two odd numbers - 2n+1 and 2p+1 . Their sum = 2n+2p+2 = 2(n+p+1) . Suppose 2n+2p+2 is divisible by 2 , but not 4 . So n+p+1 is not divisible by 2 . The difference = 2n-2p = 2(n-p) . n+p+1 is not divisible by 2 . So n+p must be divisible by 2 . That can be possible in two ways . Ei...
Sun Aug 30, 2015 9:26 am
Forum: National Math Camp
Topic: Exam 2, Online Number Theory Camp, 2015
Replies: 24
Views: 11920

### Re: Exam 2, Online Number Theory Camp, 2015

Can p4 be solved like this ? (a^2 - 1)*(b^2-1) = a^2*b^2-a^2-b^2+1 . It is divisible by both a and b . And , a^2*b^2 is divisible by ab . So that leaves 1-a^2-b^2 . Let's multiply it with (-1) . Result = a^2+b^2+1 which is divisible by ab . And as for k being a positive integer , a and b are both gr...
Sat Aug 29, 2015 10:42 pm
Forum: National Math Camp
Topic: Exam 2, Online Number Theory Camp, 2015
Replies: 24
Views: 11920

### Re: Exam 2, Online Number Theory Camp, 2015

In problem 4, only possible solution I can find is a= 3 , and b=4 . But then a^2 + b^2 - 1 / ab = 2 . Any hints ?
Fri Aug 28, 2015 5:29 pm
Forum: Introductions
Topic: Hi Everyone!
Replies: 1
Views: 3494

### Hi Everyone!

Hi I am Epshita . I am from Netrokona . I am in std 5 . I hope participating in this forum will be an enjoyable experience for me .