Six people - P, Q, R, S, T and U - sit around a circular table, not necessarily in the same order. Q and T sit opposite to each other. Does R sit opposite to S?
I. If R and T interchange their positions, then T will be to the immediate left of Q.
II. If P and Q interchange their positions, then Q will be to the immediate left of T.
If the question can be answered by using both the statements together, but cannot be answered by using either statement alone.
Given that Q and T sit opposite to each other.
As per statement (I) alone, we get that R is to the immediate left of Q.
Hence, from statement (I) alone, we cannot say whether R sits opposite to S or not.
From statement (II) alone, we get P is to the immediate left of T.
So, statement (II) alone is not sufficient. Combining statement (I) and (II) we get.
P and R are opposite to each other. So, we can determine that R does not sit opposite to S.
Hence, both statements are required.