Tuesday, 27 June 2017

Calendar 2: Calendar Problems for SSC Exams

In this post, we will discuss calendar problems and solve them using smart tricks to save time in SSC Exams
Calendar Problems

Calendar problems take a lot of time while solving in SSC Exams. Though calendar problems appear to be difficult and confusing they are the easiest problems to solve, if you know the right method. In this post, we will solve problems that are often asked in the SSC Exams using the smart tricks. Before moving further let's quickly review what is calendar and how to use reference chart while solving problems.
Calendar Problems
Calendar Problems based on day of the week for the given date by odd days

Example 1:  Calendar Problems for SSC Exams

Problem: Today is Tuesday. What day will be after 46 days?

Solution:
Step 1:
Simplify the days into complete weeks and odd days
46 days can be simplified as 6 weeks and 4 days

Step 2:
Hence, there are 4 odd days.

Step 3:
Since there are 4 odd days, and the reference point is Tuesday, we need to add 2 more odd days.

Tuesday (2 odd days) + 4 days = 6 odd days

Step 4:
Calendar Problems
According to reference chart 6 odd days = Saturday.

Therefore, Saturday will be the day after 46 days.

Example 2: Calendar Problems for SSC Exams

Problem: On what dates of May 2003, did Friday fall?

Solution:
Step 1:
Calculate the odd days from starting till May 2003
since 2000 is divisible by 400 the number of odd days in is 0. 

Step 2:
Number of odd days from 2000 till May 2003
2001 + 2002 + (January + February+ March +April) + 1

Step 3:
2001 = 1 odd day
2002 = 1 odd day
Calendar Problems
From the above reference chart, we get 1 odd day from  Jan – April. Since the code for May is 1.
Step 4:
Add all the odd days
1 + 1 + 1 + 1 = 4 odd days

Step 5:
4 days indicate that 1st May was a Thursday.
Therefore, 1st may 2003 was a Thursday

Step 6:
Hence, 2nd May was a Friday.

Step 7:
Fridays = 2nd may, 9th
May, 16th May, 23rd May, 30th May

Therefore, in the month of May in 2003, Friday's will fall on 2nd, 9th, 16th, 23rd and 30th May.

Calendar Problems based on day of the week without any reference

Example 1:  Calendar Problems for SSC Exams

Problem: What day of the week was 18th February 1348?

Solution:
Calculate the number of odd days from starting till 18th February 1348

Step 1:
Split the years to make it easy for calculation
1200 years + 100 years + 47 years + January + 18 days
1200 years =  0 odd days; 100 years = 5 odd days; 47 years = 11 leap years + 36 ordinary years (58 odd days); January = 3 odd days; 18 odd days

Step 2:
Add the odd days
0 + 5 + 47 + 11 + 3 + 18

Step 3:
By simplification:
= 0 + 5 + 5 + 4 + 3 + 4
= 3 weeks
= 0 odd days

Step 4:
Hence, 0 days indicates that it was a Sunday.

Therefore, 18th February 1348 was a Sunday.

Example 2:  Calendar Problems for SSC Exams

Problem: What day of the week will be 8th June 2215?

Solution:
Calculate the number of odd days from starting till 8th June 2215

Step 1:
2000 = 0 odd days
200 = 3 odd days
14 years = 11 ordinary years + 3 leap years = 11 + 6 = 17 odd days = 3 odd days          
Jan till June = 4 odd days
8 days = 8 odd days   

Step 2:
Add all the odd days
3 + 3 + 4 + 8 = 18 odd days = 4 odd days
Hence, 4 odd days indicates a Thursday (According to reference chart)

Therefore, 8th June 2215 was a Thursday.

Calendar Problems for Practice

Problem: Monday falls on 4th April 1988. What was the day on 3rd Nov 1987? 

1) Tuesday        2) Wednesday          3) Monday             4) Thursday 

Problem: Today is Friday, after 62 days it will be 

1) Friday            2) Thursday              3) Saturday            4) Monday 

Do leave your answers in the comment section.

Stay tuned for the next post.
Calendar Problems
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