### Brain Teasers

# How Many Students

There are several students in the classroom. Some of them have 28 oranges, some have 30, and others have 31. Altogether they have 365 oranges.

How many students are there?

How many students are there?

### Hint

If this teaser reminds you of something, please post it in the comments.### Answer

365=31*11+24=28*13+1, therefore there are 12 or 13 students.But if there are 13 students, they have at least 28*11+30+31=369 oranges.

Therefore, there are 12 students.

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## Comments

ya got it...no. of months in a year..

nice teaser...

nice teaser...

Very easy once I caught on to the total number of oranges.. Nice job!!

Awesome I got it!!!

I GOT IT!! its a calendar! i got it right after i seen the hint.. then i notice there r 365 days in a yr, 28,30,or 31 days in the 12 months YAY ME!!

cool teaser!!

cool teaser!!

Haha. Yeah it does. 12 months of the year!

I don't mean to be picky, but the only possible combination for 365 oranges is (31*7)+(30*4)+(28*1)

The problem states that "some have" 28. Which means more than 1 person. So the answer contradicts its own question.

The problem states that "some have" 28. Which means more than 1 person. So the answer contradicts its own question.

This teaser could be in the trick category. Good one!

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