From I and II together:
R will give lecture on 24th August. Two persons will give lecture in between R and D. D and A will give lectures in the same month. N will give lecture immediately after A.
| Date | Professor |
| 23 August | |
| 24 August | R |
| 23 September | |
| 24 September | |
| 23 October | D |
| 24 October | A |
| 23 November | N |
| 24 November | |
S will give lecture before G but not immediately. N will give lecture after U. G is not the last one to give the lecture.
| Date | Professor |
| 23 August | S |
| 24 August | R |
| 23 September | G/U |
| 24 September | U/G |
| 23 October | D |
| 24 October | A |
| 23 November | N |
| 24 November | |
Hence, N will give lecture in November.
So, statements I and II together are sufficient.
From I and III together:
S will give lecture before G but not immediately. Two persons will give lecture between S and U. G will give lecture immediately before U. N will give lecture after U.
| Date | Case 1 | Case 2 | Case 3 | Case 3 |
| 23 August | S | | | |
| 24 August | | S | | |
| 23 September | G | | S | |
| 24 September | U | G | | S |
| 23 October | | U | G | |
| 24 October | | | U | G |
| 23 November | | | | U |
| 24 November | | | | N |
D and A will give lectures in the same month.
| Date | Case 1 | Case 2 | Case 3 | Case 3 |
| 23 August | S | | | |
| 24 August | | S | | |
| 23 September | G | | S | |
| 24 September | U | G | | S |
| 23 October | | U | G | |
| 24 October | | N | U | G |
| 23 November | | D | | U |
| 24 November | | A | | N |
So, statements I and III together are not sufficient.
From II and III together:
Two persons will give lecture in between R and D. R will give lecture on 24th August.
| Date | Professor |
| 23 August | |
| 24 August | R |
| 23 September | |
| 24 September | |
| 23 October | D |
| 24 October | |
| 23 November | |
| 24 November | |
Two persons will give lecture between S and U. G will give lecture immediately before U.
| Date | Case 1 | Case 2 | Case 3 |
| 23 August | S | | |
| 24 August | R | R | R |
| 23 September | G | G | |
| 24 September | U | U | S |
| 23 October | D | D | D |
| 24 October | | | G |
| 23 November | | S | U |
| 24 November | | | |
N will give lecture immediately after A. So, cases 2 and 3 are invalid.
N and D will give lectures in different months.
| Date | Case 1a | Case 1b |
| 23 August | S | S |
| 24 August | R | R |
| 23 September | G | G |
| 24 September | U | U |
| 23 October | D | D |
| 24 October | A | |
| 23 November | N | A |
| 24 November | | N |
So, statements II and III together are not sufficient.
Study Notes
Category
