The date 02/05 is unclear if we do not mention the date format; it could be the 2nd of May or the 5th of February. However, the date is "obvious" in the case of 02/13 -- this can only be the 13th of February!
During the four months May-August (in a given year), how many days are there for which the date is "obvious"?
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The date will be "obvious" for all date after the 12th of each month.
Now, (31 - 12) + (30 - 12) + (31 - 12) + (31 - 12) = 75
This gives 75 days during the four months.
But 5/5/2015, 6/6/2015, 7/7/2015, 8/8/2015 are also "obvious" dates!
So there are a total of 79 days during May-August.