Easy Puzzles 

Workings

Hint
Alex's drone finished second, so where did the red drone finish?

Answer
Pos  Owner   #      Colour
1    Adrian  #3     red
2    Alex    #2     green
3    Andy    #4     blue
4    Avery   #1     yellow

Reasoning
The four colours were: Blue, Green, Red, Yellow.
The four contestants were: Adrian, Alex, Andy, Avery.

By (4), second place was Green, and owned by Alex.
   1
   2    Alex           green
   3
   4

By (5), Red beat third place, and since Green was second, Red must have been first (and had race number #3).
   1            #3     red
   2    Alex           green
   3
   4

By (2), Adrian's drone was Red or Green, but we now know that Alex's drone was Green, so Adrian's drone was Red.
   1    Adrian  #3     red
   2    Alex           green
   3
   4

By (3), Andy beat Avery, so they were third and fourth respectively.
   1    Adrian  #3     red
   2    Alex           green
   3    Andy
   4    Avery

By (6), Avery's drone had race number #1.
   1    Adrian  #3     red
   2    Alex           green
   3    Andy
   4    Avery   #1

By (1), second place must have had race number #2 (as first place had race number #3, and fourth place had race number #1).
   1    Adrian  #3     red
   2    Alex    #2     green
   3    Andy
   4    Avery   #1

Which leaves third place with race number #4, and by (4) was Blue.
   1    Adrian  #3     red
   2    Alex    #2     green
   3    Andy    #4     blue
   4    Avery   #1

Which leaves fourth place as Yellow.
   1    Adrian  #3     red
   2    Alex    #2     green
   3    Andy    #4     blue
   4    Avery   #1     yellow

Workings

Hint
Does ONE work, does TWO work? How many E's are there already?

Answer
Twelve.

"Cleverly, there are exactly twelve E's in this sentence."

Workings

Hint
The number is less than 20.

Answer
8.

Reasoning
We need a number (N) such that:

2 x N = 14 + N
             —
             4

Multiply throughout by 4 to give:

8 x N = 56 + N

So:

7 x N = 56

So N = 8.

Double-Checking
Its double is 16.

Its quarter is 2.

So its double is fourteen more than its quarter.

Workings

Hint
There are no squares of size 5x5.

Answer
125.

Reasoning
There are 61 squares of size 1x1.
There are 39 squares of size 2x2.
There are 20 squares of size 3x3.
There are 5 squares of size 4x4.

A total of 61 + 39 + 20 + 5 = 125.