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:

Every segment in the new circle moves 90 degrees clockwise.

Solution:

40 or 96

Explanation:
Solution A :
Add the rhs of the last line to the current line
1 + 4 = 5
5 + 2 + 5 = 12
12 + 3 + 6 = 21
21 + 8 + 11 = 40

Solution B :
RHS = 1ST NUMBER + (1ST NUMBER * 2ND NUMBER)
1 + (1 x 4) = 5
2 + (2 x 5) = 12
3 + (3 x 6) = 21
8 + (8 x 11) = 96

Solution:

52

Explanation:
The Last number in the column is represented by
(1st-number)(2nd-number) - (3rd-number)

Based on above formulla,
1st column logic 26 - 4 = 22
2nd colum logic 37 - 5 = 32
3rd colum logic 48 - 6 = 42;

Required numer i.e 4th colum logic is
59 - 7 = 52

Solution:

TH

Explanation:
1st 2nd 3rd 4th 5th

Solution:

121

Explanation
Tables consist of squares of the number from 4 to 12.
11^2 = 121.

Solution:

26

Explanation:
14 = 1^2 + 2^2 + 3^2
21 = 4^2 + 1^2 + 2^2
29 = 4^2 + 3^2 + 2^2
26 = 3^2 + 4^2 + 1^2

Solution:

1

Explanation:
4 + 9 = 1
The trick to solve is to assume the first number as the time in AM and the second number is the number of hours you have to add to it. You'll find the time in PM when you do that.

For example
7 AM + 7 hours = 14:00 or 2 PM

4 AM + 9 hours = 13:00 or 1 PM.

Solution:

The missing letter on left is P and the missing letter on the right is C. The word starts from the missing letter C and forms the word champion.

Solution:

The number 20 fits in place of question mark.

This is because (number in first column) / (number in second column) * 8 = number in third column.

Here (left number / middle number) * 8 = right number
E.g. (35 / 20) * 8 = (7/4) * 8 = 7 x 2 = 14
The same process can be used to find out the missing digit.