Data Interpretation Discussion

**Common Information**

At a famous Wax museum, visitors are allowed to enter or exit the museum only once every hour. On any day the visitors can enter only at any of the five scheduled "let-in" timings — 11:00 a.m., 12:00 noon, 1:00 p.m., 2:00 p.m. and 3:00 p.m. and they can exit only at any of the five schedule "let-out" timings - 12:00 noon, 1:00 p.m., 2:00 p.m., 3:00 p.m. and 4:00 p.m.

The following pie charts give the distribution of all the 1200 visitors to the museum, on 15 August 2007. Pie chart - 1 shows the percentage distribution of the total number of visitors as per the time at which they entered the museum. Pie chart - 2 shows the percentage distribution of the total number of visitors as per the times at which they exited the museum. Each visitor stays in the museum for at least one hour and none of the visitors visit the museum more than once in the day.

Q. |
The number of visitors who stayed in the museum for at least three hours, is at most: |

✖ A. |
240 |

✖ B. |
300 |

✔ C. |
360 |

✖ D. |
420 |

**Solution:**

Option(**C**) is correct

Out of 210 who entered at 11:00 a.m., 150 would have exited at 12:00 p.m. To maximise the required value, the remaining 60 persons would have exited at least after three hours.

Hence, out of 240 who entered at 12:00 p.m., 180 would have exited at 1:00 p.m. Out of 360 who entered at 1:00 p.m., 120 would have exited at 2:00 p.m. and the remaining 60 persons who exited must be those who entered at 11:00 a.m.

Those who entered at 2:00 p.m. would have exited at 3:00 p.m. Similarly, at 3:00 p.m. 120 persons entered and they would have exited at 4:00 p.m.

The remaining 300 persons could have entered 3 hours earlier.

Required number:

$= 300 + 60$

$= \textbf{360}$