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Write the component statements of the following compound statements and check whether the compound statement is true or false. 57 is divisible by 2 or 3.

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Question

Write the component statements of the following compound statements and check whether the compound statement is true or false.

57 is divisible by 2 or 3.

Options

  • True

  • False

MCQ
True or False
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Solution

This statement is True.

Explanation:

Here the given statement is the form p v q which has the truth value T whenever either p or q or both have the truth value T.

Hence, it is a true statement and its component statements are

p: 57 is divisible by 2.   ......(False)

q: 57 is divisible by 3.  ......(True)

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Chapter 14: Mathematical Reasoning - Exercise [Page 262]

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NCERT Exemplar Mathematics Exemplar [English] Class 11
Chapter 14 Mathematical Reasoning
Exercise | Q 3.(i) | Page 262

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