Logical Connectivity
Direction: Compound Statement:
Type 1: "If X then Y and Z"
This statement implies that:
(i) (X → Y and Z)
(ii) (~ Y or/and ~ Z → ~ X)
Type 2: "If X then Y or Z" or "Whenever X then Y or Z"
This statement implies that:
(i) (X → Y or Z)
(ii) (~ Y and ~ Z → ~ X)
(iii) X and ~ Y → Z)
(iv) X and ~ Z → Y)
Type 3: "Unless X , Y and Z" or "Either X or Y and Z"
This statement implies that:
(i) (~ X → Y or Z)
(ii) (~ Y or/and ~ Z → X)
Type 4: "Only if X then Y and Z"
This statement implies that:
(i) (Y and Z → X)
(ii) ( ~ X → ~ Y and/or ~ Z)
Each question consists of a main statement followed by 4 statements in the answer options. From the given options select the one that logically follow the main statement.
- If you study then you will pass the exam and will get a good girlfriend .
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This is of type 1:- "If X then Y and Z"
This statement implies that:
(i) (X → Y and Z)
(ii) (~ Y or/and ~ Z → ~ X) given in option BCorrect Option: B
This is of type 1:- "If X then Y and Z"
This statement implies that:
(i) (X → Y and Z)
(ii) (~ Y or/and ~ Z → ~ X) given in option B
- Unless students are agree, the class will continue and Institute will remain open.
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This belongs to Type 3:- "Unless X, Y and Z" This statement implies that:
(i) (~ X → Y or Z)
(ii) (~ Y or/and ~ Z → X) Given in option (B)Correct Option: B
This belongs to Type 3:- "Unless X, Y and Z" This statement implies that:
(i) (~ X → Y or Z)
(ii) (~ Y or/and ~ Z → X) Given in option (B)
- If Ricky singh is not at Pioneer Career then he is at his sleeping or watching movie.
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This is the situation of "If X then Y or Z" it implies that:
(i) (X → Y or Z)
(ii) (~ Y and ~ Z → ~ X)
(iii) (X and ~ Z → Y)
(iv) (X and ~ Y → Z) given in option (A)Correct Option: A
This is the situation of "If X then Y or Z" it implies that:
(i) (X → Y or Z)
(ii) (~ Y and ~ Z → ~ X)
(iii) (X and ~ Z → Y)
(iv) (X and ~ Y → Z) given in option (A)
- If it is not raining then I will not walk slow but I will walk at least 4 km.
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This is the situation of "If X then Y and Z" it implies that:
(i) (X → Y and Z)
(ii) (~ Y or/and ~ Z → ~ X ) given in option (C)Correct Option: C
This is the situation of "If X then Y and Z" it implies that:
(i) (X → Y and Z)
(ii) (~ Y or/and ~ Z → ~ X ) given in option (C)
- Only if it is a national holiday, Pioneer career is not open and employee enjoy together.
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This is the situation of "Only if X then Y and Z" it implies that:
(i) (Y and Z → X)
(ii) (~ X → ~ Y or/and ~ Z) given in option (C)Correct Option: C
This is the situation of "Only if X then Y and Z" it implies that:
(i) (Y and Z → X)
(ii) (~ X → ~ Y or/and ~ Z) given in option (C)