CAT Calendar topic requires logical discussion and analysis while solving the questions. However, in CAT Question Paper the weightage of calendar questions is not very high or not frequently asked in CAT exam but aspirants can expect 1 to 3 questions every year. Therefore, CAT calendar topic should be included in CAT QA Preparation. Also Check CAT Exam Pattern

To solve the questions on CAT Calendar topic learn the tricks to solve the questions quickly because the these questions are generally direct and can be solved easily. For example, if the question is asking to find the day of the week on a given date, the students need to use the concept of odd days. Read the article to know more tips to crack this sections and to score high in CAT 2021. 

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Important Formulas of CAT Calendars

Given below are some of the important formulas which must be kept in mind while attempting questions related to Calendars in the CAT exam.

• Odd Days: If the question is asking to find the day of the week on a given date, the students need to use the concept of odd days. 
  • The number of days more than the completed week are called odd days. 
• Leap Year: Every year which is divisible by 4 is a leap year and every fourth century is a leap year and no other century is a leap year.
  • For instance, Each of the years 1948, 2004, 1676 - each of them is a leap year.
  • 400, 800, 1200, 1600, 2000 - each of them is a leap year.
  • 2001, 2002, 2003, 2005, 1800, 2100 - none among them is a leap year.
• Ordinary year: The year which is not a year is called an ordinary year. An ordinary year has a total of 365 days
• Counting of odd days: 1 year has a total of 52 weeks and 1 day. Hence, 1 ordinary year has 1 odd day
  • 1 leap year has 52 weeks and 2 days. Hence, 1 leap year has 2 odd days.
  • 100 years has 76 ordinary years and 24 leap years
  • = (76 x 1 + 24 x 2) odd days = 124 odd days. = (17 weeks + days) 5 odd days. Hence, the number of odd days in 100 years is five
• The number of odd days in 200 years will be (5 X 2)= 3 odd days
• The number of odd days in 300 years will be (5 X 3)= 1 odd day
• The number of odd days in 400 years will be (5 X 4+1)= 0 odd day

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Tricks to Solve CAT Calendar Questions

Finding Day of a Date by Using a Reference Date

• We will be using the days method. 
• The number of excess days is used to calculate the number of days the calendar has moved by. 
• 1.1.1973—Tuesday

Due to 1973, the calendar will go ahead by 1 day, similarly, due to 1974—1 day, due to 1975—1 day, and due to 1976—2 days. So, in four years, the calendar will go ahead by 5 days.

• Using the unitary method, in four years, the calendar will move ahead by 5 days.
• So, in 24 years, the calendar will move ahead by 30 days. Hence, the calendar will move ahead by 2 days.
• So, 1.1.1997 will be two days ahead of Tuesday, that is, Thursday.

Through Manual Calculation

You have to memorize the code table for this method. 

Example: Find the date of 15th August 1947: 

• Add the Date + Month code of August + Last two digits of year + (Last two digits of year/4)
• [x] represents the greatest integer value of x
• So, corresponding to 15th August 1947—15 + 3 + 47 + 11 = 76
• Now, divide this value by 7 to find out the remainder.
• If the remainder is 0 then it is a Saturday.
• If the remainder is 1 then it is a Sunday.
• If the remainder is 2 then it is a Monday.
• If the remainder is 3 then it is a Tuesday.
• If the remainder is 4 then it is a Wednesday.
• If the remainder is 5 then it is a Thursday.
• If the remainder is 6 then it is a Friday.
• Here, remainder is 6, so 15th August 1947 was a Friday.(
• It should have been a ‘Free Day.)

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CAT Calendar Sample Questions with Solutions

Ques: What day of the week would 15th April 1916 be if 15 March 1816 was Friday? 

1. Monday
2. Wednesday
3. Thursday
4. Saturday

Correct Answer: d. Saturday

Ques: Mohan celebrated his birthday on Friday in 2016. This will be the first year after 2016 when Mohan’s birthday will fall on a Wednesday

1. 2021
2. 2023
3. 2020
4. 2025

Correct answer: c. 2020

Ques: If December 9, 2001, is a Sunday, then December 9, 1971, would have been a? 

1. Monday
2. Thursday
3. Saturday
4. Wednesday

Correct answer: b. Thursday

Ques: Which of the following is a possible value of X, if a leap year in 1895 is having a calendar just like that of year X? 

1. 1900
2. 1901
3. 1902
4. 1903

Correct answer: b. 1901

Ques: It was wednesday on 28th August 1946 then what day of the week was 31 August 1961?

1. Monday
2. Wednesday
3. Thursday
4. Saturday

Correct answer: c. Thursday

Ques: What was the day of the week on May 28, 2006?

1. Thursday
2. Friday
3. Saturday
4. Sunday

Correct answer: d. Sunday

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

1. Thursday
2. Friday
3. Saturday
4. Sunday

Correct answer: c. Saturday

Ques: Wednesday will fall on what dates of April, 2001?

1. 1st, 8th, 15th, 22nd, 29th
2. 2nd, 9th, 16th, 23rd, 30th
3. 3rd, 10th, 17th, 24th
4. 4th, 11th, 18th, 25th

Correct answer: d. 4th, 11th, 18th, 25th

Ques: Calculate and answer that many days are there in x weeks x days?

1. 7x2
2. 8x
3. 14x
4. 7

Correct answer: b. 8x

Ques: If on 8th Feb, 2005, it was Tuesday. What would be the day of the week on 8th Feb, 2004? 

1. Tuesday
2. Monday
3. Sunday
4. Wednesday

Correct answer: c. Sunday

CAT Sample Questions for Preparation

Ques. June 10, 1979, was a Sunday. Then, May 10, 1972, was a:

(a) Wednesday

(b) Thursday

(c) Tuesday

(d) Friday

Ques. In a certain year, the month of January had exactly 4 Wednesdays and 4 Sundays. Then, January 1 of that year was a:

(a) Monday

(b) Thursday

(c) Friday

(d) Saturday

Ques. I was born in a century in which the last year of the previous century was a leap year. I was born in the first year after the first leap year of the century. I was born after 1200 A.D. and before 2000 A.D. What is the year of my birth?

(a) 1405

(b) 1505

(c) 1605

(d) 1705

Ques. 1st January of Year 19XY and 1st January of year 19PQ are the same day. It is also given that no other year before 19PQ has its 1st January on the same day as that of 1st January of 19XY. What is the minimum possible value of | PQ-XY|, where PQ and XY are the last two digits of the year?

(a) 5

(b) 6

(c) 11

(d) 13

Ques. Let us express the date in the DDMMYYYY format, where DD represents the day of the month, MM represents the month, and YYYY represents the year. If the last possible date in the 20th century with all the eight digits (in the date as expressed in the above format) being odd is a Sunday, then what day of the week will the first date of the 21st century with all the eight digits even be?

(a) Monday

(b) Saturday

(c) Friday

(d) Tuesday

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