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Analytical Reasoning

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Types of Reasoning

Conditional

Map

Assignments

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Rule Symbols

A radio station will air programs A,B... F, Monday through Friday, with the following

restrictions

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A B

Program A must be aired before Program B

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C D

Programs C and D must be aired on consecutive evenings

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M T W T F

~ E

Program E can not be aired on the second day.

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A B

If Program A is aired, then program B must be aired

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A ~B

If Program A is aired, then program B must not be aired

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If A B, then B A?

Not necessarily

If A B, then ~B ~A?

Yes

Rules Quiz

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A & B ~C

If A and B are both aired, then C cannot be aired.

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C D / E

If C is aired, either D or E must be aired.

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A / B ~ B / ~ A, Either must

Either A or B must be aired, but they both cannot be aired.

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Conditional Games

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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

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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

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1. A B, ~B ~A

2. B & C ~D,

D ~ (B & C)

3. C & D ~F,

F ~ (C & D)

Symbolize clues

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4. D E / G,

~E / ~G ~D

5. E ~F, F ~E, Either must

6. E ~G, G ~E

Symbolize clues

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(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?

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• 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

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(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?

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Map Quizzes

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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.

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Step 1 - Draw the map

G H

M J

K L

Using statement 1

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F

G H

M J

K L

Using statement 2

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M

Which terminal can transmit to the greatest number of terminals?

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In traveling from G to K, how many terminals other than G & K are involved?

L

G H

M J

KF

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Assignment games

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Six books — on History, English, Algebra,

Ceramics, Spanish, and Philosophy — are

arranged on a shelf, with a bookend at either end.

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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.

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The Ceramics book and the Spanish book are next to each other.

At least two books separate the English and Philosophy books.

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End 1 2 3 4 5 6 End

Step 1 - Framework

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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

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(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?

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put History next to either of the bookends

End 1 2 3 4 5 6 EndH

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History book is next to the English book

End 1 2 3 4 5 6 EndH E

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E A

End 1 2 3 4 5 6 EndH E A

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NOT E P, NOT E – P

End 1 2 3 4 5 6 EndH E A S/C

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S C

End 1 2 3 4 5 6 EndH E A S/C C/S

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Only book that remains is P

End 1 2 3 4 5 6 End H E A S/C S/C P

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Which of the following books can be next to a

bookend?

I. Philosophy

II. English

III. Ceramics

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Assignment - 2 D Grid

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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:

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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.

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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?