Logical thinking problems.

gokartman78

Mika
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Brankston
gokartman
I have always loved these questions. So I decided to see how many others did as well.

So what I suggest, is that someone posts a new Logical thinking problem every 2/3 days. We shall see how it goes, then depending on that, I may expand it further, by creating tally's and a points system.

Please don't look for the answers online. If you find the answers and post them here, you cheat yourself and ruin the problem for the other people. If you get stuck I may put a hint or two up if one problem keeps re-occuring.

Righty ho, enough of the rules.



Week #1. Maths based problem. (this does require a bit of paper, and you may need to know your rules of ratio's/average's and squaring/cubing).


Freight transport on Titan is mostly by ship, with three types of ship called pangs, quizzers, and roodles in common use. All three ships have the same shape and design but differ in size. The cargo capacity depends on the hold volume, while the number of crew required is proportional to the surface area of the deck. A quizzer and a roodle taken together have the same length as
two pangs, and the crew of a quizzer is just sufficient to provide crew for two pangs and a roodle.
A fully loaded quizzer wishes to transfer all its cargo to smaller pangs and roodles, while minimising the number of crew required for the resultant fleet.

How many pangs and roodles are needed?

[Hint: Note that for objects of any shape the surface area is proportional to the square of the object’s size, and the volume is proportional to the cube of its size.]
 
Wow, this is quite a problem! If I get the answer, do I post it?

eermm, thats one problem I have just realised....how about we leave it a day till an answer is posted? then everyone gets a chance to see the problem without it being spoiled :P. I'll come up with another way during the day :)
 
gokartman78
All three ships have the same shape and design but differ in size.

Just to clarify, does this mean that the dimensions of ship types A, B, and C are proportional to each other? So each of these ships are exactly the same, just proportionally scaled up or down from one another?
 
Logically, I think I'm not smart enough to participate which is a problem and questions my ability to find an answer. :guilty:
 
How many pangs and roodles are needed?

I'd avoid the issue altogether and go for a snoot. That way all the items can be transferred onto one ship.

/Shem logic. :D

My question: Tom and Jerry are digging holes in a road to plant trees and it takes an hour to did each hole. In a day they dig 8 holes and plant 8 trees. On Wednesday their supervisor asks them to speed it up so Tom and Jerry decide to dig half a hole for each tree and then plant.

How many trees can they plant on that Wednesday?
 
Spoiler tags maybe??

Did you miss the part where we wont post answers for a few days?
 
Oh, genuinely sorry. I hope I didn't spoil it for everyone. :guilty:

Wait, no, re-read it. He meant finding answers on the internet and posting them here. I was in my rights to post it, but I'll just leave it out for a few days.

Edit: Re-inserted as a spoiler. Happy-Medium. :P
 
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I think it's fair to post the answer once discovered but perhaps use a link to the pic/ solution rather than embedding it in the page in case others want to try.
 
Oh, genuinely sorry. I hope I didn't spoil it for everyone. :guilty:

Wait, no, re-read it. He meant finding answers on the internet and posting them here. I was in my rights to post it, but I'll just leave it out for a few days.

Edit: Re-inserted as a spoiler. Happy-Medium. :P

Awesome 👍

I didn't mean to be nasty and say you can't post it, just this way a few can take part without spoiling it for others.

Sorry.
 
Just to clarify, does this mean that the dimensions of ship types A, B, and C are proportional to each other? So each of these ships are exactly the same, just proportionally scaled up or down from one another?

Yes. There is a ratio between the sizes of the 3 ships :).

keyword is ratio :P
 
Q: If it takes 8 men 10 hours to build a wall, how long will it take 4 men to build it?

A: No time at all, the wall is already built.
 
Q: If it takes 8 men 10 hours to build a wall, how long will it take 4 men to build it?

A: No time at all, the wall is already built.

haha, okay, we can have a joke question of the week as well :lol:
 

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