16:I[8216,["972","static/chunks/972-b28da0de92681928.js","47","static/chunks/47-a7f06e9eda1ac756.js","115","static/chunks/app/%5Bexam%5D/questions/%5Byear%5D/%5Bsubject%5D/%5Bchapter%5D/%5BquestionId%5D/page-7b6f0a12b9cc0206.js"],"BackButton"] 17:I[1553,["972","static/chunks/972-b28da0de92681928.js","47","static/chunks/47-a7f06e9eda1ac756.js","115","static/chunks/app/%5Bexam%5D/questions/%5Byear%5D/%5Bsubject%5D/%5Bchapter%5D/%5BquestionId%5D/page-7b6f0a12b9cc0206.js"],"QuestionViewer"] 15:T52c,{"@context":"https://schema.org","@type":"Quiz","name":"Mht Cet 2026 Mathematical Reasoning PYQ with Solution","url":"https://pyq-test-series-platform-alsjdcxu2-sameers-projects-41c5a71e.vercel.app/mht-cet/questions/2026/mathematics/mathematical-reasoning/jt-mr4okodd","educationalLevel":"Entrance exam preparation","about":"Mht Cet / Mathematics / Mathematical Reasoning","hasPart":{"@type":"Question","name":"Mht Cet 2026 Mathematical Reasoning PYQ with Solution","text":"The statements p, q and r have truth values True, False and False respectively. The truth values of a logical statement [\\sim(p \\wedge \\sim q) \\vee (q \\vee \\sim r)] and its dual are, respectively.....","eduQuestionType":"mcq","acceptedAnswer":{"@type":"Answer","text":"B"},"comment":{"@type":"Comment","text":"Given truth values are: p = T,\\quad q = F,\\quad r = F The statement is: [\\sim(p \\wedge \\sim q) \\vee (q \\vee \\sim r)] First find the needed negations: \\sim q = T,\\quad \\sim r = T Now, p \\wedge \\sim q = T \\wedge T = T So, \\sim(p \\wedge \\sim q) = \\sim T = F Also, q \\vee \\sim r = F \\vee T = T Hence the given statement becomes: F \\vee T = T So, the truth value of the given statement is True . Now find its dual. To form the dual, interchange \\wedge and \\vee. So the dual of [\\sim(p \\wedge \\sim q) \\vee..."}}}18:T466,

Given truth values are:

$$p = T,\quad q = F,\quad r = F$$

The statement is:

$$[\sim(p \wedge \sim q) \vee (q \vee \sim r)]$$

First find the needed negations:

$$\sim q = T,\quad \

Mathematical Reasoning

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