Read the question twice before you reach for a calendar formula.
How many letters are in the month after May?
Answer
There are 4 letters in "June".
The question asks how many letters are in the name of the month that comes after May. That month is June, and J-U-N-E has four letters. People often overthink it into a calendar-math trap.
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Look it up if you still want to argue
The answer turns on one word, so a dictionary settles it faster than a calendar does: