Three Indian Media houses N, Q and R have nine TV channels in all.  The nine TV channels are C1, C2, …, C9. Media house N and Q have 3 and 4 channels respectively.(i) If C1 is not a channel of media house R then C5 is a channel of media house N.(ii) If C8 is a channel of media house N then C5 is a channel of media house R.(iii) Both C5 and C6 are channels of same media house.(iv) If C2 is not a channel of media house Q, then C8 is also not a channel of media house Q.(v) Both C8 and C9 are channels of same media house.(vi) C3 and C7 are channels of media houses Q and N in some order.(vii) If C2 is a channel of media house Q then C4 is a channel of media house Q. Question 16If C3 is a channel of media house Q, then which of the following are channels of media house Q?

From the given conditions, we can deduce the following:

1. If C3 is a channel of media house Q, then from condition (vi), C7 is a channel of media house N.
2. If C2 is not a channel of media house Q, then from condition (iv), C8 is also not a channel of media house Q. But we don't know whether C2 is a channel of media house Q or not.
3. If C2 is a channel of media house Q, then from condition (vii), C4 is also a channel of media house Q. But again, we don't know whether C2 is a channel of media house Q or not.
4. From condition (v), both C8 and C9 are channels of the same media house. But we don't know which media house they belong to.
5. From condition (iii), both C5 and C6 are channels of the same media house. But we don't know which media house they belong to.
6. From condition (i) and (ii), if C1 is not a channel of media house R then C5 is a channel of media house N and if C8 is a channel of media house N then C5 is a channel of media house R. But we don't know whether C1 is a channel of media house R or not and whether C8 is a channel of media house N or not.

So, without more information, we cannot definitively say which channels belong to media house Q.