Pankaja is younger than her brother by 1460 days. If her brother was born on Sunday, what was the day on Pankaja’s birth date?

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Sunday

Tuesday

Wednesday

Thursday

answer is D.

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Detailed Solution

Concept-In this question, you need to determine Pankaja's date of birth so that her brother is 1460 days older than her. To do this, follow the concept of leap years.
There are 365 days in a year and 7 days in a week. There are 52 complete weeks in a year, so there is one odd numbered day in each normal year. February has 29 days in a leap year and the total number of days in a leap year is 366. So in a leap year there are 2 odd days. According to the question, Pankaja is 1460 days younger than his brother, so Pankaja's date of birth is 1461 days earlier than his brother. Now 1460 can be rewritten as (365 + 365 + 365 + 365). Pankaja's date of birth is therefore three years later and the last day of the corresponding leap year. If your brother's birthday falls on a Sunday,
1 year later the same date will be Monday
2 years later the same date will be Tuesday
3 years later the same date will be Wednesday
End of my 4th year, my birthday is Thursday.
Hence, the correct option is 4.

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