If boxes 2, 3, and 4 all contain balls that are the same color as each other, then which one of the following must be...

EMSon June 23, 2021

Why D and not B?

If there have to be more R than W, and 2 of the balls are the same in 2,3, & 4 and 1 cannot be a R, then 2, 3, & 4 would be G. If there is W in 1 then there must be 2 R balls so 5 & 6 would be R and there would be exactly 3 G balls. Why would B be incorrect then?

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Answer choice (B) is incorrect because it does not have to be true. There is at least one possible scenario where less than three of the boxes contain G balls.

G R R R W G 1 2 3 4 5 6

Notice that the above meets all of our conditions:

1) There are more R balls (3) than W balls (1)

2) There is a box containing a G ball (Box 1) that is lower in the stack than any box that contains an R ball (Boxes 2-4)

3) There is a W ball in a box (5) that is immediately below a box that contains a G ball (6)

4) Boxes 2, 3, and 4 all contain R balls

Hope this helps! Please let us know if you have any further questions.