Let us draw a table consisting the day and competition.
| Day | Competition |
|---|
| 19th Oct, Wednesday | |
| 20th Oct, Thursday | |
| 21st Oct, Friday | |
| 22nd Oct, Saturday | |
| 23rd Oct, Sunday | |
| 24th Oct, Monday | |
| 25th Oct,Tuesday | |
| 26th Oct, Wednesday | |
In statement 5, it is given that none of the competition was conducted on Thursday and Sunday. Also, Street Play competition was held on Monday.
| Day | Competition |
|---|
| 19th Oct, Wednesday | |
| 20th Oct, Thursday | None |
| 21st Oct, Friday | |
| 22nd Oct, Saturday | |
| 23rd Oct, Sunday | None |
| 24th Oct, Monday | Street Play |
| 25th Oct,Tuesday | |
| 26th Oct, Wednesday | |
It is given that Group Song competition was conducted neither on Wednesday nor on Saturday. Hence, the Group Song competition can take place on either Tuesday or Friday. We are also given that there was gap of two days between Debate competition and Group Song competition.
If the Group Song competition is on Friday, then Debate competition should take place in 24th Oct, Monday but that slot is already filled. Hence, this case is not possible. Therefore, we can say that Group Song competition was on Tuesday. Consecutively, we can say that the Debate competition was on Saturday.
| Day | Competition |
|---|
| 19th Oct, Wednesday | |
| 20th Oct, Thursday | None |
| 21st Oct, Friday | |
| 22nd Oct, Saturday | Debate |
| 23rd Oct, Sunday | None |
| 24th Oct, Monday | Street Play |
| 25th Oct,Tuesday | Group Song |
| 26th Oct, Wednesday | |
Rock band competition was not conducted on the closing day. Hence, we can say that Rock Band competition took place on either 19th Oct or 21st Oct.
It is also given that Fash-p was conducted on the day prior to debate competition. Hence, we can say that Fash-P was conducted on 21st Oct Friday. Consequently, we can say that Rock Band competition took place on 19th Oct Wednesday.
Also, we can say that folk dance competition held on 26th Oct.
| Day | Competition |
|---|
| 19th Oct, Wednesday | Rock Band |
| 20th Oct, Thursday | None |
| 21st Oct, Friday | Fash-p |
| 22nd Oct, Saturday | Debate |
| 23rd Oct, Sunday | None |
| 24th Oct, Monday | Street Play |
| 25th Oct,Tuesday | Group Song |
| 26th Oct, Wednesday | Folk Dance |
From the table, we can see that the cultural week started with Rock Band. Hence, option D is the correct answer.