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
A patch of lily pads float in a lake. Every day, the patch doubles in size. If it takes 48 days for the patch to cover the entire lake, how long would it take for the patch to cover half of the lake?
Puzzled?
The answer is not 24!
You don’t need a second hint!
Simplify $$i^{640}$$ Remember, I is the square root of -1.
Puzzled?
Try writing out the first few powers of i. Do you see a pattern.
The powers of i repeat every 4 numbers.
ANSWERS TO LAST WEEK’S PUZZLERS
Last Week's Puzzler Quik
Sana from Alabama was the winner of this shout-out.
First, if you need a refresher on Palindromes, here is a video on what palindromes are!
We observe that we have a number of the form ABA. Since this number is odd, A must be a odd digit. We have 5 choices for A and 10 choices for B. Our answer is $$10\cdot5=50$$
Last Week's Puzzler Think
This week’s shout out goes to Sally from Texas! Kudos to her for solving the problem!
I could have written an explanation… but the only thing better than reading is watching a video! Here is a video that solves the Classic Marble Riddle!
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