CAT Quant Practice Problems

Question: x, y, and z are three positive odd integers, Is x + z divisible by 4?

I. y – x = 2.

II. z – y = 2.


  1. If the question can be answered with the help of statement I alone,
  2. If the question can be answered with the help of statement II alone,
  3. If both, statement I and statement II are needed to answer the question, and
  4. If the statement cannot be answered even with the help of both the statements.

Correct Option:3

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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