Which one of the following must be true?

on September 15 at 04:39PM

Game setup

If anyone could be diagram the setup for this game? I got all the other questions right but this one I can't seem to grasp as to why I got wrong. thanks!

3 Replies

Isabella on October 4 at 09:19PM

Hi! I just figured this out but since we know that J has to be Urban, and that either K or F must be urban (since they need to be different) we have used up our 2 allotted urbans. Therefore, our 3 rurals will be either K or F, and G and H!

Victoria on October 9 at 03:29PM

@isabellaivanov you are absolutely correct! Keep up the great work!

Victoria on October 9 at 03:37PM

Hi @Karlie,

Happy to help you out with the setup!

We know that a magazine is assigning photo essays to be featured in its first five monthly issues. There will be one essay per issue.

Three of the essays will have a rural theme (R) and two will have an urban theme (U).

Each essay will be assigned to one of five photographers: F, G, H, J, and K.

Theme: _ _ _ _ _
Person: _ _ _ _ _
1 2 3 4 5

Now let's go through our conditions.

Rule 1 - the essay in the first issue must have an R theme

Rule 2 - K must be featured in the issue immediately preceding the issue in which F is featured

|KF|

Rule 3 - F's essay cannot have the same theme as K's

This means that one of their essays must have an R theme and the other must have a U theme.

Rule 4 - G's essay must be featured in the third issue.

Rule 5 - J's essay must have a U theme

As J's essay must have a U theme and either F or K's essay must also have a U issue, the remaining essays must all have an R theme. Therefore, both G and H's essays must have an R theme.

F - U/R
K - R/U
J - U
H - R

Theme: R _ R _ _
Person: _ _ G _ _
1 2 3 4 5

We know quite a bit of information from the rules and the deductions that we were able to make. Therefore, we can map out a couple of scenarios to make answering the questions a bit easier.

|KF| must either be essays 1 and 2 or 4 and 5.

Option 1: |KF| are essays 1 and 2

Theme: R U R U/R R/U
Person: K F G J/H H/J
1 2 3 4 5

Option 2: |KF| are essays 4 and 5

Theme: R U R R/U U/R
Person: H J G K F
1 2 3 4 5

Now let's address the question stem. We are looking for the answer choice which must be true.

We have already made the deduction above that G's essay must have an R theme. Therefore, answer choice (D) is our correct answer.

Answer choice (A) is incorrect because we know that G's essay must be featured in the third issue and must have an R theme.

Answer choice (B) is incorrect because it is possible that J's essay is fifth and we know that J's essay has a U theme.

Answer choice (C) is incorrect because if F's essay is fifth, it is possible that it has an R theme.

Answer choice (E) is incorrect because if K's essay is fourth, it is possible that it has a U theme.

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