Aaron and Alice were both born on a Sunday on January 1 in different years. Aaron was born in a leap year. When Aaron is 13 years old, how old is Alice?

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Solution

The correct option is C 8
Let's say Aaron is born in 2012, which is a leap year.
In the year 2025, he will be 13 years old.

Since, calendars advances 1 day in regular years and 2 days in a leap year.

We count the days as follows:

Date Days added Day Accepted?

January 1, 2013 2 Tuesday No

January 1, 2014 1 Wednesday No

January 1, 2015 1 Thursday No

January 1, 2016 1 Friday No

January 1, 2017 2 Sunday Yes

Hence, Alice is born on January 1, 2017, which is also a Sunday.

In the year 2025 Alice's age will be, 2025 - 2017 = 8 years.

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