Strange Seatings

While travelling in Portugal, I rode the trains several times.  But I never really figured out how they numbered their seats.

In two consecutive rows, the aisle seats are 61 and 62, and the corresponding window seats are 63 and 68?

I spent several long train rides trying to figure out the pattern; I succeeded only in annoying my travelling companion.

11022011

I noticed that two recent dates had the property that the day-month combination was just a permutation of the year.

This struck me as a rare occurrence.  And then I realized that we had an honest-to-goodness palindrome date coming up!

This is definitely a rare occurrence!  In celebration, I recommend that you do something forwards and then backwards.

I suppose the question now is, “When is the next palindrome day?”

Fun with the PSAT

My students were recently making fun of some of the math problems on the PSAT.  Apparently, one of the questions went something like this:

After having a bit of a laugh about it, we decided to try to help the PSAT exam writers make a more interesting question.  Here is our revision:

Creating this new question was far more interesting than solving the original!  And thanks to Wolfram|Alpha, we can easily check the answer.

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