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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.

  1. Unless students are agree, the class will continue and Institute will remain open.
    1. Students are agree it implies that either class will not continue or institute will not close.
    2. The class will not continue or the institute is closed implies that students are agree.
    3. Students are not agree and the class will not continue implies that institute will remain closed.
    4. 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)



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