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.

• A. Question can be answered by using any one statement alone, but not by using other statement alone.
• B. Question can be answered by using either of the statements alone.
• C. Question can be answered by using both the statements together, but it cannot be answered by using either of the statements alone.
• D. Question cannot be answered even by using both the statements together.

Answer 1

Answer: (A)

Question can be answered by using any one statement alone, but not by using other statement alone.

Answer 2

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)