Calendar arithmetic with ages: Ann is 300 days older than Varun, and Sandeep is 50 weeks (350 days) older than Ann. If Sandeep was born on a Tuesday, on which weekday was Varun born?

Introduction / Context:We convert age gaps to a net day offset between Sandeep and Varun, then apply mod-7 weekday arithmetic.

Given Data / Assumptions:

• Ann − Varun = 300 days.
• Sandeep − Ann = 350 days (50 weeks).
• Hence Sandeep − Varun = 650 days.
• Sandeep’s weekday = Tuesday.

Concept / Approach:Varun is 650 days younger ⇒ move forward 650 days from Tuesday. Since 650 ≡ 6 (mod 7), we advance by 6 weekdays.

Step-by-Step Solution:

Verification / Alternative check:Equivalently, moving backward 6 days from Tuesday gives Wednesday; but because Varun is younger, we move forward 6, landing on Monday.

Why Other Options Are Wrong:They correspond to incorrect mod 7 or wrong direction on the timeline.

Common Pitfalls:Using 650 ≡ 1 (mod 7) by mistake, or subtracting instead of adding.

Final Answer:Monday