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In 2017 independence day of India i.e. 15th August fell on Tuesday. On which of the following years will it fall on the same day of the week again?

Question

In 2017 independence day of India i.e. 15th August fell on Tuesday. On which of the following years will it fall on the same day of the week again?

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Solution

To find out when the Independence Day of India will fall on the same day of the week as it did in 2017, we need to understand how the calendar works.

A non-leap year has 365 days, which is 52 weeks and 1 day. So, if Independence Day (15th August) was on a Tuesday in 2017, it will be on a Wednesday in 2018 (because of the extra 1 day).

A leap year has 366 days, which is 52 weeks and 2 days. So, if Independence Day was on a Wednesday in 2018, it will be on a Friday in 2019 (because of the extra 2 days in a leap year).

Following this pattern, Independence Day will fall on a Tuesday again in 2023. This is because 2023 is 6 years after 2017, and 6 extra days will have passed (1 extra day for each non-leap year and 2 extra days for each leap year).

So, the answer is 2023.

This problem has been solved

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