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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