Analytical Reasoning
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Transcript of Analytical Reasoning
Pratyush @ Toughest Questions
Rule Symbols
A radio station will air programs A,B... F, Monday through Friday, with the following
restrictions
Pratyush @ Toughest Questions
A / B ~ B / ~ A, Either must
Either A or B must be aired, but they both cannot be aired.
Pratyush @ Toughest Questions
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
Pratyush @ Toughest Questions
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
Pratyush @ Toughest Questions
1. A B, ~B ~A
2. B & C ~D,
D ~ (B & C)
3. C & D ~F,
F ~ (C & D)
Symbolize clues
Pratyush @ Toughest Questions
4. D E / G,
~E / ~G ~D
5. E ~F, F ~E, Either must
6. E ~G, G ~E
Symbolize clues
Pratyush @ Toughest Questions
(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?
Pratyush @ Toughest Questions
• 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
Pratyush @ Toughest Questions
(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?
Pratyush @ Toughest Questions
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.
Pratyush @ Toughest Questions
In traveling from G to K, how many terminals other than G & K are involved?
L
G H
M J
KF
Pratyush @ Toughest Questions
Six books — on History, English, Algebra,
Ceramics, Spanish, and Philosophy — are
arranged on a shelf, with a bookend at either end.
Pratyush @ Toughest Questions
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.
Pratyush @ Toughest Questions
The Ceramics book and the Spanish book are next to each other.
At least two books separate the English and Philosophy books.
Pratyush @ Toughest Questions
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
Pratyush @ Toughest Questions
(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?
Pratyush @ Toughest Questions
Which of the following books can be next to a
bookend?
I. Philosophy
II. English
III. Ceramics
Pratyush @ Toughest Questions
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:
Pratyush @ Toughest Questions
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.