To determine whether a number is divisible by 3, we need to check if the sum of its digits is divisible by 3.
Let's go through each option to see if it is divisible by 3:
Option A) (ii) only - The number 5967013 has digits 5, 9, 6, 7, 0, 1, and 3. The sum of these digits is 5+9+6+7+0+1+3 = 31. Since 31 is not divisible by 3, option A is incorrect.
Option B) (i) only - The number 541326 has digits 5, 4, 1, 3, 2, and 6. The sum of these digits is 5+4+1+3+2+6 = 21. Since 21 is divisible by 3 (21/3 = 7), option B is correct.
Option C) both (i) and (ii) - Since we have already determined that option A is incorrect, option C is also incorrect.
Option D) None - Since option B is correct, option D is incorrect.
Therefore, the correct answer is B.