CAT / #Logical Reasoning

October 31, 2017 @ 03:12 PM

Important Concepts on Calendar

 
The year consists of 365 days, 5 hours, 48 minutes (52 weeks and 1 odd day). An extra day is added once in every fourth year which was called the leap year, which has 366 days (52 weeks and 2 odd days).To find the day of any given date of the year, you need to understand the calendar calculations:
 
1) 1st January 1 AD was Monday therefore; we must count days from Sunday. This means the 0th day was Sunday, so the 7th day was Sunday again and so on and so forth.
 
2) The day gets repeated after every seventh day (concept of a week), if today is Monday, then 28th day from now will also be Monday as it a multiple of 7 (28/7 = 4, so four weeks). Here the 30 day will be calculated by 30/7, which is 4 weeks and 2 days, these two days are called odd days. With starting day as Monday and two odd days, the day will be Wednesday; this point is the most critical in calendars. The other of looking at it is since the 28th day is Monday, so the 30th day will be Wednesday. But you have to understand and use the concept of odd days as the question may be about thousands of years.
 
3) In a normal year there are 365 days so 52 weeks and 1 odd day, in a leap year there are 366 days so 52 weeks and 2 odd days.
 
4) In 100 years there are 24 leap years and 76 normal years, so the number of odd days are 24(2) + 76 = 124, which is 17 weeks + 5 odd days, so 100 years have 5 odd days.
 
5) In 200 years the number of odd days is twice the number in 100 years which is 10, which is one week and 3 odd days, so 200 years have 3 odd days. In 300 years, the number of odd days is 15, which is two weeks and 1 odd day, so 300 years have one odd day.
 
6) 400 year is a leap year; similarly, the multiples of 400 are also leap years.
 
7) In 400 years, the number of odd days become 20 + 1(from the leap year), so total days are 21, which is three weeks and 0 odd days. In 400 years there are 0 odd days
 
Important Formulas:
 
Odd Days:
 
We are supposed to find the day of the week on a given date. For this, we use the concept of 'odd days'. In a given period, the number of days more than the complete weeks are called odd days.
 
Leap Year:
 
i. Every year divisible by 4 is a leap year if it is not a century.
ii. Every 4th century is a leap year and no other century is a leap year.
 
Note: A leap year has 366 days.
 
Examples:
 

1) Each of the years 1948, 2004, 1676 etc. is a leap year.

2) Each of the years 400, 800, 1200, 1600, 2000 etc. is a leap year.

3) None of the years 2001, 2002, 2003, 2005, 1800, 2100 is a leap year.

 
Ordinary Year:
 
The year which is not a leap year is called an ordinary year. An ordinary year has 365 days.
 

Counting of Odd Days:

1 ordinary year = 365 days = (52 weeks + 1 day.)
1 ordinary year has 1 odd day

 

1 leap year = 366 days = (52 weeks + 2 days)
1 leap year has 2 odd days

 

100 years = 76 ordinary years + 24 leap year
= (76 x 1 + 24 x 2) odd days = 124 odd days
= (17 weeks + days) 5 odd days.

 
A number of odd days in 100 years = 5
A number of odd days in 200 years = (5 x 2) 3 odd days.
A number of odd days in 300 years = (5 x 3) 1 odd day.
A number of odd days in 400 years = (5 x 4 + 1) 0 odd day.
Similarly, each one of 800 years, 1200 years, 1600 years, 2000 years etc. has 0 odd days.
 
No. of days: 0 1 2 3 4 5 6
Day: Sun. Mon. Tues. Wed. Thurs. Fri. Sat.
 
 
CAT 2017 exam is being conducted on 26th November 2017.
Stay informed, Stay ahead and stay inspired with MBA Rendezvous  

Crucial Dates, You Should not Miss

TAPMI, Manipal
Admission Application closes on January 16, 2018 for 2018-20
BIMTECH, Greater Noida
Admissions open for PGDM Programmes at BIMTECH. Apply Now !
Lal Bahadur Shastri Institute of Management
Admissions are Open at LBSIM, Delhi. Apply Now !
FORE School of Management
Apply for PGDM & PGDM-IB Programmes. Application Deadline is December 22, 2017.
Goa Institute of Management
PGDM Admissions Open at GIM. Apply Before January 5, 2018
NIRMA
Last Date to Apply for MBA (Full Time) Programme at NIRMA is January 09, 2018
XAT 2018
Application Last Date 30th November 2017
IMI New Delhi
Application closes 4th December 2017
XIM Bhubaneshwar
Last Date 8th December 2017
SIBM Bengaluru
Apply for SNAP 2017 to be held on Dec 17 and apply for SIBM-Bengaluru through the SNAP Form
Institute of Rural Management Anand
IRMASAT will be conducted on February 4,2018, Apply Before December 31,2017
IBSAT 2017
Last date for IBSAT registration is December 12 , 2017
SSBF
Last date to register for SNAP is 24th November, 2017. Last date for SSBF is 2nd January 2018
SIBM Hyderabad
Apply for SNAP 2017 to be held on Dec 17 and apply for SIBM-Hyderabad through the SNAP Form
K J Somaiya Institute of Management Studies & Research, Mumbai
Last date for Application is 31st Jan, 2018
SDMIMD Mysore
Application for PGDM 2018-20 at SDMIMD is open till February 28, 2018
Institute of Management Technology
Application closes on November 24, 2017
MDI Murshidabad
Application for PGPM 2018-20 at MDI Murshidabad is open till November 24, 2017

Admission Open Now

Following Colleges are accepting applications.

INTERNATIONAL MANAGEMENT INSTITUTE

Admissions open for 2018-20

PGDM, PGDM (HRM), PGDM(B & FS), Executive PGDM

Apply Online