- 2,980
- 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.]
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.]