Riddles, one at a time
Old Phone Keys: 2283
Which of the four words types 2283?
The third letter decides it: which key is it on?
CAVE
C and A are on 2, V on 8, E on 3: 2283.
Shaded Part: Tilted Square
What fraction of the square is gold?
Find the area of the four corner triangles that are not gold, then take it away.
5/8
The 4 corner triangles are 3 × 1 ÷ 2 each: 6 of 16 squares. Gold is 10/16 = 5/8.
How Many Routes: 3 × 2 Grid
Moving only right or up, how many different routes lead from start to the gem?
Each corner's count is the count to its left plus the count below it.
10
The two corners next to the gem can be reached in 6 and 4 ways: 6 + 4 = 10.
Count Every Cube
27
Column heights, row by row: 4+3+3+1 = 11, 3+3+2+1 = 9, 2+2+1 = 5, 1+1 = 2. Total 27, hidden cubes included.
The Clock in the Water
Top and bottom swap in the water. What time does the real clock show?
7:50
Water flips top and bottom: flip the hands back up.
The Stone Garden
Which gate leads to the fountain?
GATE C
Every other gate is sealed off by a stone wall.