x, y, and z are three positive odd integers, Is x+z divisible by 4?
I. y - x = 2
II. z - y = 2
If only first statement taken into consideration:
y-x = 2 where x, y and z are three odd integers.
Nothing absolute can be said about divisibility of x+z with 4.
Now if only second statement taken into consideration :
z-y=2 and nothing absolute can be said about divisibility of x+z with 4.
If we consider both statement simoultaneously then
we get x+z = 2y
Now as we know y is an odd integer , so 2y will never get a factor of 4.
Hence x+z is not divisible by 4.
As we find an absolute answer by using both statements Hence answer will be C)
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