Home » Verbal Reasoning » Logical Connectivity » Question

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 teacher is agree, the class will continue and three will be a test.
    1. Teacher is agree it implies that either class will not continue or there will not be a test.
    2. The class will not continue or there is a test implies that teacher is agree.
    3. Teacher is not agree and the class will not continue implies that there will be a test.
    4. None of these
Correct Option: B

This belongs to Type 3: "Unless X, Y and Z"
this statement implies that:
(~ X → Y or Z)
(~ Y or/and ~ Z → X) Given in option (B)



Your comments will be displayed only after manual approval.