Mathematical Aptitude - Calender Questions

16. What was the day of week on 1 April, 2001?

  • Option : A
  • Explanation : 1st April, 2001 = (2000 years + period from 1.1.2001 to 1.4.2001)
    Odd days in 2000 years = 0
    Now, calculate the odd days for the year 2001.
    JanFebMarchAprilTotal
    312831191
    91 divided by 7 gives 0 as remainder, so, odd days can be counted as 0.
    Total number of odd days = (0 + 0) = 0
    On 1st April, 2001, it was Sunday.
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17. The last day of a century cannot be

  • Option : C
  • Explanation : 100 years contain 5 odd days.
    Last day of 1st century is Friday.
    200 years contain (5 × 2) = 3 odd days
    Last day of 2nd century is Wednesday.
    300 years contain (5 × 3) = 15 odd days that is, equal to 1 odd day.
    Last day of 3rd century is Monday.
    400 years contain 0 odd days.
    Last day of 4th century is Sunday.
    This cycle is repeated.
    Last day of a century cannot be Tuesday or Thursday or Saturday.
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18. 10 February, 2005, was Thursday. What was the day of the week on 8 February, 2004?

  • Option : c
  • Explanation : The year 2004 is a leap year. It has 2 odd days.
    Hence, February 10, 2004, was Tuesday and February 8, 2004, must be Sunday.
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