34

The answer is


32

The message reads: How to decode:


32

The first letters say The letters which have been changed from the original words spell: Now, from Wikipedia, if we look at the note and use the letters, we get So, we look at the letters that we find before the h in the text, and we get: So I suggest that you must:


20

Let's look at which letters have been changed: You know, I figured out what to buy [] ou for Christmas. I'll tell you on Christmas Ive. You are smart! I am sure you will figure it aut. Stop being such a drama queen. Or should a say drama quing? See what I did? See? Shall we go to the bub instead? The pub. Sorry, slip of the fimgers. Nope. I ...


19

The two kids are because Professor Charles' example is Edit (according to comment) The usage of


18

The answer is yes, this is possible. Fix $t = 100$. A big key is found in this excellent puzzle:


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**zzle = Spout *u**le = Group *u**le = Make money ****le = A person who will love with her whole heart. p****e = A beautiful city in Central Europe p****e = A balerina loves to do this p****e = Slim and beautiful girl p****e = An epidemic disease p***le = Word of honor given or pledged The message: Thank you!


17

To divide the cake into n equal pieces, Proof: Here is a drawing to illustrate how it works:


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Answer: A man and a woman and a pot of tea: "Look at the one on the left. If it's a woman, she might be sitting on a remade table" "or perhaps she's stirring her drink with a fork" "If it's a man, he's much taller than his wife; he tops her by a head, "although he might seem to be like a small burrowing rodent." "Now the one on the right. If it's a ...


15

I would suspect that it's due to the angle of the sun in the different seasons. The car is probably in the shade during the summer, but in winter, when the sun is at a lower angle in the sky, it shines directly into the car, heating it up.


15

The patterns on the eggs are


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The first one seems to be: The second one is And the last one is


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The common theme is Group 1 Group 2 Group 3 Group 4 The title said “I would look so cool in that hat”


15

My answer is Explanation:


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Thanks to Dr Xorile for seeing the final solution from my first attempt and GentlePurpleRain for the last fix in formatting: My first's where you are when you aren't trick-or-treating My next is the start of what kids will be eating My third, when gigantic, might test your comport My fourth starts the season where goblins cavort My fifth is a note sung ...


14

This is a How it works: The solution to this is


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X-MAS Words are the ones -> Examples - > Not X-Mas Word's Extra X-Mas Word's are the ones -> Examples These are called X-MAS because -


14

Prologue I will start by explaining what each rule means 0) Bottom. Left. 1) By twos. (Then by fives.) 2) Case matters: upper case is upper; lower case is lower. 3) Connect the dots. Explanation below 4) Have fun! $\color{red}{\textbf{From here on out, no more spoilers except for the final image.}\\ \textbf{Proceed at your own risk.}}$ Okay, Will, ...


14

They all are 6 gigabytes 35 hours 50 hours 1 millimeter 3 imperial gallons


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Answer:


13

Based entirely on @Alex's answer, this could be


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1st: 2nd: 3rd: 4th: 5th: 6th: 7th and 8th: 9th: 10th: Whole:


12

The text is While all clock hands are exactly 1 long the second-hand is independent from others. It likes to tan under high degrees on the floor. Between the hour- & minute-hand is an angel A Sane Clock Isn't Interesting To find degrees I used $hourDegrees = hour \times 5 \times 6$ and minutes and seconds use the same for $degrees = value \times 6$ ...


12

Partial: 1st line: 2nd line: 3rd line: 4th line 5th line So:


11

By brute-force search, yes. I started by searching over all tuples $(r,s,t)$ less than $1000$, stopping at the first example I found: $$\left(138 + \sqrt{320}\right)^{570} \approx 10^{1249.9041}$$ In order to find the smallest example, I used the following strategy to search all examples smaller than the previous best (which I'll call $x$). Since the ...


11

The sentence is: Counts by color:


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The missing door is - > Explanation - Hence - Which gives - Next... More findings - So, So The Door!


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Finishing off @RottersSlave's work, the colours spell: if we let: So we get:


11

I believe the answer is: It is hidden in the poem:


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Focusing on the numbers of the lines on the front side of the papers, I suppose we should see this: Putting the letters in a line we get: Rearranging them to solve the anagram we get the answer: Presuming that all the numbers given must have some use, so this must be the second meaning of the numbers involved.


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