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The Question Below Consists of a Main Statement Followed by Four Numbered Statements. from the Numbered If It is a Thursday, Then I Will Go to the Cinema Or I Will Sleep. - Logical Reasoning

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MCQ

The question below consists of a main statement followed by four numbered statements. From the numbered statements, select the one that logically follows the main statement.
If it is a Thursday, then I will go to the cinema or I will sleep.

Options

  • It is not a Thursday, implies that I am not going to cinema and I am not sleeping.

  • It is a Thursday and I am not sleeping means that I am going to cinema.

  • I am not going to cinema and I am sleeping, means that it is a Thursday.

  • None of these

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Solution

p - If It is a Thursday,
q - then I will go to cinema 
or r - I will sleep.
The implications of the above statements are
(i) p and ~q => r
(ii) p and ~r => q
(iii) ~q and ~ r => ~p.
Choice (2) is implication (ii). 
So, "It is a Thursday and I am not sleeping means that I am going to the cinema." is the correct option.

Concept: Statement and Assumption (Entrance Exam)
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