Question

If x, y and z are real numbers, is z x even or odd? I. Xyz is odd. Ii. Xy + yz + zx is even.

Answer 1

if we consider a case of 3 real numbers as 1,2,3 here zx=3 which is odd again taking another condition 2,3,4 here zx =8 which is even ,taking a random another condition like 5,20,48 here zx=240 which even . so in all the coditions we come to know that zx wil even if the z or x is even .
xyz will odd if x,y,z is odd.
and last condtion will even if x,y or x,z even /y,x or y,z is even/ z,x or z,y is even
hope u got it