Search found 20 matches

by Naheed
Fri Jan 29, 2016 1:07 am
Forum: Secondary Level
Topic: Prime Numbers
Replies: 2
Views: 775

Re: Prime Numbers

Nice! Thanks.
by Naheed
Thu Jan 28, 2016 12:55 pm
Forum: Secondary Level
Topic: Find (p,q)
Replies: 1
Views: 588

Find (p,q)

If p,q are two prime numbers and there are two positive and different solutions to the equation x²-px+q= 0, find (p,q) .
by Naheed
Thu Jan 28, 2016 12:43 pm
Forum: Secondary Level
Topic: Find p
Replies: 1
Views: 663

Find p

$p$ is a prime number. Summation of all the integers from $1$ to $p$ is divisible by $p$ and other prime numbers less than $p$. Find the values of $p$.
by Naheed
Thu Jan 28, 2016 12:22 pm
Forum: Secondary Level
Topic: Prime Numbers
Replies: 2
Views: 775

Prime Numbers

For $n\in \mathbb N$, find the values of $n$, so that $3n-4, 4n-3$ and $5n-3$ can be prime numbers.
by Naheed
Thu Jan 28, 2016 12:00 pm
Forum: Number Theory
Topic: A Problem in Number Theory
Replies: 2
Views: 869

Re: A Problem in Number Theory

I don't get you Adib.
by Naheed
Thu Jan 28, 2016 11:52 am
Forum: Secondary Level
Topic: Number Theory
Replies: 5
Views: 1259

Re: Number Theory

But if b is negative, (a-b)² >(a+b)² .
by Naheed
Wed Jan 27, 2016 11:31 pm
Forum: Secondary Level
Topic: Number Theory
Replies: 5
Views: 1259

Re: Number Theory

Thanks a lot! Thought it harder. (a-b)²= 0--that's what I didn't get at first.
by Naheed
Wed Jan 27, 2016 6:50 pm
Forum: Secondary Level
Topic: Number Theory
Replies: 5
Views: 1259

Number Theory

If 4ab is divisible by (a+b)² then prove that, a=b .
by Naheed
Thu Jan 07, 2016 2:58 pm
Forum: Secondary: Solved
Topic: Dhaka Secondary 2011/2 (Junior 2011/4)
Replies: 8
Views: 2770

Re: Dhaka Secondary 2011/2 (Junior 2011/4)

What's a perfect even square?
by Naheed
Wed Jan 14, 2015 5:27 pm
Forum: Junior: Solved
Topic: Junior Divisional 2013/2
Replies: 3
Views: 1659

Re: Junior Divisional 2013/2

I am fully agreed with the logic shown by Raiyan Jamil. I also think that the minimum and only number of teams that should be formed is 200, which means each team would contain a single student. It can also be ensured that no team has any member who is disliked by another team-mate (here's no option...