048 - Answer:
You need to swap the two pairs of tiles shown in order to connect all of the magic lines.
049 - Answer:
There a couple of places you can start with this one.
050 - Answer:
This is a simple process of elimination. Just don't get confused into heading back towards the centre of the web!
051 - Answer:
It is a matter of changing your perspective. As you can see, removing matches from the top and the bottom edges reveals the letter H, and a 90° rotation reveals the letter I, and vice versa.
There is also a way of removing two matches to get three letters.
052 - Answer:
The loaf of bread weighs the same as 5 apples, whilst the jar of jam weighs the same as 3 apples. Once you have those numbers, the answer should be simple.
053 - Answer:
This is an example of a Picross puzzle. What impressed Pinkie Pie was the shape it formed, that of a balloon!
(Thanks to Venn and blastdragon for the edit on this one).
054 - Answer:
Twilight Sparkle Magic
Rainbow Dash Loyalty
Applejack Honesty
Fluttershy Kindness
Pinkie Pie Laughter
Rarity Generosity
This would have been fairly straightforward, had it not been for the fact that Twilight had to be on the front button. The word MAGIC has fewer letters than any of the other Element names. Surely if a main vowel was valued 2 to the consonant's 1, Twilight would be at the back, right?
Wrong.
This is were you change your way of thinking. Vowels have twice the value of consonants, but nopony said those values had to be positive amounts. If you give vowels a value of -2 and consonants a value of -1, then Twilight will end up at the front with a value of -7. Rarity's Generosity would doubtlessly land her at the back with a value of -15. Fluttershy are fairly easy to place as well, with values of -10 and -11 respectively.
However, Rainbow Dash and Applejack both have Elements with a value of -9 each. For this, we refer to Discord's second rule, that nopony of the same type can be next to each other in the queue. As Fluttershy's fourth place is solidified, the third place slot can't be occupied by Rainbow Dash as they are both pegasi. So she goes second in the queue whilst Applejack take the third place.