Analytical Reasoning : The Resource Center Analytical Reasoning
Types of Reasoning : The Resource Center Types of Reasoning Conditional
Map
Assignments
Rule Symbols : The Resource Center Rule Symbols A radio station will air programs A,B... F, Monday through Friday, with the following restrictions
Program A must be aired before Program B : The Resource Center A ? B Program A must be aired before Program B
Programs C and D must be aired on consecutive evenings : The Resource Center C ? D Programs C and D must be aired on consecutive evenings
Program E can not be aired on the second day. : The Resource Center M T W T F
~ E Program E can not be aired on the second day.
If Program A is aired, then program B must be aired : The Resource Center A ? B If Program A is aired, then program B must be aired
If Program A is aired, then program B must not be aired : The Resource Center A ? ~B If Program A is aired, then program B must not be aired
Rules Quiz : The Resource Center If A ? B, then B ? A?
Not necessarily
If A ? B, then ~B ? ~A?
Yes Rules Quiz
If A and B are both aired, then C cannot be aired. : The Resource Center A & B ? ~C If A and B are both aired, then C cannot be aired.
If C is aired, either D or E must be aired. : The Resource Center C ? D / E If C is aired, either D or E must be aired.
Either A or B must be aired, but they both cannot be aired. : The Resource Center A / B ? ~ B / ~ A, Either must Either A or B must be aired, but they both cannot be aired.
Conditional Games : The Resource Center Conditional Games
Athletes in a meet : The Resource Center If A competes, B must compete.
If B and C compete, D cannot compete.
If C and D both compete, F cannot compete. Athletes in a meet
Athletes in a meet : The Resource Center If D competes, either E or G must compete.
Either E or F must compete, but they cannot both compete.
E and G cannot both compete Athletes in a meet
Symbolize clues : The Resource Center 1. A ? B, ?~B ? ~A
2. B & C ? ~D,
? D ? ~ (B & C)
3. C & D ? ~F,
? F ? ~ (C & D) Symbolize clues
Symbolize clues : The Resource Center 4. D ? E / G,
? ~E / ~G ? ~D
5. E ? ~F, F ? ~E, Either must
6. E ? ~G, ? G ? ~E Symbolize clues
If only 3 compete, which could be that group? : The Resource Center (A) A, B and C
(B) B, E and G
(C) B, E and F
(D) C, D and E
(E) C, D and F If only 3 compete, which could be that group?
Slide 19 : The Resource Center A, B, C. Either E/F must.
B, E, G E ? ~G
B, E, F E ? ~F,
C, D, E Right
C, D, F C & D ? ~F
If D & G both compete, what must be true? : The Resource Center (A) C competes.
(B) E competes.
(C) F competes.
(D) A does not compete.
(E) B does not compete. If D & G both compete, what must be true?
Map Quizzes : The Resource Center Map Quizzes
Slide 22 : The Resource Center 1. Messages can be sent in either direction between G & H, J & M, and K & L.
2. Messages can be sent from F to K, from H to J, from K to G, from M to F, and from M to H.
Step 1 - Draw the map : The Resource Center Step 1 - Draw the map Using statement 1
Using statement 2 : The Resource Center F Using statement 2
Which terminal can transmit to the greatest number of terminals? : The Resource Center M Which terminal can transmit to the greatest number of terminals?
In traveling from G to K, how many terminals other than G & K are involved? : The Resource Center In traveling from G to K, how many terminals other than G & K are involved?
Assignment games : The Resource Center Assignment games
Six books — on History, English, Algebra, Ceramics, Spanish, and Philosophy — are arranged on a shelf, with a bookend at either end. : The Resource Center Six books — on History, English, Algebra, Ceramics, Spanish, and Philosophy — are arranged on a shelf, with a bookend at either end.
Slide 29 : The Resource Center The History book is next to a bookend.
The English book is next to the Algebra book.
At least one book separates the English and Ceramic books, and the English and Spanish books.
Slide 30 : The Resource Center The Ceramics book and the Spanish book are next to each other.
At least two books separate the English and Philosophy books.
Step 1 - Framework : The Resource Center End 1 2 3 4 5 6 End Step 1 - Framework
Step 2 - Symbolize the clues : The Resource Center 1. Bookend ? H
2. E ? A
3. NOT E ? C, NOT E ? S
4. S ? C
5. NOT E ? P, NOT E – P Step 2 - Symbolize the clues
If H is next to E, what must be true? : The Resource Center (A) P is next to a bookend.
(B) C is next to a bookend.
(C) S is next to A
(D) P is next to C
(E) A is next to C If H is next to E, what must be true?
put History next to either of the bookends : The Resource Center put History next to either of the bookends End 1 2 3 4 5 6 End H
History book is next to the English book : The Resource Center History book is next to the English book End 1 2 3 4 5 6 End H E
E ? A : The Resource Center E ? A End 1 2 3 4 5 6 End H E A
NOT E ? P, NOT E – P : The Resource Center NOT E ? P, NOT E – P End 1 2 3 4 5 6 End H E A S/C
S ? C : The Resource Center S ? C End 1 2 3 4 5 6 End H E A S/C C/S
Only book that remains is P : The Resource Center Only book that remains is P End 1 2 3 4 5 6 End H E A S/C S/C P
Which of the following books can be next to a bookend? : The Resource Center Which of the following books can be next to a bookend? I. Philosophy
II. English
III. Ceramics
Assignment - 2 D Grid : The Resource Center Assignment - 2 D Grid
On a train the staff were the guard, the TC and the driver. Their names listed alphabetically are A, B and C. There are also 3 passengers with names Mr. A, Mr. B and Mr. C. The following facts are known: : The Resource Center On a train the staff were the guard, the TC and the driver. Their names listed alphabetically are A, B and C. There are also 3 passengers with names Mr. A, Mr. B and Mr. C. The following facts are known:
Mr. B lives in Delhi : The Resource Center Mr. B lives in Delhi The guard lives halfway between Chandigarh and Delhi
Mr. A earns exactly Rs. 200,000 a year.
C once beat the TC in snooker.
The guard’s next door neighbor, one of the three passengers mentioned, earns exactly three times as much as the guard : The Resource Center The guard’s next door neighbor, one of the three passengers mentioned, earns exactly three times as much as the guard The passenger living in Chandigarh has the same name as the guard.
What is the driver’s name?