CAT 2025 Calendar Questions: Check Important Formulas and Solved Sample Questions

The Logical reasoning of the CAT will have few questions (1-3) from the Clocks and calendars topic. CAT Logical reasoning section contain a total of 20 questions (30% weightage) and out of that few questions are from Clocks and calendars. This year, the CAT exam will be held by IIM Kozhikode on 30^th November. The CAT exam registration will start soon from August 1^st and end on 13^th September, 2025. 

In CAT Question Paper the weightage of calendar questions is not very high or not frequently asked in CAT exam. Though only 1-3 questions are asked, CAT calendar topic should be included in CAT QA Preparation. Also Check CAT Exam Pattern.

• CAT Calendar topic requires logical discussion and analysis while solving the questions.
• To solve the questions on CAT Calendar topic learn the tricks since 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. 

Questions on clocks or even calendars are not really frequent in CAT these days. They used to be really popular few years ago. However, you should always practice and understand the concept for solving these questions. Read the article to know more tips to crack this sections and to score high in CAT 2025. 

Quick Links:

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

Quick Links:

How to Prepare for CAT Calendar Questions?

To know how you can prepare for CAT calendar questions, you can check the video below. In this video, CAT Calendar basics and tips and tricks are explained.

• This will help you understand CAT calendar easily
• You can get multiple examples of problems that you might face during the test

CAT DILR Question Paper with Solutions PDF

We have shared last years question paper with solution so that you can review CAT 2025 Calendar questions. 

Important Formulas for CAT Clocks

Few formula’s that you should know to solve questions related to clocks are as follow:

1. 60-minute space = 360° = 1 hour
2. 1-minute space = 6° = 1 minute
3. 5-minute space = 6° x 5 = 30° = 5 minutes
4. Right Angle or Perpendicular = 15-minute spaces apart
5. Right Angle or Perpendicular = 22 times in 12 hours or 44 times in 24 hours (1 day)
6. Speed of minute hand = 6 dpm
7. Straight Angle or Straight Line or 180° = 30-minute space apart
8. Straight Angle = 11 times in 12 hours or 22 times in 24 hours (1 day)
9. Angle traced by hour hand in 12 hrs = 360°
10. Angle traced by minute hand in 60 min. = 360°
11. Speed of hour hand = 0.5 dpm (degree per minute)
12. Angle of the hour hand from vertical at N o’clock = 30N

Problems on angles of Clocks

Before we actually start solving problems on angles, we need to get couple of basic facts clear:

• Speed of the hour hand = 0.5 degrees per minute (dpm) {The hour hand completes a full circle or 360 degrees in 12 hours or 720 minutes}
• Speed of the minute hand = 6 dpm {The minute hand completes a full circle in 60 minutes}
• At ‘n’ o’ clock, the angle of the hour hand from the vertical is 30n

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.)

Also Read: Coaching Institutes Across India to Prepare for CAT

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

Quick Links: