If x, y and z are positive integers, is xz even?
1) xy is even
2) yz is even
missing somethin?
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Last edited by magical cook on Sat Jan 05, 2008 8:55 pm, edited 1 time in total.
- hemanth28
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how did you conclude C....both conditions together are not sufficiant for the response.
xy is even =>both x and y even (or) x even and y odd (or)x odd y even
yz is even =>both y and z even (or) y even and z odd (or)y odd z even
if you take the case that
i)(x odd and y even) and (y even and z odd ) = xz is odd
ii)for anyother case xz is even.
so you cant really conclude using both the statements together.
xy is even =>both x and y even (or) x even and y odd (or)x odd y even
yz is even =>both y and z even (or) y even and z odd (or)y odd z even
if you take the case that
i)(x odd and y even) and (y even and z odd ) = xz is odd
ii)for anyother case xz is even.
so you cant really conclude using both the statements together.
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