#21 - Local, Could Be True

[Jkjones3789]

Hello, For this game I was able to make some not blocks and deduced that if you have X the previous year Z must be the next year after and if you have Z the previous year W must be the next year after. I was able to answer 20, 23, and 24 correctly , but I have no idea about 21 and 22. In 21 I was able to narrow it down to B and C but I'm not sure which one. Is there a major inference that I missed that would have allowed me to have a more efficient approach? Thank you

[BethRibet]

Hi JK,

Thanks for the question. Your inferences are both correct.

For question 21, there is no single inference -- but several smaller ones which help eliminate the wrong choices. The way to rule out answer choice C (as you mention being down to B & C) can partially be visualized:

factories: F G H J K
year 1 V W
2 W Z
3 W

Remember that each model must show up in each year, and that Z can only show up once per year. The challenge here is that there's then no way to have X in year 1, because if X shows up in year 1 for H, J or K, that results in Z showing up twice in year 2, violating the last rule. That lends us an inference, in year 1, X will show up just once, be followed by Z just once in year 2. Therefore factory G can not have W in year 1 and Z in year 2.

You can also notice that the same will be true with X in year 2 -- Z will need to follow it in year 3 in the same factory, and nowhere else. Only in year 3, where X doesn't have to be followed by anything, will we not have to place Z just after it in the same factory.

This same combined inference will solve question 22 for you -- you know that because X must be followed by Z when it shows up in year 1 and 2, X can only show up once in those two years. That corresponds to answer choice B, which is the correct answer.

Hope this helps!
Beth