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Data Sufficiency.

Mark (a) If the question can be answered by using one of the statements alone, but cannot be answered by using the other statement alone.

Mark (b) If the question can be answered by using either statement alone.

Mark (c) If the question can be answered by using both statements together, but cannot be answered by using either statement alone.

Mark (d) If the question cannot be answered even by using both the statements together.

Three friends, P, Q and R are wearing hats, either black or white. Each person can see the hats of the other two persons. What is the colour of P’s hat?

A. P says that he can see one black hat and one white hat.

B. Q says that he can see one white hat and one black.

  1. If the question can be answered by using one of the statements alone, but cannot be answered by using the other statement alone.
  2. If the question can be answered by using either statement alone.
  3. If the question can be answered by using both statements together, but cannot be answered by using either statement alone.
  4. If the question cannot be answered even by using both the statements together.
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From statement A :-

Q - > black / white , R -> white / black.

From statement B :-

P- > black / white , R -> black / white.

Even on using both the statements, it is not clear what the color of P's hat is i.e P's hat color may be black or white. 

Option D is the Correct Answer.

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