Explanation:

Let’s break down the pattern for each set:

- 1008 : 8

- 1008 divided by 8 equals 126 (but not helpful directly).

- Check sum of digits: 1+0+0+8 = 9 (No match).

- Prime factors: 1008 = 2×2×2×2×3×3×7 (No clear relation).

- Check number of letters in word: EIGHT = 5 (No match).

- Now, count the number of zeros in 1008? Only 1.

- Observe 220 : 4 - 220 / 4 = 55.

Try dividing 1008 by 8:

- 1008 / 8 = 126

Is the question asking for a similar pattern? Let’s see the options divided by 6:

- 524 / 6 = 87.33

- 443 / 6 = 73.83

- 518 / 6 = 86.33

- 350 / 6 = 58.33

Now, let’s see if there's another pattern. Let's try number of factors:

- 8 as a factor in 1008? 1008 / 8 = 126

- 220 / 4 = 55

Still, nothing clear. Let’s check options:

- Which number when divided by 6 gives a whole number? 518/6 = 86.33, not an integer.

- 524/6 = 87.33, not integer.

- 443/6 = 73.83, not integer.

- 350/6 = 58.33, not integer.

Looks like division is not the pattern.

Now, check for sum of digits of 1008: 1+0+0+8 = 9

220: 2+2+0=4

So, 220 : 4 relates to sum of digits.

Sum digits of each option:

- 524: 5+2+4 = 11

- 443: 4+4+3 = 11

- 518: 5+1+8 = 14

- 350: 3+5+0 = 8

We need a number whose sum of digits is 6.

- 6: 6? What three-digit number, when summed, gives 6?

- Try: 105: 1+0+5=6

- 114: 1+1+4=6

But, none of the options have their digits adding up to 6.

Let’s review patterns:

- 1008:8 and 220:4

- 1008/8=126; 220/4=55

Is 126 a multiple or related to 55?

- No clear pattern.

Let’s try factor counts:

- 1008: factors = 16

- 220: factors = 12

- No relation to 8 and 4.

Looking at the patterns, maybe it is sum of the numbers:

- 1008-1000=8

- 220-216=4 (cube root idea?)

Try 8^3=512; 512 is not 1008 but 1008-512=496

No solid relation.

From all deductive reasoning, none of the options fits the sum to 6, nor division to 6 exactly.

Bulleted Explanation:

- First pair: 1008:8 – Possibly division or sum pattern. No clear match.

- Given pair: ?:6

- Must select number where some rule matches to 6.

- Last pair: 220:4 – The sum of digits matches 4.

- Checked all options:

- None offers a sum or a direct division that gives 6.

- Hence, none of the options satisfy a clear, deduced rule.

- If following division pattern (number divided by the right is integer), none work for 6.

- If following digit sum pattern, none of the options sum to 6.

Therefore: