Think
Algebra
Level
4
This year, Sam's birthday is on a Monday. What is the minimum amount of time in years before his birthday is on a Monday again? Assume this year isn't a leap year and next year isn't a leap year
The answer is 7.
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1 solution
I would use abstract algebra to solve it. Let x= the amount of years it will take before his birthday is on a Monday again X= mod 7=0 Therefore x/7= a whole number meaning x is a multiple of seven since we are trying to find the minimum amount of time before his birthday is on another Monday the answer must be seven.
Ps. the only reason I used the equal sign instead of the modular arithmetic sign is because my computer can't make that sign.