Instructions

The given table shows the number of seats reserved in different classes in a train on six days of a week. The number of seats available in each class is given in brackets. Study the table and answer the questions that follow.

Question 73

If the data related to vacant seats for AC II Tier on the given six days is represented by a pie chart, then what is the difference (in degrees) between the central angles of the sectors representing vacant seats in these classes on Thursday and Monday?

Solution

Upon calculating the number of vacant seats on every day of the week, we get the data.Ā 

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The total number of seats vacant throughout the week would be 630.Ā 

In making a pie chart, these 630 seats would encompass 360 degrees. So the number of degrees per seat would beĀ $$\frac{360}{630}$$
Monday will haveĀ $$\frac{360}{630}\times\ 105\ =\ 60$$ degrees
Thursday will haveĀ $$\frac{360}{630}\times\ 140\ =\ 80$$ degrees

The difference between the angles covered by Monday and Thursday will be 20 degrees.Ā 

Hence, Option D is the correct answer.Ā 

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