**This trick must be used when we need to calculate previous date from the given date.**

** Odd Day -**

No. of odd day | 0 | 1 | 2 | 3 | 4 | 5 | 6 |
---|---|---|---|---|---|---|---|

day | Sun. | Mon. | Tues. | Wed. | Thur. | Fri. | Set. |

#####
** Leap year **

every year which is divisible by 4

366 days / 7 = 52 weeks + 2day

#####
**Ordinary year**

every year which is not divisible by 4

366 days / 7 = 52 weeks + 1day

#####
**100 year**

76 odinary year + 24 leap year

(76 * 1) = 76 + (24 * 2) = 48 = 124 / 7 = 17 + 5 reminder

5 odd day

#####
**200 year**

5 odd day * 2 = 10 odd day / 7 = 1 + 3 reminder

3 odd day

#####
**300 year**

5 odd day * 3 = 15 odd day / 7 = 2 + 1 reminder

1 odd day

#####
**400 year**

0 odd day

#####
Q1.) What was the day of the week on **28 March 1722**?

### STEP 1 :

#####
First of all substract 1 with the year

1722 - 1 = 1721

### STEP 2 :

#####
Divide the year with 400 to check the number of leap year

1721 / 400 = 121

### STEP 3:

#####
100 years = 5 odd days so

121 year & 1 Jan to 28 March 1722

1 * 100 = 1 * 5 = 5 odd day

### STEP 4:

#####
Now again check leap year

21 year = 21 / 4 = 5 leap year

and subtract the leap year with 21 to calculate ordinary year

21 year = 5 leap year + 16 odinary year

### STEP 5:

#####
As aboe discuss

1 leap year = 2 odd day

1 ordinary year = 1 odd day

5 * 2 + 16 * 1 = 26

Now divide the total days with 7 and reminder will be odd days

26 / 7 = 5 odd days

### STEP 6:

#####
1 Jan to 28 March 1722

Number of Days in 1722 | |

Jan | 30 |
---|---|

Feb | 28 |

Mar | 28 |

Total No. of Days | 86 |

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