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Logical Puzzles

Can You Find the Height of One Cup?

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?

height-of-the-cup-puzzle-solution

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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Post Keywords:

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By Kumar

Hi All, I am Ramesh Kumar, author of this blog. I am an IT engineer. I love puzzles and riddles so I decided to publish the same for others like me. If you like puzzles then do subscribe to my email listing. You can also follow me through the website Facebook page . If you like to contact me then use the contact page form, I will reply to your emails ASAP. Thanks

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