[Solved] If In A Particular Year 12th January Is A Sunday, Then Which

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1) No. of days in February is 29 if it is a leap year.

No. of days left in January = 31 - 12 = 19

Total no. of days till 15th July = (19 + 29 + 31 + 30 + 31 + 30 + 15) = 185

No. of odd days = 185 ÷ 7 = 26 weeks and 3 odd days.

15th July is a Wednesday if the year is a leap year.

15th July is a Sunday if the year is a leap year. (False)

2) No. of days in February is 28 if it is a non leap year.

No. of days left in January = 31 - 12 = 19

Total no. of days till 15th July = (19 + 28 + 31 + 30 + 31 + 30 + 15) = 184

No. of odd days = 184 ÷ 7 = 26 weeks and 2 odd days.

15th July is a Tuesday if the year is not a leap year.

15th July is a Sunday if the year is not a leap year. (False)

3) No. of days in February is 29 if it is a leap year.

No. of days left in January = 31 - 12 = 19

Total no. of days till 12th July = (19 + 29 + 31 + 30 + 31 + 30 + 12) = 182

No. of odd days = 182 ÷ 7 = 26 weeks and 0 odd days.

Therefore, 12th July is a Sunday if the year is a leap year. (True)

4) No. of days in February is 29 if it is a leap year.

No. of days left in January = 31 - 12 = 19

Total no. of days till 12th July = (19 + 29 + 31 + 30 + 31 + 30 + 12) = 182

No. of odd days = 182 ÷ 7 = 26 weeks and 0 odd days.

Therefore, 12th July is a Sunday if the year is a leap year.

12th July is not a Sunday if the year is a leap year. (False)

Hence, "12th July is a Sunday if the year is a leap year" is the correct answer.

Case I : If the year is not a leap year.

Total no. of days till 12th July = (19 + 28 + 31 + 30 + 31 + 30 + 12) = 181

No. of odd days = 181 ÷ 7 = 25 weeks and 6 odd days.

12th July is a Saturday if the year is not a leap year.

15th July is a Tuesday if the year is not a leap year

Case II : If the year is a leap year.

Total no. of days till 12th July = (19 + 29 + 31 + 30 + 31 + 30 + 12) = 182

No. of odd days = 182 ÷ 7 = 26 weeks and 0 odd days.

12th July is a Sunday if the year is a leap year. (True)

15th July is a Wednesday if the year is a leap year.

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