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FY SET1R1 Mathematics (April 2025)

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Company A produces 10% defective products; Company B produces 20% defective products and C produces 5% defective products. If choosing a company is an equally likely event, then find the probability that the product chosen is defective.

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Which arguments are not valid?

(1) [(p

q)

~

q]

~

p                 

(2) [(p q

)

~

p]

~

q

(3) [(p

q) q] p                          

(4) [(p

q) p

]

q

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The counter example of the statement ∀x∈A,x^2-1>7 where A={2,3,4,…,8,9} is

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Let p be “It rains.” and let q be “Mg Mg will be sick.” The argument “If it rains, then Mg Mg will be sick. Mg Mg was not sick. Therefore, it did not rain.” is
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Which compound propositions are logically equivalent.

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The Truth Value of (p↔ ~ q) is

p    q

~

q

(p ~ q)

T    T

F

-----

T    F

T

-----

F    T

F

-----

F    F

T

-----

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