Check the validity of the following statement : If a, b are integers such that ab is odd, then both a and b are odd.

Check the validity of the following statement. If x and y are odd integers, then xy is an odd integer.

Check the validity of the following statement: “Square of an integer is positive or negative”

Check the validity of the following statement: 'Square of an integer is positive or negative' .

Check the validity of the following statement " Square of an integer is positive or negative " .

Check the validity of the following statement p : 77 is a multiple of 11 or 7

Check the validity of the following statement: q : 125 is a multiple of 5 and 7.

Check the validity of the following statement: p : 100 is a multiple of 4 and 5.

Check the validity of the following statement: r : 60 is a multiple of 3 or 5.

Check whether the following statement is true and false by proving its contrapositive if x , y are integers such that x y is odd then both x\ a n d\ y are odd integers.

Write the converse of the following statements: (i)If two integers a\ a n d\ b are such that a > b then a-b is always a positive integer. (ii)If x is prime number, then x is odd. (iii)If two lines are parallel, then they do not intersect in the same place.