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Lesson 1 of 5 · Day of the week / odd days

Odd days

Clocks and Calendars · for IPMAT Indore, IPMAT Rohtak and JIPMAT · asked in JIPMAT 2021

The exam method

  1. Same calendar. both ordinary or both leap, and the odd days in between total a multiple of 7 (2009 → 2015; 2023 → 2034).

Worked examples

Example 2EasyJIPMAT 2021

X was born on 6 March 2014; Independence Day that year was a Friday. Which day was X born?

Example 3EasyJIPMAT 2023

Which year has the same calendar as 2009 (given 2008 began on a Monday)?

Formulas you need

odd days=days mod 7\text{odd days} = \text{days} \bmod 7

Watch out

  • Leap day position: 1 March to 1 April is 31 days even in a leap year; the extra day is in February.

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