Critical Reasoning

You have 3 boxes, each containing two balls, one containing a black pair; one, a white pair; and the third, one white ball and one black ball. On each box are pictures of two balls - either two black ones, two white ones, or one white and one black. You are told that the markings on the boxes are all wrong. You are asked to ascertain the colors of the balls contained in each box.

Which of the following statements can be inferred from the above?

A) You can take out one ball from the box marked with two black balls and, without looking at the second ball, know what each box actually contains.
B) You can take out one ball from the box marked with two white balls and, without looking at the second ball, know what each box actually contains.
C) You can take out one ball from the box marked with one white ball and one black ball and, without looking at the second ball, know what each box contains.
D) You cannot know which balls are contained in which box until you take a ball out of more than one box.
E) You cannot know which boxes contain which color balls until you take a ball out of all three boxes.

What's the best approach to determine the answer?

OA D