Linear Games Questions - - Question 8

If Iris is scheduled for the next day after Harry, which one of the following lists all those days any one of which c...

Timdec September 23, 2020

How can Harry be on Wednesday

I thought Nancy could not be on Friday because Harry was not on Monday.

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Lani October 8, 2020

Can someone tell me if their questions are being addressed by the LSAT Max team? Because I need to understand why it is ok for Nancy to be on Friday when Harry is not on Monday (question 7). I paid a lot for this course and I need answers. I asked questions before about other things but no one answered any of them.

Victoria October 17, 2020

Hi @Timdec and @Lani,

Happy to help! Sorry for the delay, we are working through the questions as quickly as we can. There is a video explanation available for this question which you can access when you "review" the section, but I'm happy to run through an explanation for you!

We know that five people are scheduled as contestants on a TV show: H, I, K, N, and V.

One contestant will be scheduled per day over five days - Monday through Friday.

Therefore, we are dealing with a linear game.

_ _ _ _ _
M T W R F

Now let's go through our conditions.

Rule 1 - N is not scheduled for M

Therefore, we can only schedule N on T, W, R, or F.

Rule 2 - If H is scheduled for M, then N is scheduled for F

HM --> NF
Not NF --> Not HM

It seems like you've both got this rule a bit mixed up. H cannot be on M if N is not on F, not the other way around.
If H is not on M, it is still possible that N is on F.

Remember to always reverse AND negate S&N statements when diagramming the contrapositive.

Rule 3 - If N is scheduled for T, then I is scheduled for M

NT --> IM
Not IM --> Not NT

Rule 4 - K is scheduled for the next day after the day on which V is scheduled

|VK|

The question stem imposes an additional condition: I must be scheduled for the next day after H. This means we now have two blocks: |VK| and
|HI|.

Therefore, N can only theoretically be scheduled on M, W, or F. We know from Rule 1 that N cannot be scheduled on M. Therefore, N can only be scheduled on W or F.

Why? Because scheduling N on T or R would break up our blocks.

Option 1 - N is scheduled on W

|Block| N |Block|
M T W R F

Option 2 - N is scheduled on F

|Block| |Block| N
M T W R F

The question stem asks us to select the answer choice which outlines all possible days on which H is scheduled.

We know we have our |HI| block. Therefore, based on our diagrams above, H could be scheduled on M, W, or R.

Option 1 - H scheduled on M

H I N V K
M T W R F

Option 2 - H scheduled on W

V K H I N
M T W R F

Option 3 - H scheduled on R

V K N H I
M T W R F

We cannot schedule H on T because H must be the first contestant in its block. Therefore, we can eliminate all answer choices which contain T i.e. (A) and (D).

We can also eliminate (B) and (C) because they each miss an option. We know that H could be scheduled on M, W, or R.

Therefore, (E) is our correct answer.

Notice that scheduling H on W still meets all of our conditions.

V K H I N
M T W R F

1) N is not scheduled for M
2) H is not scheduled for M; therefore, this rule is irrelevant. The contrapositive is also irrelevant because N is scheduled for F.
3) N is not scheduled for T; therefore, this rule is irrelevant. The contrapositive is met because I is not scheduled for M and N is not scheduled for T.
4) K is scheduled on T which immediately follows M when V is scheduled.
5) I is scheduled on R which immediately follows W when H is scheduled.

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