You have 3 boxes, each containing two balls, one containing

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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
Source: — Critical Reasoning |

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by deloitte247 » Sat Jul 07, 2018 12:13 pm

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Option A - INCORRECT.
According to the statement in the reasoning ''you are told that the marking on boxes are wrong''. Meaning that there is no indication of which color of balls is in each box, which implies that you have to unlock the whole boxes to verify which color of balls is in it.

Option B - INCORRECT.
The statement in this option is similar to the statement made in option A. The instruction has already clarified that there is no color specification on any of the boxes not until you unlock it by picking any of the balls and by so doing, does not guarantee the assumption of which color is also available in the box and the other boxes left.

Option C - INCORRECT.
This statement is still a repetition of assumption made in option A and B. There is no magic in determining which color of balls is in each box not until you open the box and pick out the balls in it one after the other, that is when you can categorically say what color of balls and how many balls is contained in each boxes.

Option D - CORRECT.
''You cannot know which balls is contained in a box until you take a ball out of more than one box'', this statement is the fact based on the assumption in this reasoning. since the marking on each of the box is presumed wrong, then it means that for you to know the exact color of balls and the number it contains in a box you have to pick out more than three to four balls in more than one box. This action which help assume the remain color of balls contained in the left over boxes or rather the third box.

Option E - INCORRECT.
You can actually assume which color of balls is remaining if the box remaining is just one. Meaning that you have to open more than one box and you must have up to 3 to 4 balls out of the two boxes opened. However, the statement in this option is wrong.