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Welcome to perplexus.info, flooble's perplexing puzzle portal. Here, we collect all sorts of puzzles, from simple logic questions and word tricks to in-depth math problems like probability and geometry. Click around and see if your brain is up to the task! If you're new here, make sure you sign up so that you can leave comments and submit your own problems!
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Difficulty: 3 of 5 Latest: Cables II (in Tricks)
In the problem Cables provided by K Sengupta, the solution required the knowledge that a hanging flexible cable takes the form of a catenary, the general equation of which is y=a*cosh(x/a), combined with calculating the overall length of the catenary between the two fixed points of the cable.

This time we have a cable strung between two towers on a flat level plane. The low point of the cable is 10m above the plane. Later, the cable heats up and expands to a length of 80m. The towers also expand and gain 0.2m in height – they are now exactly 50m high. The low point of the cable is still 10m above the plane. How far apart are the towers?

(No Solution Yet, 2 Comments) Submitted on 2024-03-27 by Kenny M   
Find a continuous, strictly monotonic function f:R->R (R the set of real numbers) which is non-differentiable on a very dense set.

For this problem, we'll call a set of real numbers very dense if it intersects every interval [a,b] in an infinite, uncountable number of elements.

(Solution Posted, 11 Comments) Submitted on 2006-10-01 by JLo   
Difficulty: 3 of 5Given the Root, Find the Value (in Just Math)
Posted on 2024-03-27 by K Sengupta (Solution Posted, 2 Comments)
Difficulty: 3 of 5Maximizing products (in Just Math)
Posted on 2024-03-26 by Ady TZIDON (No Solution Yet, 5 Comments)
Difficulty: 2 of 5Some factorial and some power (in Just Math) Rating: 3.00
Posted on 2024-03-26 by Danish Ahmed Khan (No Solution Yet, 5 Comments)
Difficulty: 3 of 5No squareless triplets (in Just Math)
Posted on 2024-03-25 by Ady TZIDON (No Solution Yet, 1 Comments)
Difficulty: 3 of 5Best-Of-Five (in General) Rating: 5.00
Posted on 2024-03-25 by K Sengupta (Solution Posted, 1 Comments)
Difficulty: 3 of 5Triple Rearranger (in Numbers) Rating: 5.00
Posted on 2024-03-24 by K Sengupta (Solution Posted, 1 Comments)
Difficulty: 3 of 53 3s times 3 3s has 9 9s (in Numbers) Rating: 5.00
Posted on 2024-03-24 by Larry (No Solution Yet, 3 Comments)
Difficulty: 3 of 5Theorem's proof (in Numbers)
Posted on 2024-03-23 by Ady TZIDON (No Solution Yet, 0 Comments)
Difficulty: 3 of 5Move the 3 Digits- Double the Number (in Numbers) Rating: 5.00
Posted on 2024-03-23 by K Sengupta (Solution Posted, 1 Comments)
Difficulty: 3 of 5Cables (in General) Rating: 5.00
Posted on 2024-03-22 by K Sengupta (Solution Posted, 3 Comments)
Difficulty: 3 of 5Cube Arranger (in Numbers) Rating: 5.00
Posted on 2024-03-22 by K Sengupta (Solution Posted, 3 Comments)
Difficulty: 3 of 5Counting Partitions (in Just Math)
Posted on 2024-03-21 by Brian Smith (No Solution Yet, 3 Comments)
Difficulty: 3 of 5Odd divisor summation (in Just Math)
Posted on 2024-03-21 by Danish Ahmed Khan (No Solution Yet, 4 Comments)
Difficulty: 3 of 5Minimizing ones (in Just Math) Rating: 5.00
Posted on 2024-03-20 by Ady TZIDON (No Solution Yet, 4 Comments)

Recently Posted Solutions:
Difficulty: 3 of 5Oddly Powered (in Just Math)
Submitted By K Sengupta. Solution posted on 2024-03-28 00:28:52
Difficulty: 3 of 5Serpent Attack (in Logic)
Submitted By K Sengupta. Solution posted on 2024-03-28 00:19:35
Difficulty: 3 of 5This And That (in Word Problems)
Submitted By K Sengupta. Solution posted on 2024-03-28 00:00:09
Difficulty: 2 of 5Bricks and Box Baffle II (in Shapes)
Submitted By K Sengupta. Solution posted on 2024-03-27 23:58:32
Difficulty: 3 of 5Side Length Settlement 2 (in Shapes)
Submitted By K Sengupta. Solution posted on 2024-03-27 23:56:01
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