Another set of olympiad problems!

This was supposed to be done way earlier, but I got caught up with something.

If you like solving olympiad problems, you might like this set.

You might notice that this set has only number theory problems. Well, since this year's IMO did not have a single pure number theory problem, I thought we could use some number theory problems.

Since we're talking about the IMO, there's an easy IMO problem in the set. See if you can get that right.

And umm... subscribe to #Mursalin'sSets, like and re-share!

Here's the link to the previous set.

If you don't like number theory problems, I apologize. I promise this the third set will have other topics as well.

#NumberTheory #Math #InternationalMathOlympiad(IMO) #Olympiad #Mursalin'sSets

Easy Math Editor

This discussion board is a place to discuss our Daily Challenges and the math and science related to those challenges. Explanations are more than just a solution — they should explain the steps and thinking strategies that you used to obtain the solution. Comments should further the discussion of math and science.

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Math	Appears as
Remember to wrap math in `$` ... `$` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$

Comments

Good set, want more!

Sagnik Saha - 6 years, 11 months ago

There was a typo in question 3. It's been fixed now. Sorry, everyone!

Mursalin Habib - 6 years, 11 months ago

Great questions thanks

Victor Spirou - 6 years, 11 months ago

Math	Appears as
Remember to wrap math in `\(` ... `\)` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$