CAT 1995 | Question: 93

Question

Each of these items has question followed by two statements. As the answer, mark

a. if the questions can be answered with the help of both the statements but not with the help of either statement itself.

b. if the question can not be answered even with the help of both the statements.

c. if the question can be answered with the help 0 statement $II$ alone

d. if the question can be answered with the help of statement $I$ alone

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

From statement A:- 

if xyz is odd then , then all the three numbers are odd and difference of two odds result into an even number. So, it is enough to deduce that z- x is even.

From statement B :-

Since, it is given that xy + yz + zx is even.

Then, either each one of xy, yz and zx is odd or even. So , nothing can be deduce from statement B.

Option D is the Correct Answer.