Calendar reasoning is the most important verbal reasoning topic For any competitive exam. In this post, we are going to explain Calendar reasoning questions and answers with explanations that help to understand Calendar Questions. this post, Also cover previous year’s Calendar Questions with explanations. Most of students facing a problem during solving the Calendar reasoning questions because they are not aware about Calendar Reasoning Tricks and Tips. So let’s Start the calendar reasoning formula and calendar reasoning concept.
What is Calendar Reasoning Questions?
Calendar questions are a part of the reasoning, in this topic the questions are asked on the basis of years and months of the calendar to find out the day or date of previous and upcoming periods of centuries. Most of the competitive exams asked questions from Calendar reasoning, and you can obtain marks easily by just doing a practice of Calendar reasoning Questions and answers. Generally, this topic is mostly asked in SSC, Railway, Banking sector of competitive exams.
How do you solve calendar reasoning questions?
Whenever you are solving calendar reasoning questions and answers. You must know about the basic concept of years and months, which will help to solve calendar reasoning questions. Let’s understand some basic concepts of calendar reasoning questions. Let’s understand the concept of odd days in leap year and ordinary year.
Types Of year in Calendar Reasoning Questions
There are Two types of year in Calendar Reasoning
- Ordinary Year/Simple Year
- 365 Days
- 52 weeks + 1 Extra/Odd Day
- Leap Year
- 365 Days
- 52 weeks + 2 Extra/Odd Day
Important Note: An Year Which is divisible by 4 completely is called leap year otherwise called Ordinary year
Ex. In 1726, 2012, 1943 Find Which is leap year and which is Ordinary year?
so,
2012⇒ Divisible by 4
Hence 2012 is a Leap year
1726 ⇒ Not Divisible by 4
Hence 1726 is a Ordinary year
1943⇒ Not Divisible by 4
Hence 1943 is a Ordinary year
Important Note: Case of century year. We divide that year by 400, if it is divided completely, will called leap year otherwise called Ordinary year.
Ex. In 1700, 1200, 500 Find Which is leap year and which is Ordinary year?
so,
1200⇒ Divisible by 400
Hence 1200 is a Leap year
1700⇒ Not Divisible by 400
Hence 1700 is a Ordinary year
500 ⇒ Not Divisible by 400
Hence 500 is a Ordinary year
let’s understand the sequence of odd days with the help of table numbers
| Odd days no. | 0 | 1 | 2 | 3 | 4 | 5 | 6 |
| Day | Sun | Mon | Tue | Wed | Thu | Fri | Sat |
Calendar Reasoning Formulas
Here are the basic Calendar Reasoning Formulas that help to solve Calendar Questions easily.
- Formula For Counting odd Days in days
- \frac{Days}{7}= Remainder (Odd Days)
- Formula For Counting Odd Days in a Month
- \frac{no. of Days-in-a-month}{7}= Remainder (Odd Days)
- Formula For Odd Days Days in Year
- \frac{year + no.-of-leap-year-in-these-year}{7}= Remainder (Odd Days)
Types Of Calendar Reasoning Questions
1. Counting Number of Odd Days
- Counting Extra / Odd Days in days
- According to Formula
\frac{Days}{7}= Remainder (Odd Days) - Ex. Find odd days in 67 days.
\frac{67}{7}= 4 (Odd Days)
- According to Formula
- Counting Extra / Odd Days in a Month
- According to Formula
\frac{no-of-Days-in-a-month}{7}= Remainder (Odd Days) - 28 Days ⇒ 0 odd days
- 29 Days ⇒ 1 odd days
- 30 Days ⇒ 2 odd days
- 31 Days ⇒ 3 odd days
- According to Formula
- Counting Extra/ Odd Days Days in Year
- According to Formula
\frac{year + no.-of-leap-year-in-these-year}{7}= Remainder (Odd Days) - Ex. Find Odd days in 10 years.
Leap year = \frac{40}{7}
Leap year = 2 (Remainder )
so, According to Formula
Odd Days = \frac{10+2}{7}
Odd Days =\frac{12}{7}
Odd Days= 5 (Remainder ) Final Ans
- According to Formula
2. Find a Day using given Date in Calendar Questions
Ex. What was the day on 13th April 1723 ?
Solution:
Write completed years, months & days till 13th April 1723. And Find Odd Days.
Leap year in 22 Year = \frac{22}{4}
= 5 Leap year
so, Formula For odd days in year
\frac{year + no.-of-leap-year-in-these-year}{7}= Remainder (Odd Days)
odd days = \frac{22+5}{7}
odd days = \frac{27}{7}= 6 Remainder
Finally, Total Odd Days
= 0+5+6+3+0+6 = 23
23 days can never be odd days, so we divide it by 7
\frac{23}{7} = 2 Remainder
For 2 Odd Days ⇒ Tuesday (Final Ans)
3. When Reference Date is not given in Calendar Questions
Ex. If today is Sunday, what day will be 128 days after today?
Solution:
Formula For Counting odd Days in days
\frac{Days}{7}= Remainder (Odd Days)
\frac{128}{7}= 2 (Odd Days)
So, 2 odd days are there. Therefore after Sunday is Tuesday.
Calendar Reasoning Tricks and Tips
Calendar reasoning is a common topic in competitive exams, requiring a deep understanding of days, dates, and their relationship with weeks, months, and years. Below are seven useful tricks and tips to solve calendar reasoning questions:
- Identify the Question: Read the Calendar Reasoning question properly and understand what we have to find Ex; you have to find Date, Odd Days, Day etc.
- Understand the Concept of Odd Days: Odd days refer to the number of extra days after calculating the full number of weeks. 1 week = 7 days.
For example, 9 days have 2 odd day (since 9 = 7 + 2, leaving 2 odd days). - Use Calendar Reasoning Formulas : There are multiple formulas available which can use according to the questions.
- Memorize Day Codes: Sunday: 0, Monday: 1, Tuesday: 2, Wednesday: 3, Thursday: 4, Friday: 5, Saturday: 6.
These codes will help you find the corresponding day based on your calculations. - Shifting day: Shifting a Day according to number of Odd days that you have calculate. It may be vary forward or backward according to a given questions.
With regular practice, using these tricks can help you solve calendar reasoning questions more quickly and accurately.
Must Read
Calendar Reasoning Questions and Answers
Q-1. If January 2008 Is Tuesday then what day of the week lies on Jan 1, 2009?
a) Monday
b) Wednesday
c) Thursday
d) Sunday
Q-2. If January 1, 2007, Where’s Monday then what day of the week lies on January 1, 2008?
a) Monday
b) Wednesday
c) Tuesday
d) Sunday
Q-3. If 6 March 2005 is Monday then what was the day of the week on 6th March 2004?
a) Monday
b) Saturday
c) Tuesday
d) Sunday
Q-4. If it was Sunday on Jan 1, 2006, Then what was the day of the week Jan 1, 2010?
a) Sunday
b) Saturday
c) Friday
d) Wednesday
Q-5. on 8th December 2007 Saturday Falls. what day of the week was it on 8th December 2006?
a) Sunday
b) Friday
c) Saturday
d) Wednesday
About the author
Hi,
I am Vaibhav Choudhary, Reasoning Teacher by Profession but Blogger by a passion. I would like to share my reasoning knowledge with students those are taking a preparation of government exam or competitive exam.