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Riddles and Logic Games


Shoblongoo
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Do you like mind games?

...You play Fire Emblem...of course you like mindgames...
 

Post your puzzlers, stump your fellow forum dwellers, and show off those big sexy brains.
___________________________________________________________________________________

SCENARIO #1: Musical Mindfuck 

A panel of music historians ranked eight contemporary songwriters – Jackson, King, Lennon, Mitchell, Nicks, Prince, Simon, and Wonder – according to their relative impact on the evolution of the popular song form. No other songwriters were considered, and there were no ties in the final ranking. The ranking of the songwriters met the following conditions:

Nicks was ranked higher than Lennon but lower than Simon.

Prince was ranked lower than both Mitchell and Jackson.

Wonder was ranked lower than Nicks.

Jackson was ranked higher than Simon.

Nicks was ranked higher than King.

1. Which one of the following could represent the ranking of songwriters, listed from highest to lowest?

  • (A) Jackson, Simon, King, Mitchell, Prince, Nicks, Lennon, Wonder
  • (B) Jackson, Simon, Prince, Nicks, Mitchell, Wonder, Lennon, King
  • (C) Mitchell, Simon, Jackson, Prince, Nicks, Lennon, Wonder, King
  • (D) Mitchell, Jackson, Simon, Nicks, King, Wonder, Lennon, Prince
  • (E) Mitchell, Jackson, Prince, Simon, Lennon, Wonder, Nicks, King

2. Each of the following could be true EXCEPT:

  • (A) Wonder was ranked higher than King.
  • (B) Lennon was ranked higher than King.
  • (C) Mitchell was ranked lower than Lennon.
  • (D) Prince was ranked lower than Simon.
  • (E) King was ranked higher than Simon.

3. If Simon was ranked fourth, which one of the following must be true?

  • (A) Prince was ranked third.
  • (B) Jackson was ranked first.
  • (C) Wonder was ranked sixth.
  • (D) Nicks was ranked sixth.
  • (E) Lennon was ranked last.

4. If Prince was ranked fourth, each of the following could be true EXCEPT:

  • (A) Nicks was ranked fifth.
  • (B) Lennon was ranked seventh.
  • (C) Mitchell was ranked second.
  • (D) Jackson was ranked third.
  • (E) Wonder was ranked sixth.

5. Which one of the following must be true?

  • (A) At least two songwriters were ranked lower than Mitchell.
  • (B) At least two songwriters were ranked higher than Simon.
  • (C) At least two songwriters were ranked higher than Nicks.
  • (D) At least two songwriters were ranked lower than Wonder.
  • (E) At least three songwriters were ranked higher than Prince.

6. If the condition that Nicks was ranked higher than Lennon but lower than Simon is replaced with the condition that Nicks was ranked lower than both Lennon and Simon, and if all other conditions remain in effect, which one of the following must be true?

  • (A) Lennon was ranked no lower than fifth.
  • (B) Lennon was ranked no higher than third.
  • (C) Simon was ranked no higher than third.
  • (D) Nicks was ranked no lower than fifth.
  • (E) Simon was ranked no lower than fourth.

__________________________________________________

solve and explain all answers to complete the scenario
PRIZE FOR FIRST POSTER TO COMPLETE THE SCENARIO #1: This Pusheen Unicorn


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24 minutes ago, Chocolate Kitty said:

I have the first answer but I don't understand what the second question is asking; can you elaborate?

...I think @Tuvy2 can explain that one to you...

 

24 minutes ago, Tuvy2 said:
  Hide contents

 

1. D

2. E

3. A

4. D

5 A.

6 E?

 

Answers?

One or more answer(s) is incorrect! 

 

 



 

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Can't resist these kinds of puzzles, though I'm now leaving work so I won't know if it's right til I get home

Spoiler

==1==
A is false, Nicks can't be lower than King
B is false, Mitchell can't be lower than Prince
C is false, Jackson can't be lower than Simon
D is acceptable, contains no errors
E is false, Nicks can't be lower than Lennon or Wonder

==2==
A is acceptable, Wonder and King just have to be below Nicks, their order isn't verifiable
B is acceptable, Lennon and King just have to be below Nicks, their order isn't verifiable
C is acceptable, Mitchell just has to be above Prince, and both could be anywhere provided Prince isn't above Jackson
D is acceptable; Simon is somewhere between Jackson and Nicks, and Prince can be anywhere below Jackson and Mitchell
E is false, King is below Nicks, who is below Simon

==3==
A is true; While Prince could be lower under other circumstances, Mitchell cannot be 3rd (above Simon), and King/Lennon/Wonder have to be below Mitchell. Prince is 3rd by order of elimination.
B might not be true, because Mitchell can still be first
C might not be true, because Wonder/Lennon/King can be in any order of 6th/7th/8th
D might not be true, because Nicks is explicitely above Wonder, Lennon, and King
E might not be true, because Wonder/Lennon/King can be in any order of 6th/7th/8th

==4==
A is acceptable, Nicks is still above Wonder/Lennon/King and below Simon
B is acceptable, Lennon just has to be below Nicks, who can't be lower than 5th (with Lennon, Wonder, and King lower)
C is acceptable, Mitchell just has to be above Prince, who can be in any slot beneath her and Jackson
D is false, because Jackson has to be above Prince and Simon, and by extension, Mitchell, Wonder, Lennon, and King. Jackson can't be lower than 2nd place as 6 people have to be beneath him
E is acceptable, Wonder just has to be below Nicks, who can't be lower than 5th (with Lennon, Wonder, and King lower)

==5==
A might not be true, Mitchell could potentially be 7th with Prince 8th 
B might not be true, Simon could be 2nd behind Jackson
C is true, Simon is higher than Nicks and Jackson higher than Simon. Nicks could potentially be 3rd, 4th, or 5th.
D might not be true, because Wonder could be last
E might not be true, because Prince can be 3rd behind Jackson/Mitchell in either order

==6==
A is true, Lennon is above Nicks, who is above Wonder and King
B might not be true, as Lennon could be as high as 1st, so long as he is above Nicks
C might not be true, as Simon could be 2nd, above Nicks and below Jackson
D might not be true, as Nicks could be 6th, above Wonder and King
E might not be true, as Simon could be 5th, above Nicks, Wonder, and King

I'm not interested in prizes, just the satisfaction of solving it by myself

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7 minutes ago, Johann said:

I'm not interested in prizes, just the satisfaction of solving it by myself

Well you still get the pusheenicorn!!! (tag someone you like and give it to them if you don't want it)

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Edited by Shoblongoo
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SCENARIO #2: 
Mental Bruise Cruise 
 

A cruise line is scheduling seven week-long voyages for the ship Freedom. Each voyage will occur in exactly one of the first seven weeks of the season: weeks 1 through 7. Each voyage will be to exactly one of four destinations: Guadeloupe, Jamaica, Martinique, or Trinidad. Each destination will be scheduled for at least one of the weeks. The following conditions apply to Freedom’s schedule:

  • Jamaica will not be its destination in week 4.
  • Trinidad will be its destination in week 7.
  • Freedom will make exactly two voyages to Martinique, and at least one voyage to Guadeloupe will occur in some week between those two voyages.
  • Guadeloupe will be its destination in the week preceding any voyage it makes to Jamaica.
  • No destination will be scheduled for consecutive weeks.

Question 1.
Which one of the following is an acceptable schedule of destinations for Freedom, in order from week 1 through week 7?

(A) Guadeloupe, Jamaica, Martinique, Trinidad, Guadeloupe, Martinique, Trinidad
(B) Guadeloupe, Martinique, Trinidad, Martinique, Guadeloupe, Jamaica, Trinidad
(C) Jamaica, Martinique, Guadeloupe, Martinique, Guadeloupe, Jamaica, Trinidad
(D) Martinique, Trinidad, Guadeloupe, Jamaica, Martinique, Guadeloupe, Trinidad
(E) Martinique, Trinidad, Guadeloupe, Trinidad, Guadeloupe, Jamaica, Martinique

Question 2.
Which one of the following CANNOT be true about Freedom’s schedule of voyages?

(A) Freedom makes a voyage to Trinidad in week 6.
(B) Freedom makes a voyage to Martinique in week 5.
(C) Freedom makes a voyage to Jamaica in week 6.
(D) Freedom makes a voyage to Jamaica in week 3.
(E) Freedom makes a voyage to Guadeloupe in week 3.

Question 3.

If Freedom makes a voyage to Trinidad in week 5, which one of the following could be true?

(A) Freedom makes a voyage to Trinidad in week 1.
(B) Freedom makes a voyage to Martinique in week 2.
(C) Freedom makes a voyage to Guadeloupe in week 3.
(D) Freedom makes a voyage to Martinique in week 4.
(E) Freedom makes a voyage to Jamaica in week 6.

Question 4.

If Freedom makes a voyage to Guadeloupe in week 1 and a voyage to Jamaica in week 5, which one of the following must be true?

(A) Freedom makes a voyage to Jamaica in week 2.
(B) Freedom makes a voyage to Trinidad in week 2.
(C) Freedom makes a voyage to Martinique in week 3.
(D) Freedom makes a voyage to Guadeloupe in week 6.
(E) Freedom makes a voyage to Martinique in week 6.

Question 5.

If Freedom makes a voyage to Guadeloupe in week 1 and to Trinidad in week 2, which one of the following must be true?

(A) Freedom makes a voyage to Martinique in week 3.
(B) Freedom makes a voyage to Martinique in week 4.
(C) Freedom makes a voyage to Martinique in week 5.
(D) Freedom makes a voyage to Guadeloupe in week 3.
(E) Freedom makes a voyage to Guadeloupe in week 5.

Question 6.

If Freedom makes a voyage to Martinique in week 3, which one of the following could be an accurate list of Freedom’s destinations in week 4 and week 5, respectively?

(A) Guadeloupe, Trinidad
(B) Jamaica, Guadeloupe
(C) Martinique, Trinidad
(D) Trinidad, Jamaica
(E) Trinidad, Martinique

Question 7.

Which one of the following must be true about Freedom’s schedule of voyages?

(A) Freedom makes a voyage to Guadeloupe either in week 1 or else in week 2.
(B) Freedom makes a voyage to Martinique either in week 2 or else in 
week 3.
(C) Freedom makes at most two voyages to Guadeloupe.
(D) Freedom makes at most two voyages to Jamaica.
(E) Freedom makes at most two voyages to Trinidad.

_______________________

Prize for first clear is:

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This sugar glider in a pokeball

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1 hour ago, Shoblongoo said:

Well you still get the pusheenicorn!!! (tag someone you like and give it to them if you don't want it)

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oh, uh, you can have it

I'm gonna sit this round out unless the thread is at risk of dying

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Alright, let's see if this works:

Spoiler

Q1:

A Works.

B fails, as there is no Guadeloupe between the Martiniques.

C fails, as there is no Guadeloupe preceding the first Jamaica.

D fails, as Jamaica is on week 4.

E fails, as Trinidad is not last.

 

Q2:

A cannot be true, as Trinidad both must be in week 7, and cannot be in both weeks 6 and 7 (as they are consecutive)

B is true in the voyage MGJTMGT

C and D are both true in the voyage MGJMGJT

E is true in the voyage MTGMGJT

 

Q3:

A could only be true in the voyage TMGJTMT while following Martinique's and Trinidad's rules, but this requires Jamaica on week 4. Thus, A cannot be true.

B is in the same situation as A, and changing the first T to a G doesn't help.

C can only be true in the voyage (M and T, either order)GJTMT. This also requires Jamaica on week 4.

D is true in the voyage MGJMTGT.

E cannot be true, as for Jamaica to be week 6, week 5 must both be Guadeloupe and Trinidad.

 

Q4:

A, B, C AND D are all false in the voyage GMTGJMT. Way to give away the answer there...

E must be true. The string M*G*M requires at least 3 consecutive empty spaces, or two non-contiguous spaces to insert Martiniques. Weeks 1(G), 4(G required to proceed the J in week 5), 5(J) and 7(T) are all used up, so there is no three-space gap. As such, the two Martiniques must go in the empty spaces of week 2~3 and week 6.

 

Q5:

Another easy question. The only voyage possible is GTMGJMT, due to the M*G*M and GJ patterns both being required. Only A is true here.

 

Q6:

A is true in the voyage GJMGTMT

C has two Martiniques in a row.

B and D both have a Jamaica that is not preceded by a Guadeloupe.

E has a pair of Martiniques not encompassing a Guadeloupe.

 

Q7:

A and E are both false in the voyage TMTGJMT.

B and C are both false in the voyage GJGMGMT

D must be true. For there to be three Jamaicas, all preceded by Guadeloupes, and a Trinidad on week 7, the voyage must be GJGJGJT. This does not have one visit to Martinique, let alone two!

And that's all of them!

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13 hours ago, ChefGuevara said:

Are these lsat questions or something lol 

They are LSAT questions. 

Did you take the LSATs? Usually the only people who know that are people have taken the LSATs.

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Oh no, I just knew a guy who wanted to be a lawyer, and asked a teacher of ours to help him prep for the exam, so before class everyday he would have some lsat prep questions set up for him on the projector. Since it was on the projector we would all try and answer, it was kinda fun actually, good brain teasers 

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12 hours ago, Shoblongoo said:

Its all fun and games when you're not under a time crunch.

When you sit for the LSAT, you have to clear 8 Scenarios in 70 minutes.  (its a lot harder than it sounds) 

OK, it looks like the strategy I used (which was basically brute force) wouldn't work. Though, I did go the extra mile of explaining my answers, instead of just picking the right ones (which probably would have halved the amount of work required!)

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