#16 - Local

[Administrator]

Complete Question Explanation

The correct answer choice is (B).

Answer choice (A):

Answer choice (B): This is the correct answer choice.

Answer choice (C):

Answer choice (D):

Answer choice (E):

This explanation is still in progress. Please post any questions below!

[therightmule]

Please explain how D is correct.

The question asks for two paintings.

If Q and V are selected, then R must be selected per rule #2. That makes for three of the five paintings.

If G and I are selected (answer D), then F cannot be selected. Thus, rule #1 is violated (If G then F).

What am I misreading? Please and thank you.

[meret_scholar]

D is not correct, B is.

Let's start by mapping out the scenario the question introduces.

• #2 If V -> R
  #3 contrapositive if Q -> ~H
  #5 causes two directions. Either FV or SV, not all three can be selected.
  Let's take F and ~S. #1 F -> G, because ~H
  This causes ~I because max 5 selected.
  • Next take S and ~F. #1 contrapositive ~F-> ~G as well
    This causes I in because max 3 not selected. This is reaffirmed by #4 contrapositive I -> ~G or ~S is fulfilled.

Here's the two maps:
In: Q V R F G
Out: H S I

In: Q V R S I
Out: H F G

Looking at the answers, the wrong answers MUST BE false - and indeed they are. The only one that is true is B.

I am confused why the game makers used COULD BE true in the question though, because it be MUST BE. Am I missing something?

[Paul Popa]

Hi Meret [sic] Scholar,

Great username! You are right that B is the correct answer. If Q and V are selected, we must also select R per rule 2. And based on the contrapositive of rule 3, we can deduce that H must be out. That leaves exactly two remaining paintings to be selected.

A and E are out due to rule 3: H can't be selected if Q or I is.

C is out due to rule 5: if F is in, I can't have both S and V--just one or the other.

Finally, D is out because of rule 1. If I have G selected, I must also select F, but the slots are already full if I select G and I.

The reason why the test makers wrote this as a could be true question is because there are pairs of paintings that can work with R, Q, and V besides S and I. For example, I could pair F and I with R, Q, and V and not violate any of the rules. So while S and I definitely work as a pair, they aren't the only pair that could work in this scenario, which is why this is a could be true question. Hope this helps!