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On what day did 1st August 1987 fall?

ATuesday

BSaturday

CSunday

DThursday

Answer:

B. Saturday

Read Explanation:

Solution:

No. of Odd days

Ordinary Year

Leap Year

365 ÷ 7 = 52 weeks + 1 odd day

366 ÷ 7 = 52 weeks + 2 odd day

 

Years

No. of odd days

100 years

5

200 years

3

300 years

1

400 years

0

 

Note: Multiple of 400 years i.e. 800, 1200, 1600, 2000 have 0 odd days.

Calculating leap year: For Finding the number of leap year (1 - 99) years, divide the number of years by 4 and the quotient will be the number of leap years.

Code for weekdays:

No. of odd days

Day

0

Sunday

1

Monday

2

Tuesday

3

Wednesday

4

Thursday

5

Friday

6

Saturday

1987 = we find out the odd days (the nearest leap century year + the nearest century year + completing year) = 1900 + 86 year + year 1987

  • In 1900 year the odd days = 1 odd day

  • In 86 years, odd days = 21 leap year + 65 ordinary years

    • 21 Leap year = 42 Year = 0 odd day

    • 65 Normal Year = 65 Year = 2 odd day

  • Odd days in 1 January to 1 August:

  • In 1987, the number of days up to 1 August = 31 (Jan) + 28 (Feb - normal year) + 31(Mar) + 30(Apr) + 31(May) + 30 (June) + 31(July) + 1 (Aug) = 213 / 7 = 3 odd days. 

  • Total = 1 + 0 + 2 + 3 = 6 days

    • 6 is the code for Saturday.

 

Hence, 1st August, 1987 is Saturday.


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