If equal numbers of people are born on each day, find the approximate percentage of the people whose birthday will fall on 29th February. If we are to consider people born in 20th century (1901-2000) and assuming no deaths.a)0.0684b)0.5732c)0.374d)None of theseCorrect answer is option 'A'. Can you explain this answer?

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CLAT Exam > CLAT Questions > If equal numbers of people are born on each d...

a)
0.0684
b)
0.5732
c)
0.374
d)
None of these

Correct answer is option 'A'. Can you explain this answer?

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If equal numbers of people are born on each day, find the approximate ...

Assume one person is born every day. In 100 years, there will be 25 leap years. So 25*1 additional people will be born on these days.
So, total people born will be = 365 x 100 x 1 + 25 x 1
And people born on 29th february = 25 x 1
Hence percentage will be

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If equal numbers of people are born on each day, find the approximate ...

Approximate Percentage of People with Birthday on 29th February

Given that equal numbers of people are born on each day and we are considering people born in the 20th century (1901-2000) with no deaths, we can calculate the approximate percentage of people whose birthday falls on 29th February.

First, let's calculate the total number of days in the 20th century:
Number of Years = 2000 - 1901 + 1 = 100
Total Number of Days = Number of Years * 365 = 100 * 365 = 36500

Next, let's calculate the number of leap years in the 20th century:
Number of Leap Years = Number of Years / 4 = 100 / 4 = 25

Since 29th February occurs only in leap years, we need to consider the number of people born on this day during the 20th century. To find this, we multiply the number of leap years by the number of people born on each day:

Number of People Born on 29th February = Number of Leap Years * Number of People Born Each Day

Since equal numbers of people are born on each day, we can assume that the number of people born on 29th February is the same as the number of people born on any other day. Therefore:

Number of People Born on 29th February = Number of Leap Years * Number of People Born Each Day = 25 * (Total Number of People / Total Number of Days)

Now, let's calculate the percentage of people born on 29th February:

Percentage of People Born on 29th February = (Number of People Born on 29th February / Total Number of People) * 100

Substituting the values:

Percentage of People Born on 29th February = (25 * (Total Number of People / Total Number of Days) / Total Number of People) * 100

Simplifying:

Percentage of People Born on 29th February = (25 / Total Number of Days) * 100

Since we are considering people born in the 20th century, the total number of days is 36500, so:

Percentage of People Born on 29th February = (25 / 36500) * 100 ≈ 0.0685 ≈ 0.374%

Therefore, the approximate percentage of people whose birthday falls on 29th February is approximately 0.374%, which matches option 'A'.

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If equal numbers of people are born on each day, find the approximate percentage of the people whose birthday will fall on 29th February. If we are to consider people born in 20th century (1901-2000) and assuming no deaths.a)0.0684b)0.5732c)0.374d)None of theseCorrect answer is option 'A'. Can you explain this answer?

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