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 it is a holiday then Suvrojyoti will play cricket or will watch movie.
-
- It is not a holiday then Suvrojyoti will not play cricket and will not watch movie.
- If it is not a holiday and Suvrojyoti is not playing cricket then he will watch movie.
- It is a holiday then Suvrojyoti will not play cricket and will not watch movie.
- None of these
Correct Option: B
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 (B)
