SOLUTION: In a non-leap year that contains three Friday the 13ths, one of these Friday the 13ths must fall in a) July b) August c) September d) October e) November

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Question 1201549: In a non-leap year that contains three Friday the 13ths, one of these Friday the 13ths must fall in
a) July
b) August
c) September
d) October
e) November
Found 3 solutions by mananth, ikleyn, math_tutor2020:
Answer by mananth(16946)   (Show Source): You can put this solution on YOUR website!
e) November
In a non-leap year, February, March, and November will all start on the same day of the week. If it ia Sunday you will get friday the 13th.

Answer by ikleyn(52814)   (Show Source): You can put this solution on YOUR website!
.

In his response, @mananth forgot to point the link (web-site address),
from which he copied-pasted his response without a reference.

This link is THIS

https://www.google.com/search?q=In+a+non-leap+year%2C+February%2C+March%2C+and+November+will+all+start+on+the+same+day+of+the+week.&rlz=1C1CHBF_enUS910US910&oq=In+a+non-leap+year%2C+February%2C+March%2C+and+November+will+all+start+on+the+same+day+of+the+week.+&aqs=chrome..69i57.517j0j15&sourceid=chrome&ie=UTF-8



Answer by math_tutor2020(3817)   (Show Source): You can put this solution on YOUR website!

Answer: e) November


Explanation:

This can be done through a trial-and-error approach.

Take a look at the calendar for 2009
https://www.timeanddate.com/calendar/print.html?year=2009&country=1&cols=3&df=1
then let's mark the 13th of each month
MonthDayMonthDay
jan 13thtuejul 13thmon
feb 13thfriaug 13ththu
mar 13thfrisep 13thsun
apr 13thmonoct 13thtue
may 13thwednov 13thfri
jun 13thsatdec 13thsun

We have 3 instances of Friday the 13th.
They occur in:
February
March
November, which is the final answer

Further Reading
https://scienceworld.wolfram.com/astronomy/FridaytheThirteenth.html
https://www.timeanddate.com/calendar/weekday-friday-13
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