Six lectures A, B, C, D, E and F, each of one hour duration, are scheduled between 8:00 a.m. and 2:00 p.m.
Consider the Question and two Statements given below :
Question : Which lecture is in the third period?
Statement-1 : Lecture F is preceded by A and followed by C.
Statement-2 : There is no lecture after lecture B.
Which one of the following is correct in respect of the Question and the Statements?

Correct Option: Both Statement-1 and Statement-2 are not sufficient to answer the Question

We have 6 lectures (A, B, C, D, E, F) scheduled between 8:00 a.m. and 2:00 p.m. (6 consecutive one-hour periods). We need to find which lecture is in the third period. Statement-1: Lecture F is preceded by A and followed by C (Sequence: A, F, C). Statement-2: There is no lecture after lecture B (B is in the 6th period). Let us examine if both statements together are sufficient: From Statement-2, B is 6th. From Statement-1, the sequence A-F-C must occupy 3 consecutive slots. The remaining slots for D and E must be filled, but their exact positions relative to the block A-F-C and B are not uniquely constrained (for example, D, E, A, F, C, B vs E, D, A, F, C, B both satisfy the conditions). Therefore, the exact lecture in the third period cannot be uniquely determined. Hence, option (d) is correct.