Which one of the following could be the schedule of interviews in order from the first day through the fourth?

Nicole on September 16 at 02:58PM

Video

Hi, any chance we can have a video on the game set up and questions? I struggled on this game.

1 Reply

Irina on September 16 at 05:45PM

@odonnell,

Please forward your request for a video explanation to our support team. They can be reached by tapping "support" from the left menu or by calling 855.483.7862 ext. 2 Monday-Friday 9am-6pm PT.

In the meantime, please see below for a written explanation for the setup and the first question.

The game involves a prosecutors office interviewing 4 witnesses - F G H I over a four day period. Each witness will be interviewed by exactly one of three investigators- Q R S - and each investigator will interview at least one witness. The game then requires us to match witnesses to investigators and days.

I:
W: ___ ___ ___ ___
1 2 3 4

The following rules apply:

(1) G & H must be interviewed by the same investigator:

G(i)= H(i)

(2) G & I cannot be interviewed on consecutive days.

~GI
~IG

This rule tells that G & I must go on either days 1 & 3, 2 & 4, or 1 & 4.

(3) Q must interview F
Q -> F

This rule allows us to infer that Q does not interview G & H because if Q interviews F G H, there is only one person left to interview - I - but two more investigators, and the game tells us that every investigator must interview at least one witness. Hence, we can conclude that no investigator can interview more than 2 witnesses. 2 - 1 -1 is the only possible scenario of witnesses per investigator.

G& H must then be interviewed either by R or S.

(4) R must conduct the 3d interview.

I: R
W: ___ ___ ___ ___
1 2 3 4

This is an optional step, but since we know R must interview either G & H or I, we could illustrate one of the most restrictive scenarios, where R interviews I:


I: S /S/Q R S/Q
W: G /H/F I /H/F
1 2 3 4

Then S must interview G on day 1 per rule (2), and H/F could be interviewed on days 2 and 4.


Let's summarize all the inferences:

I: R
W: ___ ___ ___ ___
1 2 3 4

R/S: G & H
R/S: I
Q: F

~(GI v IG)

The question asks us which of the following could be the schedule of the interviews?

(A) Q: I, R:H

Incorrect, per rule (3), Q must interview F.

(B) Q:F, S: I, R: G, R:H

Incorrect, this schedule violates rue (2), we cannot have GI/ IG sequence

(C) R:I, Q:F, R:G, S:H

Incorrect, G & H must be interviewed by the same person per rule (1).

(D) S:G, S:H, Q:F

Incorrect, R must conduct the interview on day 3 per rule (4).

(E) S: I, Q:F, R:H, R:G

Correct. This schedule complies with all the rules.

Let me know if this makes sense and if you have any further questions.