Suppose you are trying to prove the following Proposition by using contrapositiv

Question

Suppose you are trying to prove the following Proposition by using contrapositive proof: If n is a positive integer such that n 2 mod 4 or n 3 mod 4, then n is not a perfect square. Which of the followings should be the first sentence of your proof. Suppose n is a positive integer such that n 2 mod 4 or n 3 mod 4. Suppose n is a positive integer such that n 2 mod 4 and n 3 mod 4 Suppose n is not a perfect square. Suppose n is a perfect square. Suppose you are trying to prove the following Proposition by using contrapositive proof: If n is a positive integer such that n 2 mod 4 or n 3 mod 4, then n is not a perfect square. Which of the followings should be the last sentence of your proof. Therefore n 2 mod 4 or n 3 mod 4 Therefore n 2 mod 4 and n 3 mod 4 Therefore n = 0 mod 4 or n 1 mod 4 Therefore n 0 mod 4 and n 1 mod 4.

Explanation / Answer

3----------->d

4----------->a.

this both are for a same problem.for Q4 answer is a because clearly we start from proving from back..so finally (a).

For 3 ans.is d clearly because of contrapositive to negation approach is taken as our 1st step..so n is not pefect square changes to is a perfect square.

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