Rakesh is playing a game on his PS2 (Playstation) where numbers have to be placed in the empty cells. Place numbers in all empty cells according to the following rules.
1. Put numbers into empty cells so the puzzle grid becomes divided into Blocks of cells with the number of cells indicated by the number in the cells.
2. A Block must contain the number of cells indicated by the number in any cells of the Block.
3. A Block cannot touch a similarly sized Block, horizontally or vertically.
4. Cells without numbers may form Blocks necessary to complete the puzzle.
For example:
If we are considering a block of three, then it can be of the forms as shown in the figure:
Q1. What is the sum of the 1st row?
(1) 25
(2) 26
(3) 27
(4) 28
(5) 24
Q2. What is sum of the cells (4, 1) and (4, 7)?
(1) 3
(2) 4
(3) 5
(4) 6
(5) 7
Q3. What is the maximum number of 1's that can be used?
(1) 3
(2) 4
(3) 5
(4) 6
(5) 1
Q4. Which number is in (5, 6)?
(1) 5
(2) 3
(3) 4
(4) 1
(5) 2
Q5. After the table is filled according to the rules, what is the sum of all the entries?
(1) 163
(2) 165
(3) 161
(4) 167
(5) 169