Q) The positive integers x,y and z are such that x is a factor of y and y is a factor of z.Is z even??
1) xz is even
2) y is even
Thanks
1) xz is even
2) y is even
Thanks
The answer should be D according to me.
See
X is a factor of Y
Y is a factor of Z
Now Statement 1:
xz is even
from the question it is clear that x is a factor of z.
So if X is even, then Z has to be even, hence XZ will be even.
Now if XZ is even and X is not even then Z has to be even
Hence Statement 1 is sufficient.
Statement 2:
Y is a factor of Z.
Hence if Y will be even then Z will surely be even.
Hence Statement 2 is sufficient.
Hence the answer shall be D
