Day of the week calculation

CMAT 2024 · Logical Reasoning · Easy · Clocks and Calendars

If 8th8^{\text{th}} February, 2005 was a Tuesday, then what was the day on 8th8^{\text{th}} February, 2004?

  1. A.

    Tuesday

  2. B.

    Monday

  3. C.

    Sunday

  4. D.

    Wednesday

Answer

C

Explanation

2004 was a leap year. Therefore, from 8th8^{\text{th}} February 2004 to 8th8^{\text{th}} February 2005, there are 366 days.

Number of odd days = 366(mod7)=2366 \pmod 7 = 2.

Since 8th8^{\text{th}} February 2005 is Tuesday, the day on 8th8^{\text{th}} February 2004 was Tuesday −2 days=Sunday- 2 \text{ days} = \text{Sunday}.

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