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.

  1. If you study then you will pass the exam and will get a good girlfriend .









  1. View Hint View Answer Discuss in Forum

    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

    Correct 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


  1. Unless students are agree, the class will continue and Institute will remain open.









  1. View Hint View Answer Discuss in Forum

    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)



  1. If Ricky singh is not at Pioneer Career then he is at his sleeping or watching movie.









  1. View Hint View Answer Discuss in Forum

    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)


  1. If it is not raining then I will not walk slow but I will walk at least 4 km.









  1. View Hint View Answer Discuss in Forum

    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)



  1. Only if it is a national holiday, Pioneer career is not open and employee enjoy together.









  1. View Hint View Answer Discuss in Forum

    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)