Prove that if x and y are odd positive integers , then `x^2 +y^2` is even but not divisible by 4.

Prove that if xa n dy are odd positive integers, then x^2+y^2 is even but not divisible by 4.

Prove that if x and y are both odd positive integers then x^(2) + y^(2) is even but not divisible by 4

Prove that if x and y are both odd positive Integers, then x^(2) + y^(2) is even but not divisible by 4.

If x and y are positive integers and (2x +y) is even, which of the following must be even ?

Consider the following statements in respect of positive odd integers x and y : 1. x^2 +y^2 is even integer. 2. x^2+y^2 is divisible by 4. Which of the above statements is/are correct ?

prove that the compound statement " if x and y are odd integers , then xy is and odd integer " is valid using contrapositive method

prove that the compound statement " if x and y are odd integers , then xy is and odd integer " is valid using direct method

If x and y are positive integers such that 1994=(x+y)^(2)+3x+y, find y.

Prove that relation define on positive integers such as R={(x,y):x-y is divisible by 3 where x,y in N} is an equivalence relation.