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Q. 131) consider the four tsatements: 1.(p→q) ٨(p٨~q) 2.(~p→r)٨(p↔q) 3.p→(~qVr) 4.~(p٨q) V (p↔q) Which one of these four ststements is a tautology.
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Q. 132) In above question which statement is contradiction.
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Q. 133) Which of the following sets are equal. 1. {p,q,m,n} 2.{m,p,n,q} 3.{q,p,p,m,m,p,n} 4.{p,q,n,,n,m}
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Q. 134) Consider the set A={{1,3,5},{7,9,11},{13,15}} then determine which of the following is/are true. 1.1ЄA 2.{{1,3,5}} CA 3. Ф subet of A 4. A
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Q. 135) Determine the validity of the following argument: S1: all my friends are musicians. S2: John is my friend. S3: None of my neighbours are musicians. S: John is not my neighbour.
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Q. 136) In a survey of 60 people , it was found that: 25 read Newsweek magzine. 26 read Time 26 read Fortune 9 read both newsweek and fortune 11 read both Newsweek and Time 8 read both Time and Fortune 3 read all 3 magzines. 1. Find the number of people who read at least one of the three magzines
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Q. 137) In above Q.78 Find the number of people who read exactly 1 magzine.
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Q. 138) Let p be “He is tall” and let q “He is handsome”. Then the statement “It is false that he is short or handsome” is:
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Q. 139) Let P(S) denotes the powerset of set S. Which of the following is always true?
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Q. 140) Which of the following proposition is a tautology?
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