Difference between revisions of "2020 USOJMO"

Revision as of 11:25, 22 May 2020

The 2020 USOJMO is an online contest that takes place on Friday June 19 to Saturday June 20. The scoring is exactly the same as the USAJMO.

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-Shh..., don't tell anyone (giving you 2 free jmo problems!) (solutions for 2020 USOJMO)
+The 2020 USOJMO is an online contest that takes place on Friday June 19 to Saturday June 20. The scoring is exactly the same as the USAJMO.
-Problem 1: <math>8^8</math> = <math>2^x</math>. Find x.
-Solution: <math>8^8 = 2^24</math> so x = <math>\boxed{24}</math>
-Problem 2: Bob eats 1 hamburger a day. He likes to eat his hamburgers by putting the whole thing in his mouth. After how many days will he eat exactly 1.7 hamburgers?
-Solution: He will never eat the amount of burgers because he always eats 1 at a time in one go. Thus, the answer is <math>\boxed{0}</math>.