## Calendar Questions - 1

If the first day (i.e.1st January) of a non-leap year is Monday, then what day of the week will be the last day of that year (i.e. 31st December) ?
• Sunday
• Tuesday
• Wednesday
• Monday
• Saturday
Explanation

A non-leap year (ordinary) consists 365 days => 52 complete weeks and 1 odd day (1 Extra day).

Therefore a non-leap year starts and ends with the same day of the week.

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If the first day of a leap year is Friday then what day of the week will be the last day of that year ?
• Sunday
• Monday
• Tuesday
• Wednesday
• Saturday
Explanation

A leap year consists 366 days => 52 complete weeks and 2 odd days (2 Extra days).

Therefore if a leap year starts with Friday, then ends with Saturday, i.e day of the week will be 1 day beyond the starting day of the week.

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What was the day of the week on 15th August 1947 ?
• Friday
• Thursday
• Wednesday
• Tuesday
• Monday
Explanation

Conventional Method:

 Â Odd days Up to 1600 Â 0 Up to 1900 [300 yr] Â 1 Up to 1946 Leap 11 x 2 = 22 Ordinary 35 x 1= 35 57 (leap + ordinary) Till 15/Aug/1947 227 Total 285

 7 ) 285 ( 40 Â Â 280 Â Â Â Â 5 Â Â

5 = Odd days => 5 = Friday

Direct Method:

 15th August 1947 Odd days I] Add Date + Last two digits of the year = 15 + 47 Â 62 II] Month Code ( August ) 2 III] Century Code ( 1900 to 1999) 0 Iv] Number of leap year up to 47 ( last two digits of the year) 47/4 11 Number of odd days 75

 7 ) 75 ( 10 Â Â 70 Â Â Â Â 5 Â Â

(5 odd days, 5 denotes Friday)

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What was the day of the week on 26th January 1950 ?
• Friday
• Thursday
• Wednesday
• Tuesday
• Monday
Explanation
 26 â€“ January - 1950 Â Â Â Odd days [i] 26 + 50 Â = Â 76 [ii] January code Â = Â 0 [iii] Century code Â = Â 0 [iv] Number of leap years (Up to 50/4) Â = Â 12 Â Â Â Â Â Total Â Â Â 88

Â

 7 ) 88 ( 12 Â Â 84 Â Â Â Â 4 Â Â

4 = odd days => 4 = Thursday

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If 21st August 2006 was a Monday, then what the day of the week was the same date in 2007 ?
• Tuesday
• Monday
• Wednesday
• Thursday
• Sunday
Explanation

If on 21st August 2006 is Monday, then on the same date of 2007 will be, one day beyond.

Monday => Monday + 1 day = Tuesday.

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If 21st August 2006 was a Monday, then what day of the week was the same date in 2005 ?
• Thursday
• Tuesday
• Sunday
• Wednesday
• Monday
Explanation

If on 21st August 2006 is a Monday, then on the same date of 2005 was, one day behind the given, day of the week, therefore the day of the week on 21/Aug/2005 = Monday â€“ 1 day = Sunday.

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This is a leap year. If today is a Sunday, then on what day does the same date fall, the next year ?
• Monday
• Tuesday
• Wednesday
• Friday
Explanation

We cannot determine without date and month, the day of the week differs, for the days that falls between 1st January to 29th February of a leap year, and 1st March to 31st December of leap year.

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If 15th August 2016 is a Monday, then on what day of the week will the same date fall in 2017 ?
• Wednesday
• Monday
• Sunday
• Tuesday
• Thursday
Explanation

As 2016 is a leap year, but on 15th August 2016, leap year does not effect as February 29th is completed, so the day of the week on the same day will be 1st day beyond the given day of the week.

Therefore the day of week = Monday + 1 day = Tuesday.

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If 15th August 2016 is a Monday, then on what day of the week will the same date fall in 2015 ?
• Wednesday
• Saturday
• Tuesday
• Sunday
• Monday
Explanation

As 2016 is a leap year, 2015 is ordinary year, from 15th August 2016 to 15th August 2015, we have to cross 29th February of 2016, therefore the day of the week on 15th August 2015 was, 2 days behind Monday, Monday â€“ 2 = Saturday.

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If 28th August 2016 is a Sunday, then on what day will the same date fall in 2816 ?
• Tuesday
• Monday
• Sunday
• Saturday
• Canâ€™t be determined
Explanation

For every 400 years or its multiples same calendar repeats, 2816 â€“ 2016 = 800

Therefore on 28th August 2816 the day of the week will be same as on the date of 2016.

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