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Answer: (D) Thursday
Explanation
To find the day of the week on 17 August 2017 given that 16 September 2010 is Thursday, we calculate the total number of odd days between these two dates.
First, calculate the odd days from 16 September 2010 to 16 September 2017. The difference is 7 years. Within these 7 years, there are 2 leap years (2012 and 2016) and 5 ordinary years.
Total odd days = (2 × 2) + (5 × 1) = 9 days 9 days ≡ 2 odd days (since 9 ÷ 7 leaves a remainder of 2)
Thus, 16 September 2017 is Thursday + 2 days = Saturday.
Next, move backward from 16 September 2017 to 17 August 2017. The total number of days between these dates is: Remaining days in August = 31 - 17 = 14 days Days in September = 16 days Total days = 14 + 16 = 30 days 30 days ≡ 2 odd days (since 30 ÷ 7 leaves a remainder of 2)
Since we are moving backward from September to August: Day on 17 August 2017 = Saturday - 2 days = Thursday.