In the following question, select the missing number from the given series.
3
6
7
9
5
5
2
10
​

6
3
2
7
6
?
10
0
​

8
5
5
8
4
5
0
0
​

Let's analyze the grid values column-wise to understand the underlying pattern.
Column 1 sum:

3+6+7+9+5+5+2+10=47
Column 3 sum:

8+5+5+8+4+5+0+0=35
Let's examine the relationships between values within the horizontal rows to see if there is a clearer row-by-row constraint:
Notice that if we pair rows or compute step operations:

Row 1: 3×6=18

=8

Let's test column sums matching another property, or row arithmetic:
Alternatively, notice the columns satisfy a column-sum balance if configured properly:
Let's re-verify the sum of digits or column totals:
Sum of Column 1 = 47
Sum of Column 3 = 35

Let's look at the difference patterns:
Row 7: 2+10+0=12
Row 8: 10+0+0=10

Let's look at a simpler, more direct pattern vertical structure:
Notice the relation:

Row 1: 3+6−1=8

Row 2: 6+3−4=5

Row 3: 7+2−4=5

Row 4: 9+7−8=8

Row 5: 5+6−7=4

Row 6: 5+x−y=5⟹x=y

Let's check alternative rule: Sum of rows

Row 1: 3+6+8=17

Row 2: 6+3+5=14

Row 3: 7+2+5=14

Row 4: 9+7+8=24

Row 5: 5+6+4=15

Row 7: 2+10+0=12

Row 8: 10+0+0=10

Let's test vertical logic again:
Divide the 8 rows into two blocks of 4 rows:
Block 1 (Rows 1–4) column totals:

Col 1: 3+6+7+9=25

Col 2: 6+3+2+7=18

Col 3: 8+5+5+8=26

Block 2 (Rows 5–8) column totals:

Col 1: 5+5+2+10=22

Col 2: 6+?+10+0=16+?

Col 3: 4+5+0+0=9

Let's check the alternative standard format:
Sum of all digits or a simple sequence column rule.
Let's try: (Row 1×Row 2)…
Notice:

Col
1
​
×Col
2
​
−something:

Row 1: 3×6=18→8 (unit digit is 8)

Row 2: 6×3=18→8

=5

Row 3: 7×2=14→4

=5

Let's check:

Row 1: 3+6+8=17

Row 2: 6+3+5=14

Row 3: 7+2+5=14

Row 4: 9+7+8=24

Row 5: 5+6+4=15

Row 6: 5+14+5=24 (If ?=14)

Row 7: 2+10+0=12

Row 8: 10+0+0=10

Let's look at the alternate row sequence:

Row 1 sum = 17

Row 4 sum = 24

Row 6 sum = 24 (if ?=14)

Let's check if the missing digit is 14:
If the missing number is 14:
The sum of column 2 becomes: 6+3+2+7+6+14+10+0=48.
Total sum of column 1 = 47
Total sum of column 2 = 48
Total sum of column 3 = 35

Let's look at a simpler rule:

Row 6:5+?+5
If we take the option 14:
5+14+5=24, which matches the row sum of Row 4 (9+7+8=24).