## BdMO National Secondary: Problem Collection(2016)

Discussion on Bangladesh Mathematical Olympiad (BdMO) National
Tasnood
Posts: 73
Joined: Tue Jan 06, 2015 1:46 pm

### Re: BdMO National Secondary: Problem Collection(2016)

5(b)

samiul_samin
Posts: 1007
Joined: Sat Dec 09, 2017 1:32 pm

### Re: BdMO National Secondary: Problem Collection(2016)

Where is the problem 7?

samiul_samin
Posts: 1007
Joined: Sat Dec 09, 2017 1:32 pm

### Re: BdMO National Secondary: Problem Collection(2016)

Here you can get the full solution of No,7

samiul_samin
Posts: 1007
Joined: Sat Dec 09, 2017 1:32 pm

### Re: BdMO National Secondary: Problem Collection(2016)

Problem 3.

prottoy das
Posts: 17
Joined: Thu Feb 01, 2018 11:28 am
Location: Sylhet

### Re: BdMO National Secondary: Problem Collection(2016)

samiul_samin
Posts: 1007
Joined: Sat Dec 09, 2017 1:32 pm

### Re: BdMO National Secondary: Problem Collection(2016)

samiul_samin wrote:
Sun Mar 04, 2018 8:25 am
Problem 3.
This link is corrupted.Here you can get the solution of problem no 3.

samiul_samin
Posts: 1007
Joined: Sat Dec 09, 2017 1:32 pm

### Re: BdMO National Secondary: Problem Collection(2016)

prottoy das wrote:
Mon Feb 18, 2019 1:35 pm
Problem no $6(b)$.

samiul_samin
Posts: 1007
Joined: Sat Dec 09, 2017 1:32 pm

### Re: BdMO National Secondary: Problem Collection(2016)

Problem 1(a)
Hard solution
$(n-1)×n×(n+1)=(n^2-n)(n+1)$[According to fermat's little theorem given expression is divided by $2$ ]

$(n-1)×n×(n+1)=(n^2-n)(n+1)=n^3-n$[According to fermat's little theorem given expression is divided by $3$ ]

So,$(n-1)×n×(n+1)$ is divided by $2×3$ or $6$. Proved.