### Brain Teasers

# Spare Stair

Mad Ade's office is on the 3rd floor of the "Multinational Kebab and Lard Insurance Company" building and, though there is a lift, he likes using the big circular staircase. He goes up the stairs 2 at a time (to get more exercise) but is annoyed that there is always just 1 stair left over when he gets to his landing.

One day, in a burst of energy he went up the stairs 3 at a time, and still had 1 stair left over!

By counting (certainly not by doing it!) Mad Ade established that even if he could go up 4, 5 or 6 stairs at a time there would still be 1 left over.

Worse yet, no matter how many stairs Mad Ade did at a time (except for 1 or the lot) there would always be some left over.

How many stairs are there to Mad Ade's office?

One day, in a burst of energy he went up the stairs 3 at a time, and still had 1 stair left over!

By counting (certainly not by doing it!) Mad Ade established that even if he could go up 4, 5 or 6 stairs at a time there would still be 1 left over.

Worse yet, no matter how many stairs Mad Ade did at a time (except for 1 or the lot) there would always be some left over.

How many stairs are there to Mad Ade's office?

### Answer

61 stairsHide Answer Show Answer

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