The question below is followed by two statements numbered I and II. Decide whether the data given in the statements are sufficient to answer the question.
How many visitors saw the exhibition yesterday?
I. Each entry pass holder can take up to three persons with him or her.
II. In all, 243 passes were sold yesterday.
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → Neither statement I nor statement II is sufficient, even together.
In data sufficiency, a statement is sufficient only if it leads to one definite answer; each statement is first tried alone, then the two together.
Statement I alone:
It gives the limit per pass but not the number of passes: not sufficient
Statement II alone:
It gives 243 passes but not how many persons came on each pass: not sufficient
Both together:
Each pass brings the holder and up to three others, that is, 1 to 4 persons
Visitors could be anything from 243 to \(243\times4=972\), so there is no single figure: not sufficient even together