Question

Kate was born on Saturday, $ 22nd $ March $ 1982 $ . On what day of the week was she $ 14 $ years, $ 7 $ month and $ 8 $ days of age?
A.Sunday
B.Tuesday
C.Wednesday
D.Monday

Answer 1

Hint: Here we will use the concept of the leap year, the number of days in the year, the number of days in the month and the number of days of week. Use the correlation between it and follow the given data and accordingly find the required day.

Complete step-by-step answer:
Leap year comes after every four years,
So, in $ 14 $ years, $ 7 $ months and $ 8 $ days $ = 11 $ ordinary years $ + 3 $ leap years $ + 7 $ months $ + 8 $ days
Ordinary year $ = 365 $ days
Leap year $ = 366 $ days
Days in month $ = 30/31 $
So, in $ 14 $ years, $ 7 $ months and $ 8 $ days $ = 11(365) + 3(366) + 30 + 31 + 30 + 31 + 30 + 31 + 30 + 8 $
Find the product and sum of the terms in the above expression –
So, in $ 14 $ years, $ 7 $ months and $ 8 $ days $ = 5335 $
Now we know that, week as seven days, divide the total number of days and find remainder –
 $ = \dfrac{{5335}}{7} $
Simplify the above expression –
 $ 5335 = 762(7) + 1 $
Since one is the remainder, get the next day for the given day.
Hence, his birthday would come after Saturday, which is Sunday.
Hence, from the given multiple choices, the option A is the correct answer.
So, the correct answer is “Option A”.

Note: Always remember that for any For Non – leap year, when we move forward by one year then one more day is gained that is if Sunday falls for the first year, then Monday falls for the same date for the next year. Remember the divisibility test for the number four to identify the leap year easily and quickly. Know the difference between the leap year and non-leap year.