Logic Puzzles V2 (Now with 50% more math!)

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ChristmasChild

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Dec 4, 2008
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I gives ya the puzzle, ya solves the puzzle, I gives ya a new puzzle, Kapish?
Also, keep it bumped so it doesn't disappear.

1.You are given two light switches. One turns the light on in a room completely blocked by a door, the other does nothing. You are allowed to enter the room, but only when both switches are off. The switches correspond with two doors, one on the left leads out of the chamber, the right leads to a second chamber. How can you guarantee that you will guess the correct door?

2.Two inhabitants are known to be an Amtru, who only speaks the truth in the morning, and a Pemtru, who only peaks the truth in the afternoon. One says "It is morning". The other says "He is the Pemtru!" Is it morning or afternoon?

3.(To mix it up, here's a math puzzle)The writer of the Logic Puzzles decided, as a New Year's resolution, to make the Logic Puzzles a little more challenging, because it seemed like everyone was complaining abut how easy the puzzles were.
His second New Year's resolution was to learn a new hobby. The hobby he chose was structural engineering. So he enrolled in the Devry Institute of Technology and Engineering. While studying there, he observed a new building being constructed.
There was a steel beam 50 feet long. The entire construction crew (total weight: 6000 pounds) was standing at the center of the beam. Assume the modulus of elasticity is 29,000,000 pounds per square inch, the moment of inertia is 850 inches^4, the beam has simple pin connections at either end, and all loads other than the weight of the crew are disregarded.

How much will the beam deflect? Please round to the nearest tenth of an inch.

Question Four:
2 + 2 = 4
4 + 4 = 8
142 + 468 = 621
3762 + 8271 = ?

(First to solve question four gets a cookie)

5. Assume the Earth is a spherical planet with a diameter of 1600 km with a uniform density of 5200 kilograms per cubic metre.

If the Space Station is in a circular orbit 630 km above the surface of Earth, what is its orbital velocity in metres per second?

6.Two numbers (not necessarily different) are chosen from the range of
positive integers greater than 1 and not greater than 20. Only the
sum of the two numbers is given to mathematician S. Only the product
of the two is given to mathematician P.

On the telephone S says to P, "I see no way you can determine my sum."
An hour later P calls him back to say, "I know your sum."
Later S calls P again to report, "Now I know your product."
What are the two numbers?
 

Jobz

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May 5, 2008
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Turn one switch on and wait for a few minutes, then switch it off and go inside and touch each bulb. If one is warm then you know you flicked the switch that turned the bulb on, and that's the correct door. If neither is warm you know you flicked the switch that did nothing, so go back out and flick the other switch, then wait a few minutes, turn it off and go back in. Whichever one is now warm is the correct door.

EDIT: I damn near shat my pants after reading that third one O.O
 

ChristmasChild

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Dec 4, 2008
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Come one people, these things won't solve themselves you know! Unless the big, bad puzzles aw toow hawd fow your widdle minds!
 

Jobz

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May 5, 2008
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Unfortunately this has turned from logic puzzles (In the first two cases) into some kind of advanced math/physics problems. Or so it seems to me. Being as shitty at math and physics as I am, I am unable to answer them.
 

Anarchemitis

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Dec 23, 2007
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ChristmasChild said:
5. Assume the Earth is a spherical planet with a diameter of 1600 km with a uniform density of 5200 kilograms per cubic metre.

If the Space Station is in a circular orbit 630 km above the surface of Earth, what is its orbital velocity in metres per second?
Acceleration please.
 

catalyst8

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Oct 29, 2008
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2.Two inhabitants are known...

A Pemtru can never say that it's morning, since in the afternoon it would be honest and say "It's the afternoon", and in the morning it would lie and say "It's the afternoon". The Pemtru is lying when it accuses the Amtru of being a Pemtru, so it's morning.

Nice riddle.
 

catalyst8

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Oct 29, 2008
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Edit:
Just noticed someone solved 2.

5.

Possibly 721 m/s. This is a version of kepler's T squared varies as r cubed.
 

Cadren

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Dec 14, 2008
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Answer to question six: 4 and 7.

The logic is hard to write and I spent a long time writing it and out working on it, but I am pretty sure this is the answer.
 

Sporky111

Digital Wizard
Dec 17, 2008
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You are trapped in a room with a verticle deadbolt, you can escape easily between guard shifts, but they will notice if the door is unlocked and come after. You have a sink, fridge and freezer ( with ice tray, metal racks, and plastic drawers, but no food) bed and toilet. How do you escape without the guards knowing.