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.
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Unless students are agree, the class will continue and Institute will remain open.
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- Students are agree it implies that either class will not continue or institute will not close.
- The class will not continue or the institute is closed implies that students are agree.
- Students are not agree and the class will not continue implies that institute will remain closed.
- None of these.
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)