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
What digit is the most frequent between the numbers 1 and 1,000 (inclusive)?
Puzzled?
Almost all digits appear the same number of times except for one which appears just one more time.
Almost all the digits are symmetric, except, think about the number 1000!
What digit is the least frequent between the numbers 1 and 1,000?
Puzzled?
Think about which digit does not have a hundred’s place?
1-9 each have a hundreds place, which digit does not?
ANSWERS TO LAST WEEK’S PUZZLERS
Last Week's Puzzler Quik
Katrina from California was the winner of this shout-out!
Let the father’s age be f and the son’s age be s. $$fs = 2015.$$ We need both f and s to be an integer. Thus, we look at the factor pairs of 2015. These are (1, 2015); (2015, 1); (403, 5); (5, 403); (13, 155); (155, 13); (65, 31); (31, 65). They are born in the same century so the age difference must be less than 100 and the father must be older. Thus, the father is 65 and the son is 31. $$65-31=34.$$
Last Week's Puzzler Think
The shoutout for this problem goes to Ray from Texas!
Here is the answer presented in a video!
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