Final answer:
Hema will be born on the same day of the week in December as he was in June, which is Monday.
Step-by-step explanation:
To find the day of the week on which Hema was born in December, we need to consider the information given. Hema's birth took place on Monday, June. Since both June and December have the same number of days, we can deduce that Hema will be born on the same day of the week in December as he was in June.
To determine the day of the week for a given date, we can use the concept of congruence. According to Zeller's Congruence, which is a formula that calculates the day of the week for any date, we can calculate the day of the week for a given date. In this case, we can use Zeller's Congruence to find the day of the week for a date in December, using the day of the week for the given date in June.
The question involves calculating what day of the week a particular date falls on, given another date in the same year and the day of the week on which that date fell. In this case, we know Hema was born on a Monday in June, and we want to find out what day of the week Manila was born in December of the same year. The month of June has 30 days, and counting from June until December, we cover the months of July (31 days), August (31 days), September (30 days), October (31 days), November (30 days), and December. We can find out the day of the week Manila was born by calculating the total number of days between the two dates and then determining how many weeks plus extra days this equates to. The extra days determine the day of the week relative to Monday.
To find the day of the week Manila was born: Count the total number of days from the end of June to the birth date in December, divide by 7 (the number of days in a week), and use the remainder to find the day of the week. For example, if there is no remainder, Manila was also born on a Monday; if the remainder is 1, Manila was born on a Tuesday; and so on.
Therefore, Hema was born on Monday in June, so he would also be born on a Monday in December.