Gurkiran’s birthday is on Sunday $21^{st}$ May. On what day of the week will be Shreya’s birthday in the same year if shreya was born on $14^{th}$ November.
A) Tuesday
B) Wednesday
C) Friday
D) Saturday
Answer
615.9k+ views
Hint: To find the day on which shreya is born we first need to find how many days are there between the birthday of Gurkiran and birthday of shreya. find what are months in between and also the number of days in each month and find the number of days that are in the mentioned gap. Then as we already know what the day of Gurkiran’s birthday is , we can find the day of Shrey’s birthday.
Complete step by step answer:
As the two mentioned dates are $21^{st}$ May and $14^{th}$ November , let us find the number of days in between them.
Number of days in between $21^{st}$ May and $14^{th}$ November = No. of days after $21^{st}$ in may + No. of total days in june + No. of total days in july + No. of total days in august + No. of total days in September + No. of days in October + No. of days in November which are before $14^{th}$ . ………….(1)
= 10 + 30 + 31 + 31 + 30 + 31 + 14
= 177
As a week consists of 7 days , we can find the remainder of 177 when divided by 7 to find the day of $14^{th}$ November .
177 = 25(7) + 2
=> The remainder is 2
=> that day is the $2^{nd}$ day after Sunday i.e. $21^{st}$ may => $14^{th}$ November is Tuesday.
So, the correct answer is “Option A”.
Note: In equation (1) , in no. of days in November before $14^{th}$ , we should also include $14^{th}$ in that because for example let us find what the day is 2$2^{nd}$ may if $21^{st}$ may is Sunday. As normal we will find the days gap between them that is we get 1 that is Monday if we have done (22-21) which means 22 is included while counting the gap.
Complete step by step answer:
As the two mentioned dates are $21^{st}$ May and $14^{th}$ November , let us find the number of days in between them.
Number of days in between $21^{st}$ May and $14^{th}$ November = No. of days after $21^{st}$ in may + No. of total days in june + No. of total days in july + No. of total days in august + No. of total days in September + No. of days in October + No. of days in November which are before $14^{th}$ . ………….(1)
= 10 + 30 + 31 + 31 + 30 + 31 + 14
= 177
As a week consists of 7 days , we can find the remainder of 177 when divided by 7 to find the day of $14^{th}$ November .
177 = 25(7) + 2
=> The remainder is 2
=> that day is the $2^{nd}$ day after Sunday i.e. $21^{st}$ may => $14^{th}$ November is Tuesday.
So, the correct answer is “Option A”.
Note: In equation (1) , in no. of days in November before $14^{th}$ , we should also include $14^{th}$ in that because for example let us find what the day is 2$2^{nd}$ may if $21^{st}$ may is Sunday. As normal we will find the days gap between them that is we get 1 that is Monday if we have done (22-21) which means 22 is included while counting the gap.
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