Mindsport Dapper Diaper Dept.
E4 Happy New Year to you too, people who wished and even those who didn’t. This reminds me of a joke about a baby diaper manufacturing company, which announced their new product on a new year’s day: a diaper that made a sound whenever it got soiled. They actually called it A Nappy You Hear.
You can stop groaning now because I have something important to say. I was going to talk about how a lot of people growl from time to time, saying they are not getting published even though they’d got the right answer, but I suddenly realised I’ve run clean out of space, time, energy, inclination, age and money. So next week abs def.
Meanwhile, some unit cubes are glued together to form a larger cube. Some of the faces of the larger cube are painted. The cube is taken apart and it is found that 217 of the unit cubes have paint on them. What is the total number of unit cubes?
DEAR MS (An earlier problem was: “A cube of butter is sliced five times by a butter knife. Into how many pieces at most can that cube of butter be divided if each knife stroke is perfectly straight and the pieces of butter are never rearranged?” In this connection, let me say that 23 people got the wrong answer ranging from 12, 16, 22 and 32 pieces. Only one has got it right so far. — MS)
Cut-above-the-rest-dept: This can be achieved by using the formula (x^3 + 5*x)/6 + 1, where ‘x’ is the number of cuts. So the maximum number of pieces that can be obtained in five cuts are 26. — Saifuddin S F Khomosi,
(Next: “Which were the only Olympic Games not held in a leap year?” — MS)
LEAPING-GAMES-DEPT: By Olympics, we almost tend to assume it’s the Summer Olympics, though, in fact, there are Winter Olympics too. The summer games are always held in leap years except the one held in 1900, which, technically, is not a leap year because 1900 is not a multiple of 200 (or divisible