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JEE MATHEMATICS MCQ: MATHEMATICAL REASONING

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Analyzing +4 | -1
If p:4p:4 an even prime number q:6q:6 is a divisor of 12 and r:r: the HCF of 4 and 6 is 2, then which one of the following is true?
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Correct option: D
∼p∨(q∧r)\sim p \vee \left( {q \wedge r} \right)
Option D (∼p∨(q∧r)\sim p \vee (q \wedge r)) is true because pp is false, qq is true, and rr is true, making the disjunction true.

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