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If Farhan celebrated his victory day on Thursday, 10th October, 1985. When will he celebrate his next victory day on the same day?
  • a)
    10th October 1993
  • b)
    10th October 1991
  • c)
    10th October 1992
  • d)
    10th October 1990
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
If Farhan celebrated his victory day on Thursday, 10th October, 1985....
We know that every non-leap year increase one day every year and leap year increase two days every year.
10th October 1985 is Thursday.
10th October 1986 is Friday.
10th October 1987 is Saturday.
10th October 1988 is Sunday. (Leap Year)
10th October 1989 is Tuesday.
10th October 1990 is Wednesday.
10th October 1991 is Thursday.
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Most Upvoted Answer
If Farhan celebrated his victory day on Thursday, 10th October, 1985....
Explanation:

To determine when Farhan will celebrate his next victory day on the same day, we need to calculate the number of years between 10th October 1985 and the options provided.

Calculation:

Option A: 10th October 1993
- Difference in years: 1993 - 1985 = 8 years

Option B: 10th October 1991
- Difference in years: 1991 - 1985 = 6 years

Option C: 10th October 1992
- Difference in years: 1992 - 1985 = 7 years

Option D: 10th October 1990
- Difference in years: 1990 - 1985 = 5 years

Since Farhan celebrated his victory day on Thursday, 10th October 1985, we need to find the option that results in the same day of the week after the calculated number of years.

Calculating the Day of the Week:

To calculate the day of the week, we can use the concept of modular arithmetic. The number of days in a week is 7, so we can divide the difference in years by 7 and find the remainder. This will give us the number of days that have passed.

For example, if the remainder is 0, it means the day of the week will remain the same. If the remainder is 1, it means the day of the week will shift by 1 day, and so on.

Calculating the Remainders:

Option A: 8 years
- Remainder: 8 % 7 = 1

Option B: 6 years
- Remainder: 6 % 7 = 6

Option C: 7 years
- Remainder: 7 % 7 = 0

Option D: 5 years
- Remainder: 5 % 7 = 5

Conclusion:

Based on the calculations, we can see that Farhan will celebrate his next victory day on the same day of the week on 10th October 1991 (Option B). The remainder of 6 indicates that the day of the week will shift by 6 days, resulting in the same day (Thursday) as in 1985.
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If Farhan celebrated his victory day on Thursday, 10th October, 1985. When will he celebrate his next victory day on the same day?a)10th October 1993b)10th October 1991c)10th October 1992d)10th October 1990Correct answer is option 'B'. Can you explain this answer?
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