Anna is 300 days older than Varun and Sandeep is 50 weeks older than Anna. If…
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Anna is 300 days older than Varun and Sandeep is 50 weeks older than Anna. If Sandeep was born on Tuesday, on which day was Varun born?
- A.
Tuesday
- B.
Monday
- C.
Wednesday
- D.
Thursday
Show answer & explanation
Correct answer: B
Concept: Weekdays repeat in a cycle of 7. If the gap between two events is an exact multiple of 7 days, both fall on the same weekday. If the gap is not a multiple of 7, the remainder after dividing by 7 is exactly how many weekdays the later event is shifted forward from the earlier one, since the later event happens after the earlier one in time.
Sandeep is 50 weeks (350 days) older than Anna, so Anna was born 350 days after Sandeep. Since 350 ÷ 7 = 50 exactly, with no remainder, Anna's birth day is the same as Sandeep's — Tuesday.
Anna is 300 days older than Varun, so Varun was born 300 days after Anna. 300 ÷ 7 = 42 weeks with a remainder of 6 days (300 = 42 × 7 + 6).
Complete weeks do not change the weekday, so only the 6-day remainder matters: counting 6 days forward from Tuesday — Wed, Thu, Fri, Sat, Sun, Mon — lands on Monday.
As a check, go directly from Sandeep to Varun: the total gap is 350 + 300 = 650 days, and 650 = 92 × 7 + 6, the same 6-day remainder — confirming Varun's birth day is 6 days forward of Tuesday.
So Varun was born on Monday.