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x, y, and z are three positive odd integers, Is x+z divisible by 4?
I. y - x = 2
II. z - y = 2
The question can be answered with the help of statement I alone,
The question can be answered with the help of statement II alone,
Both, statement I and statement II are needed to answer the question, and
The statement cannot be answered even with the help of both the statements.
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 thenwe get x+z = 2yNow 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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