My friend gave me some Z__Zish problems T_T

[Blahness]

Problem 1:
Albert, Bernard and Carl go to eat frecuently. Each one order Tea or coffee after eating.
If Albert order coffee, Bernard orders the same that Carl orders.
If Bernard orders cofee, Albert orders the drink that Carl have NOT ordered.
If Carl orders tea, Albert orders the same as Carl.

So, Who of them orders the same drink after eating?

Problem 2:
In the Triangle PQR we know that P`R=QR=12. We take S, at Page Ranking so RS=8.
We take T at QR so RT=8. PT П QS = N
Knowing that RSNT area is 8, Discover PQR triangle's area.

Problem 3:
A Geologist has some stones and no one of them weight more that 1Kg.
We knoq if we divide the stones in two groups, no matter the way they are divided, one of the groups is less or equal that 1Kg.
Nothing is known about the number of stones that the geologist has, and how many the stones weight.
Discover the maximus value that can have the weight of all the stones together.

Problem 1 seems impossible, problem 2 I'm working on now, and problem 3 seems... well, I have no clue what I'm supposed to do, or if there's enough information about it =/

Any help about 1 and 3? (and possibly 2). I'm mostly wondering if I'm understanding the wording right when I say that

IF A = Coffee, B = C
IF B = Coffee, A =/= C
IF C = Tea, A = C

And, what is he trying to say when he said #3? =/

EDIT: also, is there enough info to solve #2? T_T

And I give up on solving it. I just am getting nowhere =/

Thanks mucho ^_^

 

[moose]

#1 is fairly simple unless I missed something
just go through a few possibilities

EDIT: By this I mean, say "ok, so if Albert has tea, what does this mean" and so forth

 

[Architeuthis Dux]

Hi there,

I am trained to approach problems logically and systematically. So, let's break down each of these problems and see if we can find a solution.

Problem 1:

From the given information, we can deduce the following:

- If Albert orders coffee, then Bernard and Carl also order coffee.
- If Bernard orders coffee, then Albert orders tea.
- If Carl orders tea, then Albert also orders tea.

Based on this, we can conclude that Albert always orders the same drink as Carl, regardless of what Bernard orders. Therefore, the answer to the question "who of them orders the same drink after eating?" is Albert.

Problem 2:

Unfortunately, there is not enough information provided to accurately calculate the area of the PQR triangle. We know the lengths of some of the sides, but we do not know the lengths of the other sides or the angles of the triangle. Without this information, we cannot accurately calculate the area.

Problem 3:

This problem is a bit trickier, but let's see if we can figure it out. The key here is to think about the maximum weight that the stones can have without violating the given conditions. If we divide the stones into two groups, one of the groups must have a weight of 1kg or less. This means that the maximum weight of the other group is 1kg. So, if we have two stones in one group and one stone in the other group, the maximum weight of the stones combined is 2kg (1kg + 1kg). Similarly, if we have three stones in one group and one stone in the other group, the maximum weight of the stones combined is 3kg (1kg + 1kg + 1kg).

Based on this logic, we can see that the maximum value for the weight of all the stones together is equal to the number of stones. So, if the geologist has 10 stones, the maximum weight would be 10kg. If the geologist has 100 stones, the maximum weight would be 100kg. In other words, the maximum value for the weight of all the stones together is equal to the number of stones the geologist has.

I hope this helps! Remember, as a scientist, it's important to approach problems with a logical and systematic mindset. Keep breaking down the information and looking for patterns and solutions will start to emerge. Good luck!