Riddles, one at a time
Shaded Part: The Triangle
What fraction of the square is gold?
Cut the triangle down the middle and move one half.
1/2
The triangle has the full base and full height of the square, so it is half: 8 of 16 squares.
Flip-Flop Gates
Gates start as shown and flip after each box. Where does box 3 land?
BIN C
After boxes 1 and 2, box 3 goes left, right, right.
Dim or Bright
What number does the last row show?
First find each lamp's value: the top row gives the left lamp.
22
The top 3 rows give lamp values 9, 3 and 1. Bright counts double: 18 + 3 + 1 = 22.
Lamp Code: Deduce the Lamps
What number does the last row show?
Compare the rows showing 3 and 5: they share one lamp.
14
Lamps worth 8, 4, 2, 1 fit every row: 2 + 1 = 3, 4 + 1 = 5, 8 + 1 = 9, 4 + 2 = 6. So 8 + 4 + 2 = 14.
Mirror Clock: The Long Wait
4 hours 11 minutes
16:61, 17:71, 18:81 and 19:91 are not real times. The next is 20:02, 4 h 11 min after 15:51.
Day After Tomorrow
Wednesday
Two days back from Friday: Thursday, then Wednesday.