Puzzles that blend logic and math are always fun. Here is puzzle with stacked cups and you are asked to find height of one cup. At first glance, it looks simple, but solving it takes clever reasoning.
The Stacked Cup Puzzle: Can You Find the Height of One Cup?

You see three stacks of matching cups:
- 5 stacked cups = 34 cm
- 2 stacked cups = 19 cm
- 1 cup = ?
Your goal: Find the height of one cup.
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Just remember, when you stack cups, they don’t add their full height each time. Part of each cup slides into the one below it.
Let’s solve this puzzle.
Test your brain with this logic puzzle. If 5 stacked cups equal 34 cm and 2 stacked cups equal 19 cm, find the height of one cup!
Let’s call:
H = height of one cup
S = height of one stacked cup
So let’s write all equations using this:
H + 4S = 34 cm
H + S = 19 cm
Let’s solve these 2 equations now by subtracting second equation with first one.
H + 4S – (H + S) = 34 cm – 19 cm
3S = 15 cm
S = 5 cm
Let’s replace value of S in second equation:
H + 5 cm = 19 cm
H = 14 cm
Final Answer:
👉 Each cup is 14 cm tall.
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