x, y, and z are integers, is xz even? 1) xy is even 2) yz is

Question

x, y, and z are integers, is xz even?

1) xy is even
2) yz is even

ipc302 · Answer

E 

xy even means either x even y odd or x odd or y even 

yz even means either y even z odd or y odd or z even 


taking both if y is even in both case xz will be odd 
and if any x or z is even the xz will be even 

so insufficient data . Ans E

Professor · Answer

E too. if only y is even.

jaynayak · Answer

E for me too.

1) xy = even, hence x can be odd or even. We don't know what z is hence cannot say whther xz is even or odd.

2)yz is even. Again no idea about x

Both;
xy =even and yz is even But anynumber can be even or odd. so cannot conclusively say if xz is even or odd

mahesh004 · Answer

The answer is E.

if y is even then xy and yz will always be even.

So it doesn't provide any information about x and z.

x, y, and z are integers, is xz even? 1) xy is even 2) yz is

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