Q70.Consider the statement "The match will be played only if the weather is good and ground is not wet". Select the correct negation from the following: (1) The match will not be played and weather is not (2) If the match will not be played, then either good and ground is wet. weather is not good or ground is wet. (3) The match will be played and weather is not (4) The match will not be played or weather is good good or ground is wet. and ground is not wet.
What This Question Tests
This question evaluates the understanding of logical negation rules for compound statements involving conditional and conjunctive connectives.
Concepts Tested
Formulas Used
Negation of p → q is p ∧ ~q
Negation of p ∧ q is ~p ∨ ~q
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📋 Question Details
- Chapter
- Mathematical Reasoning
- Topic
- Negation of compound statements
- Year
- 2021
- Shift
- 25 Jul Shift 2
- Q Number
- Q70
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 14: Mathematical Reasoning
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