If today is a Saturday, what day of the week will it be exactly 350 days from today?

Introduction / Context:This question checks your understanding of how days of the week repeat in cycles of 7 days. In many competitive exams, questions of this type appear with large numbers of days, but the trick is that only the remainder when divided by 7 matters. Knowing this saves time and avoids unnecessary long counting.

Given Data / Assumptions:

• Today is Saturday.
• We are asked for the day of the week 350 days from today.
• A week has 7 days and the sequence of days repeats every 7 days.

Concept / Approach:The day of the week after a certain number of days depends on the remainder when that number is divided by 7. Every complete block of 7 days returns you to the same weekday. Therefore, we compute 350 / 7 and check the remainder. If the remainder is 0, the day is unchanged; if not, we move forward by that many steps from the starting day.

Step-by-Step Solution:Step 1: Note that 1 week = 7 days, and days of the week repeat every 7 days.Step 2: Compute 350 / 7. We get 350 = 7 * 50, so 350 mod 7 = 0.Step 3: A remainder of 0 means that 350 days contain exactly 50 full weeks with no extra days beyond those full weeks.Step 4: After any whole number of weeks, the day of the week is the same as the starting day.Step 5: Since today is Saturday, after 350 days (50 full weeks) it will again be Saturday.

Verification / Alternative check:As an alternative mental check, you can test with smaller multiples: after 7 days from a Saturday it is again Saturday; after 70 days (10 * 7) it is still Saturday; extending this reasoning, after 350 days (which is 50 * 7) the day must remain Saturday. This confirms our calculation using modular arithmetic.

Why Other Options Are Wrong:Friday, Sunday, Monday, or Thursday would be correct only if there were remainders of 6, 1, 2, or 4 respectively when dividing by 7. Since the remainder is 0, none of these shifted days can be right.

Common Pitfalls:

• Adding days step by step instead of using division by 7, which is time-consuming and error-prone.
• Forgetting to take the remainder and mistakenly using the quotient (50) as the number of steps to move.
• Miscomputing the remainder when dividing by 7.

Final Answer:The day of the week 350 days from today will again be Saturday.