Random Puzzles 

Workings

Hint
In each word, exactly one letter is wrong.

Answer
I like bees. When I see a bee, it makes me think of the honey that they make. Honey makes my toast nice.

Workings

Hint
How many hands did the first person shake?

Answer
190.

The first person shook hands with 19 others, the second had already shook hands with the first and therefore shook 18 hands, etc: 19+18+17+16+15+14+13+12+11+10+9+8+7+6+5+4+3+2+1 = 190.

Workings

Hint
Can you see 1, 2, 3, …?

Answer
46.

Reasoning
Take the numbers in pairs, square the first, and reverse the digits.
1  1   (1 x 1 = 1,  reversed is 1)
2  4   (2 x 2 = 4,  reversed is 4)
3  9   (3 x 3 = 9,  reversed is 9)
4  61  (4 x 4 = 16, reversed is 61)
5  52  (5 x 5 = 25, reversed is 52)
6  63  (6 x 6 = 36, reversed is 63)
7  94  (7 x 7 = 49, reversed is 94)
   so we require:
8  46  (8 x 8 = 64, reversed is 46)

Workings

Hint
Look to the skies.

Answer
NE.

From Neptune. The first two letters from the planets in sequence: MErcury, VEnus, EArth, MArs, JUpiter, SAturn, URanus, NEptune.