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MathsEasyMCQ2022 · 28 Jul Shift 2

Q65.Let p : Ramesh listens to music. q : Ramesh is out of his village r : It is Sunday s : It is Saturday Then the statement "Ramesh listens to music only if he is in his village and it is Sunday or Saturday" can be expressed as (1) ((~q) ∧(r ∨s)) ⇒p (2) (q ∧(r ∨s)) ⇒p (3) p ⇒(q ∧(r ∨s)) (4) p ⇒((~q) ∧(r ∨s))

What This Question Tests

This question tests the ability to translate a given English statement into its symbolic representation using logical connectives, particularly focusing on the 'only if' condition.

Concepts Tested

Conditional statement (if-then)Conjunction (and)Disjunction (or)Negation (not)

Formulas Used

p ⇒ q (p implies q)

p ∧ q (p and q)

p ∨ q (p or q)

~p (not p)

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📋 Question Details

Chapter
Mathematical Reasoning
Topic
Logical connectives
Year
2022
Shift
28 Jul Shift 2
Q Number
Q65
Type
MCQ
NCERT Ref
Class 11 Mathematics Ch 14: Mathematical Reasoning

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