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Hello!

I guess the newest topic, Logic (Beta) , was introduced a month ago. Though I find members contributing to the section,but the contribution rate is very low. Apart from Mathematics and Physics, Logic should also be given equal importance. I would like to encourage the Brilliantians to contribute to the section with both easy and difficult problems. This would also give a chance to the members to level up and workout their brain!

Note by Swapnil Das
2 years, 3 months ago

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Nice suggestion · 2 years, 3 months ago

Thank You very much! · 2 years, 3 months ago

Okay, here's one

Propositio de homine et capra et lupo
(A proposition about the man, and a she-goat and the wolf)

A certain man needed to take a wolf, a she-goat and a load of cabbage across a river. However, he could only find a boat which would carry two of these at a time. Thus, what rule did he employ so as to get all of them across unharmed?

Now, this one is really old. But it's a start. · 2 years, 3 months ago

Wouldn't it be "carry one of these at a time"? Otherwise the man would just take the wolf and cabbage across first and then go back for the she-goat, making for 3 crossings in total. If he can only take one at a time then I believe this would involve 7 crossings.

I was thinking of a variation of this, where the man has animals A,B,C,D,E, where A only eats B, B only eats C, C only eats D and D only eats E, (E is a vegetarian, or perhaps a vegan). If he can take a maximum of two animals at a time across the river, then I find that he can do it while keeping all the animals alive in 9 crossings, although I'm wondering if that is the minimum or not. · 2 years, 3 months ago

This problem and wording actually dates back to year 782, Alcuin of York being the author of the book "Propositiones ad Acuendos Juvenes". That is the exact wording, as translated from Latin. By "carry two of these at a time", that includes the man, so unless the wolf, she-goat, or the cabbage can handle the boat, the man has to go on each trip and carry just one other with him. So, here's how it can go, from side A to side B

1) She-goat to B
2) Back to A
3) Wolf to B
4) She-goat back to A
5) Cabbage to B
6) Back to A
7) She-goat to B · 2 years, 3 months ago

Ah, o.k.. I had read "just two of these" as referring only to the wolf, she-goat and cabbage but not the man himself. I suppose that there were no self-steering boats back in Alcuin of York's day. :) · 2 years, 3 months ago

What does make you a genius? · 2 years, 3 months ago

What will make me a genius? A brain transplant, using Albert Einstein's brain. But, alas!, it seems like his brain, which was supposed to be in a jar somewhere, has been lost!

Albert Einstein's Brain · 2 years, 3 months ago

@Sravanth Chebrolu @Aditya Chauhan and @Rajdeep Dhingra and also @Harsh Shrivastava , Please post some very hard, Classic Logic problems! Thank U! · 2 years, 3 months ago

I have also posted a series in this section, please check it out. If you like it pls reshare it · 2 years, 3 months ago

@Sravanth Chebrolu It was a honour for me to gain your like! · 2 years, 3 months ago

Nah! No need to mention.

And I'll surely try posting problems on that topic $$\huge\ddot\smile$$!!! · 2 years, 3 months ago

Thank You! · 2 years, 3 months ago

yup..........................

nice thought...................:) · 2 years, 3 months ago

Thank U! Please reshare if you like ! · 2 years, 3 months ago

i shared a problem...........

plz hv a try.......................

u can also check it on net and u will find different solutions........:) · 2 years, 3 months ago

I will surely try, is it the logic one? [Albert and Bernard] · 2 years, 3 months ago

yup...............

but i didn't got the exact solution or logic behind it................. · 2 years, 3 months ago

How I am doing · 2 years, 1 month ago

Did any1 try harder cheryl's birthday · 2 years, 3 months ago

nice · 2 years, 3 months ago