
Post by Andrew on Dec 7, 2012 21:21:36 GMT
101 x 5 = 505 = SOS, so apparently the roommate is in some sort of trouble.


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Post by MegaMarbler on Dec 7, 2012 23:09:42 GMT
101 x 5 = 505 (SOS)
EDIT: didn't realize there was another page. _



Post by J@ckrb on Dec 8, 2012 12:35:42 GMT
Correct! The note reads SOS. What kind of trouble could he be in though?
Scores: Andrew: 7 (+1) Don.Gato: 6 MegaMarbler: 1
Puzzle 8  What Day Is It? 1  Easy
If yesterday's day after tomorrow is Sunday, what day is tomorrow's day before yesterday?



Post by Don.Gato on Dec 8, 2012 15:47:25 GMT
Friday



Post by J@ckrb on Dec 8, 2012 17:46:30 GMT
Correct!
Scores: Andrew: 7 Don.Gato: 7 (+1) MegaMarbler: 1
Puzzle 9  Mathematchsticks  Medium
A maths equation is written using matchsticks. It reads:
I + XI = X, or 1 + 11 = 10
But that's not right, is it? To make this into a mathematically correct equation, what's the fewest number of matchsticks do you need to move?



Post by Don.Gato on Dec 8, 2012 18:20:09 GMT
1
111 = 10
or
I  XI = X



Post by Andrew on Dec 8, 2012 21:54:56 GMT
You could also do I + X = XI or 1 + 10 = 11



Post by Don.Gato on Dec 8, 2012 22:34:36 GMT
well yeah, that's probably what he had in mind but..... mine is cleverer. And besides this hypothetical matchstick equation would look better if the creator had broken a matchstick in half to make the +, thus making my solution only require the movement of 1/2 a matchstick .



Post by J@ckrb on Dec 9, 2012 13:00:28 GMT
Hint: Try to look at the equation at different angles... literally.



Post by Andrew on Dec 9, 2012 17:07:19 GMT
Oh, duh. If you turn it upside down you get X = IX + I, or 10 = 9 + 1. So the fewest matchsticks you can move is 0.



Post by J@ckrb on Dec 9, 2012 17:19:36 GMT
Correct! The question is worded to seems like you need to move a matchstick, but you don't need to.
Scores: Andrew: 9 (+2) Don.Gato: 7 MegaMarbler: 1
Puzzle 10  Train Station Conundrum  Hard
It takes 15 minutes to travel from Station A to Station B. A > B 15 minutes It takes 5 minutes to travel from Station B to Station C. B > C 5 minutes It takes 10 minutes to travel from Station C to Station D. C > D 10 minutes However, it doesn't take 30 minutes for a train to travel from Station A to D. How long would it take, using the information above, and that the railway is a straight line with no branches, for a train to travel from Station A to D?



Post by J@ckrb on Dec 10, 2012 16:22:48 GMT
24hr Hint
This is impossible, right?
Well it isn't, you just have to be flexible with your thinking.


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Post by MegaMarbler on Dec 10, 2012 16:53:01 GMT
The train has to slow down when going from A > B and B > C and from C > D, but going from A > D you don't have to slow down, saving at least a minute (?)



Post by Don.Gato on Dec 10, 2012 17:37:24 GMT
Hmm I think I see whats going on here. The stations are not labeled in order.
Of course there are still 2 possible answers,
I will guess 10 minutes.
(but 20 is also a possibility)



Post by J@ckrb on Dec 11, 2012 16:34:07 GMT
Don.Gato is on the right track (but 10mins is not the right answer)
Unnecessary hint: A is the first station and D is the last, but is B after A? In the alphabet, it is, but Station B does not have to be after A. Flexibility.


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Post by MegaMarbler on Dec 11, 2012 16:52:51 GMT
15 minutes.
A > C = 5 minutes C > D = 10 minutes



Post by Don.Gato on Dec 11, 2012 17:40:40 GMT
No that can't be it, because then stations B and D would be in the same place. EDIT: on further reflection your answer doesn't work on many levels including the one above.
I have to stick to my guns here and make my next guess 20


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Post by MegaMarbler on Dec 11, 2012 18:48:20 GMT
25?



Post by J@ckrb on Dec 12, 2012 7:55:07 GMT
Don.Gato is correct.
A  C  B  D is the station order.
It takes 15 mins to go from A to B.
It takes 10 mins to go from C to D.
B to D, the last part, is 10 mins (time taken from B to D)  5 mins (time taken from C to B).
Therefore, A  C is 10 mins, C  B is 5 mins and B  D is 5 mins.
10 + 5 + 5 = 20 mins.
Scores: Don.Gato: 10 (+3) Andrew: 9 MegaMarbler: 1
Puzzle 11  What Day Is It? 2  Easy
If seven days after 70 days ago is Sunday, seven days before 70 days ago is what day of the week?



Post by Andrew on Dec 12, 2012 16:27:14 GMT
Sunday



Post by Don.Gato on Dec 12, 2012 17:19:44 GMT
And my first guess of 10 worked out perfectly too....
stations in the order adbc 15 minutes to b + 5 to c  10 to d = 10



Post by J@ckrb on Dec 15, 2012 16:19:39 GMT
Andrew is correct! If the number of days are divisible by 7, it will always be the same day.
(NB: I screwed up a bit on the last puzzle, Don.Gato. I should of included that station A was the first stop and that D was the last stop, making 20 minutes the only correct answer)
Scores: Don.Gato: 10 Andrew: 10 (+1) MegaMarbler: 1
Puzzle 12  A Stacked Deck  Medium
There are 52 cards  26 red and 26 black, and no jokers  in this deck involved in the puzzle.
After shuffling the deck and splitting it randomly in two, you count 23 cards in the left stack.
So, what is the difference between the number of red cards in the left stack and black cards in the right stack?



Post by Andrew on Dec 16, 2012 20:35:01 GMT
3


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Post by MegaMarbler on Dec 17, 2012 16:53:27 GMT
Seems more like simple math than a riddle



Post by Don.Gato on Dec 17, 2012 23:36:04 GMT
Meh unless I am missing something, this riddle is impossible. It could be said what the difference is LIKELY to be, but that isn't the question. Of course the obvious answer to that would appear to be 3, but since we are dealing with probability now it must be pointed out that despite the distribution of colored cards being 5050, the probability of the color distribution staying the same when the randomly ordered deck is split randomly in two is quite low.
Definitely NOT simple math.


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Post by MegaMarbler on Dec 18, 2012 1:07:07 GMT
I was referring to Andrews answer



Post by Don.Gato on Dec 18, 2012 19:46:40 GMT
I just figured it out. 3 is after all the correct answer. I was mistakenly assuming that the actual numbers of red/black cards would effect the answer.
The number of red cards in the left pile, and the number of black cards in the right pile can be determined in the following equation. Basically, the total number of red cards (26) minus the number of red cards in the left pile (x) tells you how many red cards are in the right pile. By subtracting that number from the total number of cards in that pile (29) you determine the number of black cards in the right pile.
29  (26  x) = y
Now we could try it for every possible value of x, there's only 24 possibilities anyway. Or we could use more math and simplify the equation. (excuse the inefficient and generally crappy way I did this, I haven't done anything like this in years. I was improvising)
29  (26  x) = y
29 = y + (26  x)
 y + 29 = 26  x
 y =  3  x
y = x + 3
.... and we get this: y  x = 3
which proves that the difference between black cards in the right pile (y) and red cards in the left pile (x) is = to 3.
In other words I greatly overcomplicated matters, and Andrew was right.



Post by Don.Gato on Dec 31, 2012 18:39:02 GMT
bump. Where are you j@ck?



Post by Oaky on Feb 4, 2013 3:51:25 GMT
These are some great riddles (slash algebra ). Double bump!

