Suppose today is Friday. What day of the week will it be exactly 65 days from now?

Difficulty: Easy

Correct Answer: Sunday

Explanation:


Introduction / Context:
This question again uses the repeating 7-day cycle of the calendar. It tests whether you can reduce a larger number of days to a small movement forward on the weekday scale by using division and remainders, a standard trick in calendar aptitude questions.


Given Data / Assumptions:

  • Today is Friday.
  • We need the day of the week 65 days from today.
  • A week has 7 days, and weekdays repeat every 7 days.


Concept / Approach:
We divide the number of days (65) by 7 and use the remainder to determine how many steps forward on the weekday cycle we must move from Friday. The quotient tells us how many full weeks there are, which do not change the weekday, while the remainder tells us the actual shift.


Step-by-Step Solution:
Step 1: Compute 65 / 7. We have 7 * 9 = 63, so 65 = 7 * 9 + 2.Step 2: The remainder is 2, so 65 days correspond to 9 full weeks plus 2 additional days.Step 3: Full weeks do not change the weekday, so we only need to shift by 2 days from Friday.Step 4: Starting from Friday, move forward: Saturday is 1 day after Friday, Sunday is 2 days after Friday.Step 5: Therefore, 65 days from Friday will be Sunday.


Verification / Alternative check:
You can quickly verify by considering smaller, simpler examples. For instance, 9 days from Friday is equivalent to 2 days from Friday, because 9 = 7 + 2. In both cases, you land on Sunday. Extending this idea, 65 days from Friday, which is 63 + 2 days, also lands on the same weekday as 2 days from Friday, confirming it is Sunday.


Why Other Options Are Wrong:
Saturday would be correct for a 1-day remainder, Monday for a 3-day remainder, and Thursday for a 6-day remainder. Friday would occur when the remainder is 0. None of these match the remainder of 2 for 65 days.


Common Pitfalls:

  • Trying to count all 65 days individually, which is slow and error-prone.
  • Confusing the quotient (9) with the remainder (2) when determining the weekday shift.
  • Adding days in the wrong direction or misordering the weekdays.


Final Answer:
65 days from Friday it will be Sunday.

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