Question

If \[{14^{th}}\] day after \[{5^{th}}\] March is Wednesday ,what day of the week will fall on \[{10^{th}}\]December of the same year ?
(A) Friday
(B) Wednesday
(C) Thursday
(D) Sunday

Answer 1

Hint: First we calculate the date \[{14^{th}}\] day after \[{5^{th}}\] March . Then we calculate the days between that day and \[{10^{th}}\] December by adding days month by month . Then divide the days by \[7\] . If we get the whole number or no fraction, then it is a complete week ;\[{10^{th}}\] December of the same year will be Wednesday . If we don’t get the whole number then we have to start calculating the reminder days from Thursday .
FORMULA USED:
After every \[7\] day, days of week repeat itself .
Normal addition of days of every month and division by \[7\].

Complete step by step solution:
\[{14^{th}}\]day after \[{5^{th}}\]March
  = \[{\left( {14 + 5} \right)^{th}}\]March
  =\[{19^{th}}\]March
\[{19^{th}}\]March is Wednesday .
Rest of the days in March = \[12\]days
Total number of days in April= \[30\]days
Total number of days in May= \[31\]days
Total number of days in June= \[30\] days
Total number of days in July = \[31\] days
Total number of days in August = \[31\] days
Total number of days in September = \[30\] days
Total number of days in October = \[31\] days
Total number of days in November = \[30\] days
Days in December= \[10\]days
Total Number of days = \[12 + 30 + 31 + 30 + 31 + 31 + 30 + 31 + 30 + 10\]days
= \[266\]days
So \[{10^{th}}\]December is \[{266^{th}}\]day from \[{19^{th}}\]March.
 \[266\]days = \[\dfrac{{266}}{7}\]weeks
=\[38\]weeks
So we can see that we get complete \[38\]weeks.
So \[{10^{th}}\]December will be the same day of the week as \[{19^{th}}\]March.
So \[{10^{th}}\]December of that same year will be Wednesday.
This is our answer . So option (B) is the correct answer .
So, the correct answer is “Option B”.

Note: We need to calculate the days carefully every month . Some months have thirty days and some have thirty one days .Be careful during the first addition to know the date of the day of week is given .We need to calculate the last day otherwise the answer will be incorrect .