Solution:

South

The series: south, east, north, south, west, east spirals clockwise from the top left-hand corner.

Solution:

XI - I = X

Explanation:
Remove I (Roman equivalent of number 1) from the left side, you will the get the number on the right.
29 - 1 = 30
XXIX - I = XXX (Roman equivalent of number 30)

14 - 1 = 15
XIV - I = XV (Roman equivalent of number 15)

9 - 1 =10
IX - I = X (Roman equivalent of number 10)

Similarly,
11 - 1 = 10
XI - I = X (Roman equivalent of number 10)

Solution:

3

Explanation:
Digits are represented in binary form where a ball is 1 and a ring is 0.
001 = 1
010 = 2
100 = 4
011 = 3

Solution:

A and W.

The letters are the first letters of the words in the question. Thus, the next two letters are A and W.

Solution:

3 1 2 2 1 1
1 3 1 1 2 2 2 1

Read Line as one 1 => 1
Read Line 2 as two one => 2 1
Read Line 3 as one two and one one => 1 2 1 1
and so on.

Solution:

Letter "D"

The sequence "JFMAMJJASON" represents the first letter of each month in a calendar year. Following the pattern, the next letter in the sequence should be "D" for December. So, the complete sequence for a calendar year would be:

J - January
F - February
M - March
A - April
M - May
J - June
J - July
A - August
S - September
O - October
N - November
D - December

Therefore, "D" is the next letter in the sequence.

Solution:

E = 3333

T = 7+7+7+7 = TWENTY EIFH(T)
R = 6+6+6+6 = TWENTY FOU(R)
Y = 5+5+5+5 = TWENT(Y)
N = 4+4+4+4 = SIXTEE(N)

3+3+3+3 = TWELV(E)

Solution:

B

every next plate makes a 1/4 turn clockwise.

Solution:

4.

The number in every row indicates the number of crossed lines in every shape

Solution:

89

Explanation:
(1st-column-number * 2nd-column-number) + (1st-column-number + 2nd-column-number) = 3rd column number.

i.e

(3 x 1) + (3 + 1) = 3 + 4 => 7
(6 x 4) + (6 + 4) = 24 + 10 => 34
(8 x 7) + (8 + 7) = 56 + 15 => 71
(9 x 8) + (9 + 8) = 72 + 17 => 89