Question

How many people watched the film Devdas, in PVR today?
I.In the show $80\% $of the PVR seats were occupied.
II.The number of people who watched each of the $4$shows today is in arithmetic progression.

I.If the question can be answered by anyone of the statement alone, but cannot be answered by using the other statement alone.
II.If the question can be answered by using either statement alone.
III.If the question can be answered by using both the statements together, but cannot be answered by using either statement alone.
IV.If the question cannot be answered even by using both the statements together.

Answer 1

Hint: The given question asks us to answer the question using the statements I and II given below it, this question is type of data sufficiency questions, the question asks us to find the number of people who watched Devdas that day, the first and second statements will now be checked to see if we can answer the question using these statements.

Complete step-by-step answer:
The first statements although telling about the occupancy of the theatre does not give the total seats present in the theatre this means we cannot tell the number of people watching the movie, also the second statements tell there were $4$ shows that day but no other information is given about the total seat present in those shows, thus we cannot answer this question, even by using both the statements and hence we can sufficiently say the option D is correct in this case.
So, the correct answer is “Option D”.

Note: The above question could have been solved if we had been given the total number of seats in the theatre, say the total number seats were given as $100$, then we know that there were $4$shows, and there was $80\% $occupancy hence the people who watched the movie that day would have been,
$80 \times 4 = 320$,
But since no total seats were given the question as it is with these statements was not solved.