Solution:

it got mugged!

Solution:

31

Each term in the sequence seems to be doubling and then adding 1 to get the next term:
3 * 2 + 1 = 7
7 * 2 + 1 = 15

Following this pattern:
15 * 2 + 1 = 31 .. the missing number

The last number
31 * 2 + 1 = 63

Solution:

Ghosts don't sweat, so the girl in the center is not a ghost.

Solution:

A "tea"f!

Solution:

The ghost is marked in the picture below.

Solution:

No human footprints.

Footprints in snowy weather are inevitable. Therefore, while the dog leaves paw prints in the snow, its human companion doesn't.

Solution:

Open doors.

Solution:

.05

Given the equation 8/x = 160, when you solve for x, you indeed get:

8/x = 160

To find x, you can simply invert the fraction:
x/8 = 1/160

Now, to isolate x, multiply both sides by 8:
x = 8 * (1/160)
x = 8/160
x = 1/20 = 0.05

Solution:

Strawberries don't grow on bushes.

Solution:

Rasmas is lying, how can he be so well-shaven after being alone in the woods for a week?