Q. What rule of inference is used in this argument?

“If I go for a balanced diet, then I will be fit. If I will be fit, then I will remain healthy. Therefore, if I go for a balanced diet, then I will remain healthy.”

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Q. What rules of inference are used in this argument?

“All students in this science class has taken a course in physics” and “Marry is a student in this class” imply the conclusion “Marry has taken a course in physics.”

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Q. What rules of inference are used in this argument?

“It is either colder than Himalaya today or the pollution is harmful. It is hotter than Himalaya today. Therefore, the pollution is harmful.”

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Q. The premises (p ∧ q) ∨ r and r → s imply which of the conclusion?

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Q. What rules of inference are used in this argument?

“Jay is an awesome student. Jay is also a good dancer. Therefore, Jay is an awesome student and a good dancer.”

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Q. “Parul is out for a trip or it is not snowing” and “It is snowing or Raju is playing chess” imply that __________

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Q. Let the statement be “If n is not an odd integer then square of n is not odd.”, then if P(n) is “n is an not an odd integer” and Q(n) is “(square of n) is not odd.” For direct proof we should prove _________

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Q. Which of the following can only be used in disproving the statements?

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Q. Let the statement be “If n is not an odd integer then sum of n with some not odd number will not be odd.”, then if P(n) is “n is an not an odd integer” and Q(n) is “sum of n with some not odd number will not be odd.” A proof by contraposition will be ________

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Q. When to proof P→Q true, we proof P false, that type of proof is known as ___________

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Q. In proving √5 as irrational, we begin with assumption √5 is rational in which type of proof?

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Q. A proof covering all the possible cases, such type of proofs are known as ___________

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Q. Which of the arguments is not valid in proving sum of two odd number is not odd.

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Q. A proof broken into distinct cases, where these cases cover all prospects, such proofs are known as ___________

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Q. A proof that p → q is true based on the fact that q is true, such proofs are known as ___________

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Q. A theorem used to prove other theorems is known as _______________

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