1. Each letter represents a different digit from 1 to 9 2. The total of each row is 17. 3. (B × B) + B + F = A 4. C × F = EF (a 2-digit number, not their product)
A + B + C = 17 D + E + F = 17 B2 + B + F = A C × F = EF
To begin with, B has to be a 1 or 2 or else A wouldn’t be a single digit. Plug in B = 2, gives you 6 + F = A, meaning F and A can only be (1,7) or (3,9). To get 17, C would have to be 8 or 6, but those values don’t work for C × F = EF. So B must be 1.
2 + F = A means F and A can be (2,4), (3,5), (4,6), (5,7), (6,8) or (7,9). To get 17 on the top row, the only option that leaves C as a single digit is F = 5 and A = 7.
C × F = EF 9 × 5 = 45, so E = 4 and D = 8 to make the second row equal to 17.
A piano. The word piano has five letters, and the scale on the piano is A through G, seven letters. The piano keys don’t have locks and playing piano requires you to keep time (but with a metronome, not a clock).
A completely black dog was strolling down main street during a total blackout affecting the entire town. Not a single streetlight had been on for hours. As the dog crosses the center of the road a Buick Skylark with two broken headlights speeds towards it, but manages to swerve out of the way just in time. How could the driver see the dog to swerve in time?
I’m up and down and round about, yet all the world can’t find me out. Though thousands have employed their leisure, they never yet could find my measure. I’m found in almost every garden, In a compass or a farden. There’s neither chariot coach nor mill may move one inch except I will.
On the sixth of May in the year 1978 at exactly thirty-four minutes past noon, a most extraordinary event occurred. This singular occasion will probably never be witnessed by anyone who was alive at that time. What happened?
The time and date was 12:34 5/6/78, counting from one to eight. The next time this event will occur is 12:34 6 May 2078. Unless someone alive in 1978 lives to be over a hundred, they won’t be alive when it happens again.
Amazingly, this actually happened. The parents died in a crash crash and their parents fought for the rights to the four frozen embryos left by their late children. After a surrogate pregnancy, the baby was born with DNA matching their deceased parents.
You have fifty quarters on the table in front of you. You are blindfolded and cannot discern whether a coin is heads up or tails up by feeling it. You are told that x coins are heads up, where 0 < x < 50. You are asked to separate the coins into two piles in such a way that the number of heads up coins in both piles is the same at the end. You may flip any coin over as many times as you want.