# Which one of the following partners cannot have the third highest salary?

Reina on October 25, 2019

Homework questions on December 2000: #1 and #5

On the homework from December 2000 I am having trouble understanding why #1 cannot be answer choice E and is C instead? I guess I am confused with the placement of V. Also, can you explain why the answer to #5 is C? This was not my original answer and I wanted an explanation for why V is not fourth.

Replies

Irina on October 25, 2019

@Reina,

Thank you for your question. Could you clarify which game you are referring to?
The game that appears attached to this question is a law firm partners game.

Reina on October 29, 2019

Yes this is the December 2000 game from the sequencing games section

Irina on November 4, 2019

@Reina,

Thanks. The game requires us to rank 7 TV programs - H J L P Q S V.
The following rules apply:
(1) J & L are each less popular than H.
H> J
H >L

(2) J is more popular than Q
H > J >Q

(3) S & V are each less popular than L
H > L >S
H > L> V

(4) P &S are each less popular than Q
H> J> Q > P
H> J> Q> S

(5) S is not 7th

__ __ __ __ __ __ __
~S

Taken together we have the following chains:
H> J> Q > P
H> J> Q> S
H > L >S
H > L> V

The reason answer choice (E) in question 1 is incorrect because it violates rule (5) - S cannot be #7,

The correct answer to #5 is (B). Question 5 asks us if Q is more popular than L than each of the following must be true EXCEPT:. Let's add this rule to our original diagram:

H > J > Q > P
L> S
V

We can infer that H must be #1, J -#2, Q -#3 - thus we can eliminate (A), (D) and (E). We can also infer that either L or P must be fourth because S and V must go after L per rule (3). Since the highest rank L could take is #4, it is not possible for either S or V to be fourth, thus we can eliminate (C) - remember, it is an EXCEPT question. The correct answer is, therefore (B) since L could be but not must be fourth as P could be fourth instead.

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

Reina on November 5, 2019

Thank you!

cglee on February 16, 2020

Hi,
I have a question on #7. The correct answer is C I picked E. While I see how C could be the answer, I still can't find my error in my answer of E. Can you explain to me why E is not correct? I want to understand where my reasoning is wrong.

Skylar on May 2, 2020

@cglee, happy to help!

(E) lists the sequence H, L, V, J, Q, P, S

This is invalid because S is placed 7th. Rule #5 tells us that "S is not seventh." Therefore, (E) is incorrect because it violates Rule #5.

Does that make sense? Please let us know if you have any other questions!

cglee on June 15, 2020

P: X—->A

P: ?

C: ~A—->B