Maths Olympiad Daily Problems

Guys, how will you prove that (4^n)-3n-1 is always divisible by 9 for n belongs to positive integer?

Beautiful question

Sup everyone am making a mock IOQM paper too, don't worry I don't know the answer of any and am gonna attempt it along with ya guys lol. Looking at the pace, expect the paper to be sent across by the next week or so.

Last few problems from Utkarsh badmosh 🔪🔪🔪

A clearer picture of the question

Everyone is advised to give this mock. Don't underestimate it, given that you are a serious IOQM aspirant. A mate pf ours, probably younger than most of us here, made this paper for us so that we can give our best, leave alone cracking it. Don't you think you should attempt it for the sake of his time and respect? It's disheartening to see you people ignoring it like this. What even is tye meaning of 5.3k subscribers when even 10 of u can't give a well made doable mock. Please, don't downplay it like this.

Everyone, just a small request from my side, please start posting HIGH RMO-lvl probs or beyond again. While I don't wish to underestimate those who are sending comparatively easier problems, I think MODP no is losing out for what it is known, a den of thinkers who discuss international and national olympiad questions at will. This group once used to be a den of INMO lvl probs and more, but looking at it today, am just sad. I hope everyone co-operated If I encounter a good level problem i will ensure to forward it at the earliest Regards Sarthak

📢 IOQM MOCK TEST – 7 June (Sunday) 📢 IOQM MOCK TEST by MODP is here. Leaderboard and results will be posted on Wednesday. You have until Tuesday to submit the mock. The paper LInk is in the description of the form. Guys, this is an online mock, so we have no way to stop cheating, so please attempt with full honesty. Always remember: Above all, don't lie to yourself. The man who lies to himself and listens to his own lie comes to a point that he cannot distinguish the truth within him, or around him, and so loses all respect for himself and for others. And having no respect, he ceases to love. - The Brothers Karamazov by Fyodor Dostoevsky Exam Link:  https://forms.gle/2Bo7ZpP3m46kurmH8