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There were 10 people at the dance 1 hour before it started (1st point). By the time the dance started, 20 people were already there (2nd point). After 1 hour, 40 people were there (3rd point). In the next hour, 60 people came to the dance (4th point). Nobody came or left the dance for 2 hours (5th point). Everyone was gone by 5 hours after the dance started (6th point).

a. True
b. False

1 Answer

3 votes

Final answer:

The question describes a situation where the number of people at a dance follows a doubling pattern except for one time point where the increase does not follow this pattern. Given the inconsistency, the statement in the question is false.

Step-by-step explanation:

The question asks to judge the truth of a statement related to the number of people present at a dance at various times. This seems to be a problem about patterns or sequences, potentially involving arithmetic or geometric progressions. However, to answer this question, we need to establish whether the information given follows a logical sequence or pattern based on the data provided within the context of the question itself.

Initially, there were 10 people at the dance 1 hour before it started (1st point). By the time the dance started, numbers had doubled to 20 people (2nd point). Following the pattern, after 1 hour, the population doubled again, resulting in 40 people at the dance (3rd point). If in the next hour 60 people came, the total number would be 100, which does not follow a doubling pattern. As such, this point doesn't seem to align with a consistent doubling pattern observed in the previous time points.

At the 5th point, the statement indicates that nobody came or left the dance for 2 hours. The final statement that everyone was gone by 5 hours after the dance started (6th point) does not fit with a simple geometric progression nor does it necessarily reflect the typical outcome of a dance, where people might leave gradually.

Considering the provided references and information, it seems that the question's sequence involves a doubling pattern, with the exception of the 4th point where 60 people are said to have come, which does not double the previous number of 40 people. Therefore, the assertion described in the question contains inconsistencies and is false.

User Mg Bhadurudeen
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