Rob the robot went to the candy-store to buy some candies. He found his favourite gums in front of him, in packages of 225 gums in each.
Though extremely intelligent yet he is still a robot, thus capable of using only 1’s and 0’s.
What is the minimum number of gums that Rob ate that day if he finished all of his packages, and the number of gums contained nothing but 1’s and 0’s?
Oh yes, and you can’t cheat and use binary notation. The answer is in base 10, but still only uses 1’s and 0’s.
Hint
Think of the factors of 225, and kids, don’t try this at home (or you would suffer from a severe stomach ache).
Answer
11,111,111,100
This contains nine ones, so it is divisible by 9; and two 0’s at the end, so it is divisible by 25.
