Mathi and Deepika are friends. Mathi says, “Today is my birthday” and she asks Deepika, “When did you celebrate your birthday”? Deepika replies, “Today is Monday and I celebrated my birthday 75 days ago”. Find the day when Deepika celebrated her birthday.
Wednesday
Days of the week repeat every 7 days, so only the remainder of the number of days divided by 7 matters (the odd days).
Step 1 — \(75 = 7 \times 10 + 5\), so 75 days ago falls on the same weekday as 5 days ago.
Step 2 — Counting back from Monday: 1 day ago Sunday, 2 Saturday, 3 Friday, 4 Thursday, 5 Wednesday.
Step 3 — Deepika's birthday was a Wednesday. Sunday and Saturday are only 1 and 2 days back, and Monday would need a multiple of 7 days, which 75 is not.
Wednesday option is correct.
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