Question

In my block of 100 flats a painter is kept employed by painting one flat each month from January to November. The flats are painted in the same order and he takes a holiday every December. If my flat was last painted in August 2010 when will it be next painted?

Answer 1

January to November == 11 months.

11 flats are painted every year.

100 flats / 11 flats per year = 9 years + 1 month 

the next time it will be painted is September 2019.

Answer 2

Answer:

The answer is September 2019.

Step-by-step explanation:

In order to determine the date of the painting flat, we have to know how the painter works.

Every year, the painter paints 11 flats, because he paints one flat each month and he doesn't work in December.

Also, if we consider that "my flat" is currently in the first position, we have to wait until the painter paints the 100 position because the painter has to paint 99 flats more.

So, "my flat was painted in August 2010", then the painter paints 3 flats more that year (September, October, November).

Now we add more painted flats every year:

3+11+11+11+11+11+11+11+11=91

At beginning of 2019, the painter has painted 91 flats. So in 9 months later, the painter will be paint the 100 position, that is in September 2019.

Finally "my flat" will be painted in September 2019.