# Calendars

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Question 1 |

Today is Monday. After 61 days, it will be:

Monday | |

Saturday | |

Sunday | |

Tuesday |

**Calendars**

**Discuss it**

Question 1 Explanation:

After 63 days it will be Monday so after 61 days it will be Saturday

Question 3 |

What day on 23.04.1990?

Monday | |

Tuesday | |

Wdnesday | |

Friday |

**Calendars**

**Discuss it**

Question 3 Explanation:

Step 1: 23+90 = 113
Step2: 90/4 Quotient = 22
Step3: add quotient to step 1
113+22+6 (month code) + 0 (year code)
Step4: Divide result of step 3 by 7
141/7
Step5: remainder of step 4 is the day code
1------- Monday

Question 4 |

What day of week was it on 5th November,1989 if it was Monday on 4th April, 1988 ?

Sunday | |

Monday | |

Tuesday | |

Wednesday |

**Calendars**

**Discuss it**

Question 4 Explanation:

For Non-Leap year, When we proceed forward by one year, then 1 day is gained and vice-versa.

If 4th April, 1988 = Monday, then 4th April, 1989 = Tuesday (Because 1989 is a non-leap year)

Remaining days until 5th Nov.89

=Tuesday + 215

If 4th April, 1988 = Monday, then 4th April, 1989 = Tuesday (Because 1989 is a non-leap year)

Remaining days until 5th Nov.89

=Tuesday + 215

Question 5 |

If 29

^{th}April 2013 is Monday then what is the day on 30^{th}November 2013?Saturday | |

Sunday | |

Monday | |

Wednesday |

**Calendars**

**Discuss it**

Question 6 |

If January 1, 2016 was a Friday, what day of the week will be on January 1, 2017?

Sunday | |

Monday | |

Tuesday | |

Wednesday |

**Calendars**

**Discuss it**

Question 6 Explanation:

The year 2016 is the leap year which has 366 days i.e. 52 weeks and 2 more days. After each week, the day starts repetition. So the day on January 1, 2017 will be 2 days beyond Friday. That is Sunday.

Question 7 |

What was the day of the week on January 30, 1948?

Sunday | |

Tuesday | |

Thursday | |

Friday |

**Calendars**

**Discuss it**

Question 7 Explanation:

The number of days left after dividing the period by 7 is known as odd days. Every ordinary year has 365 days i.e. 52 weeks and 1 odd day and every leap year has 366 days i.e. 52 weeks and 2 odd days. Every 4th year and every 4th century is the leap year.
100 years have 76 ordinary years and 24 leap years i.e. 76 + 2*24 = 124 odd days. = 7*17 + 5 = 5 odd days.
200 years have = 10 odd days = 7*1 + 3 = 3 odd days.
300 years have = 15 odd days = 1 odd days.
Since every 400th year is the leap year, 400 years have = 20 + 1 = 21 odd days = 0 odd days.
1947 years = 1600 years + 300 years + 47 years = 0 odd days + 1 odd day + (11*2 + 36) odd days = 59 odd days = 3 odd days.
30 days have 2 odd days.
The total number of odd days up to 30th January 1948 = 5 odd days. Hence, it was a Friday.

Question 8 |

What was the day of the week on January 1, 2001?

Sunday | |

Monday | |

Tuesday | |

Wednesday |

**Calendars**

**Discuss it**

Question 8 Explanation:

The number of days left after dividing the period by 7 is known as odd days. Every ordinary year has 365 days i.e. 52 weeks and 1 odd day and every leap year has 366 days i.e. 52 weeks and 2 odd days. Every 4th year and every 4th century is the leap year.
100 years have 76 ordinary years and 24 leap years i.e. 76 + 2*24 = 124 odd days. = 7*17 + 5 = 5 odd days.
200 years have = 10 odd days = 7*1 + 3 = 3 odd days.
300 years have = 15 odd days = 1 odd days.
Since every 400th year is the leap year, 400 years have = 20 + 1 = 21 odd days = 0 odd days.
There are 0 odd days in 2000 years. Hence, there is 1 odd day up to the date January 1, 2001. Hence, it was a Monday.

There are 8 questions to complete.