Question:

The question below has two statements, I and Impark your answer as
There are three sets A, B and C. Find A\( \cap\) (B \( \cap\) C).
I. A \(\cup\) B and A  \(\cup\) C are known.
II. A \(\cap\) B and A \(\cap\) C are known.

Updated On: Sep 25, 2024
  • Question can be answered by using any one statement alone, but not by using other statement alone.
  • Question can be answered by using either of the statements alone.
  • Question can be answered by using both the statements together, but it cannot be answered by using either of the statements alone.
  • Question cannot be answered even by using both the statements together.
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The Correct Option is A

Solution and Explanation

Here, in this question we say that
A ∩ (B ∩ C) = (A ∩ B) ∪(A ∩ C)
So, for answering this question we need to know the value of both (A ∩ B) and (A ∩ C) to find the solution, which is given only in statement II.
So, we can say that this question can be answered by only second statement.
The correct option is (A)
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