Logic based on squares and additions.

$6 \times 6 = 36$, $24 \times 3 = 72$, $9 \times 7 = 63$. Missing number is 7.

Logic: $(8 \times 8) + (5 \times 7) = 64 + 35 = 99$, $(3 \times 3) + (9 \times 6) = 9 + 54 = 63$, $(17 \times 7) + (9 \times 9) = 119 + 81 = 200$.

Logic: (2 * 3) + (30/5) = 12. (5 * 1) + (-5/-1) = 5 + 5 = 10. Pattern is complex.

Pattern: (6 * 12) - (9 * 6) = 72 - 54 = 18. (4 * 12) - (8 * 8) = 48 - 64 = -16. (5 * 11) - (8 * 14) = 55 - 112 = -57. Correct logic: The sum of diagonals is (6+12)=18, (9+6)=15. 18-15=3. (4+12)=16, (8+8)=16. 16-16=0. (5+11)=16, (8+14)=22. 22-16=6.

Column 1: 528/2 = 40. Column 2: 543/2 = 30. Column 3: 2110 = 20.

Column I ⇒ 4×8+3=35
Column II ⇒ 7×6+7=49
Column III ⇒ 9×8+9=81

√64 + √36 + √49 = 8 + 6 + 7 = 21
√121 + √81 + √100 = 11 + 9 + 10 = 30

Logic in column 2: $(60 \times 2) - 6 = 114$. Similarly, in column 1: $(28 \times 2) + (5 \times 3) + 1 = 72$. The missing number (?) is 2.

(Sum of opposite digits) / 2 in clockwise direction
(4+8)/2=6; (3+7)/2=5; (6+2)/2=4; (5+1)/2=3 ∴ 6543
(1+5)/2=3; (2+6)/2=4; (3+7)/2=5; (4+8)/2=6 ∴ 3456
(7+3)/2=5; (5+1)/2=3; (4+8)/2=6; (2+6)/2=4 ∴ 5364

$(4+7) + (3\times 2) = 11 + 6 = 17$; $(1+4) + (1\times 8) = 5 + 8 = 13$; $(7+3) + (4\times 9) = 10 + 36 = 46$.

Difference of row 2 and row 1 is constant 5. For row 3, 10+2=12, 9+3=12? No. Simply, Col 3: 10+5=15, Col 4: 12+5=17. Col 3: ?+5=15. Logic: Row 1 + 5 = Row 2. Row 1 + 2 = Row 3. 10+2=12.

$0^2 + 3^2 + 1^2 + 2^2 = 14$; $3^2 + 5^2 + 2^2 + 4^2 = 9 + 25 + 4 + 16 = 54$; $3^2 + 1^2 + 6^2 + 5^2 = 9 + 1 + 36 + 25 = 71$.

$8+4+7+6 = 25 = 5^2$; $12+8+7+9 = 36 = 6^2$; $9+16+14+10 = 49 = 7^2$

(6+4+3+1+5+0)×7 = 133
(2+5+3+4+6+8)×7 = 196
(1+5+7+3+4+2)×7 = 154

2+4+6=12
6+2+4=12
4+x+2=12
∴ x=6

4^2+2^2+1^2=16+4+1=21
5^2+3^2+8^2=25+9+64=98
∴ 6^2+7^2+3^2=36+49+9=94

$7 \times 4 - 9 = 19$; $8 \times 5 - 19 = 21$. Missing number is 21.

Logic: 82-1=15. 152-1=29. 292-1=57. 572-1=113. 113*2-1=225.

The logic is as follows:
Column 1: $6^2 = 36, 36 - 12 = 24$
Column 2: $9^2 = 81, 81 - 18 = 63$
Column 3: $12^2 = 144, 144 - 24 = 120$
Thus, the missing number is 120.