Solution:

First stack of cards = 11
Second stack of cards = 7
Third stack of cards = 6

First move:
First stack of cards = 11 - 7 = 4
Second stack of cards = 7 + 7 = 14
Third stack of cards = 6

Second move:
First stack of cards = 4
Second stack of cards = 14 - 6 = 8
Third stack of cards = 6 + 6 = 12

Third Move:
First stack of cards = 4 + 4 = 8
Second stack of cards = 8
Third stack of cards = 12 - 4 = 8

Solution:

'T'

Explanation:
The letters around the center are actually depending on the letter in the center. They are advancing according to the numerical value of that letter.

For example, F, G, H and I are advancing by 1 because the center letter is A, which has the numerical value 1.

Again, G, K, S, and O are advancing by 4, because the center letter is D, which has a numerical value of 4.

Similarly, N has advanced by 6 from H, because the center letter is F, which has a numerical value of 6. Hence, the missing letter should be T.

Solution:

3! + 15 + 9 = 30

Explanation:
3! = 3 * 2 * 1 = 6
6 + 15 + 9 = 30

Solution:

EAT

Explanation:
EAT becomes ATE simply my moving letter 'E' at the end

Solution:

73 & 48

Explanation:
We can get the number on the left by adding numbers above it and subtract the sum by 5. i.e.
8 + 11 - 5 = 14
14 + 10 - 5 = 19
19 + 16 - 5 = 30
30 + 21 - 5 = 46
46 + 32 - 5 = 73

Right column = left number above it + 2 => 46 + 2 => 48

Solution:

17

Explanation :
The relationship holds for below formula :
pow(x,3) - pow(x,2) - 1
=> 9*9*9 - 9*9 - 1
=> 729 - 81 - 1
=> 647

Similarly,
17*17*17 - 17*17 - 1
=> 4913 - 289 - 1
=> 4623

Solution:

Eighth Batsman

== Over Number 1 ==
Ball 1 : Batsman-1 got out
Ball 2 : Batsman-3 got out (Note: batsman-2 is on non-striker end)
Ball 3 : Batsman-4 got out
Ball 4 : Batsman-5 got out
Ball 5 : Batsman-6 got out
Ball 6 : Batsman-7 got out

== Over Number 2 ==
Ball 7 : Batsman-2 got out (Note: batsman-2 which was on non-striker end will switch end with batsman-8 at the end of 1st over)
Ball 8 : Batsman-9 got out (Note: Batsman-8 is on non-striker end)
Ball 9 : Batsman-10 got out
Ball 10 : Batsman-11 got out

Solution:

111111111

Explanation:
It's a maths magical square root series as :
Square root of number 121 is 11
Square root of number 12321 is 111
Square root of number 1234321 is 1111
Square root of number 123454321 is 11111
Square root of number 12345654321 is 111111
Square root of number 1234567654321 is 1111111
Square root of number 123456787654321 is 11111111
Square root of number 12345678987654321 is 111111111 (answer)

Solution:

Sucre : 1 cupcake
T-Bag : 2 cupcakes
Burrows: 3 cupcakes
Scofield : 5 cupcakes

Explanation :
It's obvious if the prisoner has eaten 5 or more cupcakes than he will not ask this question "did you had more cupcakes than me?" as it will make him the person who had eaten maximum cupcakes.
A) Sucre : Must not have eater 5 cupcakes, therefore he has eaten anywhere between 1-4 cupcakes.

B) T-bag : Since sucre asked him the question T-bag knows sucre have eaten between 1 - 4 cupcakes, and therefore he must have eaten 2 to 4 cupcakes(it can't be 1 else he will reply answer as "No".)

C) Burrows : Replied with the answer as "I don't know and based on logic B) he knows T-bag must have eaten at least 2 and he replied no which implies that he must be eaten 3 or 4.

D) Scofield replied he know all, which indicates he must have eaten 5.
Therefore cupcake division is as below:
Sucre : 1
T-Bag : 2
Burrows: 3
Scofield : 5

Solution:

Chunky lives in house number 3 and bought chocolate ice cream with no topping.
The brand lives in house number 2 and bought mixed fruit ice cream with the orange grape.
Stef lives in house number 5 and bought pineapple ice cream with walnut.
Andy lives in house number 4 and bought raspberry ice cream with the grape.
Chunk lives in house number 1 and bought orange ice cream with raspberry.