Welcome to The Puzzler. Every week, there are 2 new puzzles related to my passion: math, logic, and thinking. The first puzzle will be The Puzzler Quik, meant for those who crave something fun-sized. The second puzzle will be The Puzzler Think, meant for those who love to ponder. The answers will be posted in next week’s column. Don’t forget to submit your answer for a potential shout-out in the next edition of the Puzzler.
Puzzler Quik
ThePuzzlr just released it’s first Number Theory Course. If the course will improve your score on AMC 8(a 25 point, 25 question test) by 25%. and your current score is 12, what will be your new score after taking the course?
Puzzled?
What is 25% of 12? Add that to 12.
25% of 12 is 3.
Evaluate the last digit of $$213212^{20000}$$
Puzzled?
Only the units digit matter for 213212.
Try to find a pattern of the unit digit of powers of 2.
ANSWERS TO LAST WEEK’S PUZZLERS
Last Week's Puzzler Quik
Jassi From Punjab was the winner of this shout-out!
List of prime numbers up to 100:
2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, …
This gives us 25 prime numbers!
Last Week's Puzzler Think
The shoutout for this problem goes to Katherine From Georgia!
This number is just 1 less than the LCM of 1-10(why?). The LCM of 1-10 is 2520. Thus, our answer is just 2519
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