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Name the technique used in the solution of the problems below :
Question: Show that the following statement is false: If n is an odd integer, then n is prime.
Solution: The given statement is in the form “if p then q” we have to show that this is false, If p then ~q.
n= 99 is odd integer which is not a prime number. Thus, we conclude that the given statement is false.
  • a)
    Counter example
  • b)
    Contrapositive method
  • c)
    Direct method
  • d)
    By Contradiction
Correct answer is option 'A'. Can you explain this answer?
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Name the technique used in the solution of the problems below :Questio...
Here n = 99 is a counter example of the given statement.
Therefore,
Option A
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Name the technique used in the solution of the problems below :Questio...
Here n = 99 is a counter example of the given statement.
Therefore,
Option A
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Name the technique used in the solution of the problems below :Question: Show that the following statement is false: If n is an odd integer, then n is prime.Solution: The given statement is in the form “if p then q” we have to show that this is false, If p then ~q.n= 99 is odd integer which is not a prime number. Thus, we conclude that the given statement is false.a)Counter exampleb)Contrapositive methodc)Direct methodd)By ContradictionCorrect answer is option 'A'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Name the technique used in the solution of the problems below :Question: Show that the following statement is false: If n is an odd integer, then n is prime.Solution: The given statement is in the form “if p then q” we have to show that this is false, If p then ~q.n= 99 is odd integer which is not a prime number. Thus, we conclude that the given statement is false.a)Counter exampleb)Contrapositive methodc)Direct methodd)By ContradictionCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Name the technique used in the solution of the problems below :Question: Show that the following statement is false: If n is an odd integer, then n is prime.Solution: The given statement is in the form “if p then q” we have to show that this is false, If p then ~q.n= 99 is odd integer which is not a prime number. Thus, we conclude that the given statement is false.a)Counter exampleb)Contrapositive methodc)Direct methodd)By ContradictionCorrect answer is option 'A'. Can you explain this answer?.
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