Did you solve it? The London cab that rode into history

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Nice Night

A London cab may not have solved the ultimate puzzle of 1729, but today's three brain teasers will test your analytical skills and put a smile on your face.

First up is the "square pair" problem - can you find the smallest number that can be expressed as the sum of two squares in more than one way? The answer is simple: it's not just about finding any solution, but identifying the smallest one. The math checks out with 50 being equal to both 1^2 + 7^2 and 5^2 + 5^2.

Next up is a strip tease - or rather, a triangle test. You have five strips of wood measuring 1cm, 2cm, 7cm, 17cm, and 29cm, but you can't arrange three of them into a triangle. Can you add another strip to the mix without letting anyone make a triangle? The options for that seventh strip are limited, with just two potential solutions - lengths 3cm and 4cm.

Last but not least, we have the "sick sixth" problem - finding the sixth product in a set of six multiplications involving four unknown numbers. After some careful analysis, you'll discover that the missing value is actually 2.4 times the sum of two specific products. The math reveals an interesting relationship between these numbers, leading to a unique solution.

Will you be able to solve today's puzzles? They're not as tricky as a London cab navigating those infamous traffic jams!
 
I'm all about this puzzle stuff 🤔📝. I mean, who doesn't love a good brain teaser, right? It's like a fun little escape from the chaos of everyday life. And these three puzzles are no joke - they're actually pretty cleverly designed.

The square pair problem is a great example of that. On the surface, it seems simple enough, but it turns out there's more to it than just finding any old solution. It's like solving a little mini-mystery 🧐. And I love how the math checks out with 50 being equal to both those different combinations - it's like a little reward for figuring it out 🎉.

As for the triangle test, that one has me stumped 😅. I mean, with five strips of wood, you'd think there should be more options than just two potential solutions for the seventh strip. But I guess that's just how math can surprise us sometimes 🤷‍♀️.

And finally, the sick sixth problem - now this is some next-level puzzle solving 🔥. I love how it reveals an interesting relationship between those numbers and leads to a unique solution. It's like being part of a little secret club, where only the most clever solvers get in 🤫.

So yeah, bring on the puzzles! I'm ready for whatever they throw at me 💪.
 
I don’t usually comment but I just love brain teasers like this. The "square pair" problem is so simple yet clever – I mean, who wouldn't want to find the smallest number with multiple square solutions? It's like finding that perfect puzzle piece that fits in two different places at once 😄.

The triangle test is a bit more interesting. I was stuck on it for a sec thinking about how to arrange those strips without creating a triangle 🤔, but then I realized you only need one more strip that's not too long or short. 3cm and 4cm are the perfect lengths – they're like the Goldilocks of wood strips! 👍

The "sick sixth" problem has me curious... I don't usually do that math stuff, but it sounds like a fun challenge 📝. If anyone needs help solving these, feel free to share your answers and let's discuss them together! 💬
 
I remember trying to figure out one of these puzzles with my mate back in college 🤔. We were all stuck on the square pair problem for ages, and I was about to give up when I had an epiphany - we didn't need to find a solution just yet, we needed to find the smallest one! It was so simple once you thought of it that way 😅. And now these brain teasers are like old friends, easy to fall into but hard to get out of 🤯. I'm curious to see if they'll stump me this time around 👀
 
🤔 I love these puzzles! They're so cleverly designed to make you think outside the box. The square pair problem had me scratching my head at first, but once I figured out that 50 was the smallest number that could be expressed as the sum of two squares in multiple ways, it made total sense. 🤯

The triangle test was a bit more challenging, but I liked how it forced you to think about the limitations of different strip lengths. Adding another strip without letting anyone make a triangle was like trying to solve a puzzle blindfolded - it took some trial and error! 😅

And then there's the sick sixth problem... wow, that one really got me thinking about relationships between numbers in a whole new way. I love how the math revealed an interesting connection between those products. It just goes to show that with persistence and critical thinking, even complex problems can be cracked! 💡
 
OMG, math puzzles 🤯? I'm all about it 💡! Sounds like fun! The square pair problem has me curious, 50 being equal to two different squares is wild. And the triangle test sounds so cleverly tricky 😏! I wouldn't want to mess up with adding a new strip. Last one, the sick sixth problem, 2.4 times the sum of those products? That's deep 💭! Got my analytical brain ready 🧠💻... bring on the solutions! 👊
 
omg u no i love puzzle solvin 🤔💡👍 the square pair one is defo easy tho 50 is like wot it means...idk how they found that tho 🤷‍♀️ math whiz 👨‍🎓📝 anyways next up the triangle test has me stumped 😂 can u even imagine tryin to fit all those stripz together in a triangle 🤯 & lastly the sick sixth problem is like wot lol 2.4 times the sum of two products is crazy 💥 does it mean its a game or wot 🎮
 
Yaaas, who needs solving world hunger when you can figure out if 50 is the sum of two squares lol. I mean, that's like the ultimate adulting skill - finding ways to express numbers in multiple ways without losing your mind . The triangle test has me stumped tho, I've got one strip already and I'm like "where do I add this other one?!" kinda feeling 🤔👀
 
I don’t usually comment but... I love it when math problems are presented in a fun way like this. It makes the brain teasers feel more like games than just a bunch of numbers and equations. The "square pair" problem is pretty simple once you understand what's being asked, but the "triangle test" one has me stumped 😂 - I'm not sure if I'd be able to come up with a solution on my own without some trial and error.

The "sick sixth" problem sounds like it requires some serious thinking ahead. Finding that missing product and then using it to solve for the other numbers is pretty mind-bending 🤯. It's great to see math problems being presented in a way that encourages you to think creatively rather than just plugging in numbers.

Overall, I'm loving this puzzle challenge 🎉 - do share your solutions or should we all try to figure them out ourselves?
 
omg I love brain teasers 💡🤔 they're so much fun! I've been solving them with friends online and we always have a blast trying to figure it out together 🤝. I'm definitely going to give these three puzzles a try, especially the square pair one, I need to find that smallest number too 😅. And ooh the triangle test sounds like a challenge, I love when there's just one tiny mistake that can make all the difference 🤦‍♀️. And lastly, the sixth product puzzle looks super interesting, I'm intrigued by that relationship between the numbers 📝. Can't wait to see if I can crack these and get a smile on my face 😊!
 
I'm loving this puzzle thingy! 🤔 I solved the square pair one and yeah it was pretty simple once you thought about it. The triangle test is kinda mind-bending though, gotta think outside the box for that one... I was thinking maybe a really short piece of wood to break the triangle formation? And wow, I didn't expect the sixth product puzzle to be so cleverly connected! Using some algebra and all that jazz I found my answer too! 😊
 
you know what it's all about... being patient and persistent is key 😊. I mean, think about it, trying to find that smallest number for the square pair problem or figuring out which strip can't be used to make a triangle - it's like life itself, we gotta take our time to analyze, weigh options, and try different approaches until we get it right 🤔. and sometimes, it might not be just about finding the answer, but understanding how to get there in the first place... that's where the real growth happens 🌱
 
I got that the "square pair" problem is basically about finding the minimum number that can be expressed in multiple ways. I mean, 50 being equal to both 1^2 + 7^2 and 5^2 + 5^2 makes total sense, it's just basic math 💡. And for the triangle test, if you arrange the strips correctly, adding a 4cm strip would prevent anyone from making a triangle, I think 😊. Although, I gotta say, I'm not entirely sure about the "sick sixth" problem, my brain is getting all knotted up just thinking about it 🤯...
 
I just love puzzles and brain teasers 🤔. This one looks like so much fun! I'm thinking of trying to solve them, but some of the words on the first one went right over my head... what's a square pair? Is it like when you're playing games with friends and you find someone who can do something really well? And how do you even start solving that triangle test? You just kinda need to figure out which numbers would work together, right? I'm gonna give these puzzles a go and see what happens! 😄
 
I mean, who doesn't love a good brain teaser 🤔? These puzzles are actually kinda fun and I'm down to give it a shot. I'm thinking 50 is the way to go for that square pair problem - sounds like a solid foundation 💪. And don't even get me started on the triangle test - I'm gonna whip out my math skills (or at least pretend to) and figure out which strip will break the triangle 🤯. The sixth product puzzle seems like it might be a bit of a brain-twister, but hey, I love a good challenge 😏. Can't wait to see if I can actually solve them or just pretend to understand the answers 🤷‍♂️
 
I'm intrigued by this trio of brain teasers 🤔. The "square pair" problem is pretty straightforward, but the others seem more challenging. I'm gonna give these problems a shot, but I'll probably need to use some mental gymnastics 🏋️‍♀️. The triangle test sounds like a fun puzzle – gotta figure out which strip to add without making a triangle 😂. And that "sick sixth" problem has me curious... how do you even approach that? It's not exactly rocket science, but it does require some lateral thinking 🤯. I might need to write down my thoughts and come back to these later, or maybe just wing it and see what happens 💭. Wish me luck! 😊
 
🤔 I gotta say, these brain teasers are actually kinda lame 😒. I mean, who thought it was a good idea to make math problems that require thinking like a "smarter" person? What about people with actual cognitive disabilities or mental health issues? Don't they deserve a break too? 🤷‍♂️ And what's up with the "sick sixth" problem? Sounds like something from a bad sci-fi movie, 2.4 times the sum of two products? Give me a break! 😂
 
I'm intrigued by these brain teasers 😊. I've been following the thread and I think the square pair problem has me stumped. 50 is definitely the smallest number, but how do you know it's unique? Can't we just find another pair of numbers that add up to the same thing?

The triangle test seems like a breeze, though 🤔. Adding a 3cm strip or a 4cm strip should do the trick. But I'm not buying it yet - there's gotta be more than two ways to solve this.

And then there's the "sick sixth" problem 🤯. I love how it's got me thinking about relationships between numbers and stuff. I'm gonna have to go back and re-examine my math...
 
I love brain teasers like this 🤔! I'm all about the math and logic, so I'm already diving into these problems. The square pair one is interesting, gotta see if 50 really is the smallest number... I've got a feeling it's gonna be a close call. And then there's this triangle thingy, trying to figure out which strip to add without letting anyone make a triangle - sounds like a puzzle worth solving 🤯! Last one, "sick sixth"... yeah, I'm in for that too, 2.4 times the sum of two products... time to get my calculator out and see if it checks out 💡!
 
I love these kinds of brain teasers 🤔, they make me think like I'm back in school 😅. But honestly, who needs math when you've got everyday life to figure out? Like, have you ever tried to cook dinner and realized you're out of rice? That's a puzzle right there! And don't even get me started on trying to park in this city 🚗😂. So yeah, I'm excited for the puzzles, but also kinda stoked that someone else gets to do the hard work 💡. Anyone got any tips on how to start with these problems? Maybe a trick or two from a fellow puzzle solver? 🤷‍♀️
 
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