Art of Problem Solving

2020 USOJMO: Difference between revisions

JMO (Sneak Peak at 2 problems)
 
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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>.

Revision as of 10:25, 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.