Reasonin Rakesh Yadav

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CALENDER
12
CHAPTER
(i)
Two Types of years
o"kks± ds nks izdkj
Ordinary year = 365 Days
= 52 weeks + 1 day Extra
lk/kj.k o"kZ = 365 fnu = 52 lIrkg +
1 vfrfjDr fnu
(ii) Leap Year = 366 Days = 52
weeks + 2 days Extra
yhi o"kZ = 366 fnu = 52 lIrkg + 2
vfrfjDr fnu
Distinction (to know) of leap
year An year which is divisible
by 4 completely is
called Leap Year otherwise
called simple year.
yhi o"kZ dh igpku og o"kZ tks iw.kZ
:i ls 4 ls foHkkftr gksrk gSA yhi o"kZ
dgykrk gSA vU;Fkk lkekU; o"kZ dgykrk gSA
But in case of century year.
We divide that year by 400, if
divided completely will called
Leap Year otherwise called
Simple Year.
ijUrq 'krkCnh o"kZ ds lEca/ es a ge ml o"kZ
dks 400 ls foHkkftr djrs gSA ;fn ;g
400 ls iw.kZr;k foHkkftr gks rks yhi o"kZ
vU;Fkk lkekU; o"kZ dgykrk gSA
Ex. In 1323, 1726, 1186, 1943,
1784, 2012
Find which is Leap Year and
which is Ordinary Year?
es a dkSu lk yhi o"kZ vkSj dkSu lk lkekU;
o"kZ gSA
Sol. 1323 Not divisible by 4
hence Ordinary year
1323 4 ls foHkkftr ugha gSA vr%
lk/kj.k o"kZ
1726 Not divisible by 4
hence Ordinary Year
1726 4 ls foHkkftr ugha gSA vr%
lk/kj.k o"kZ
1186 Not divisible by 4
hence Ordinary Year
1186 4 ls foHkkftr ugha gSA vr%
lk/kj.k o"kZ
1943 Not divisible by 4
hence Ordinary Year
1943 4 ls foHkkftr ugha gSA vr%
lk/kj.k o"kZ
1784 Divisible by 4 hence
Leap Year
1784 4 ls foHkkftr gS vr% yhi o"kZ
2012 divisible by 4 hence
Leap Year
2012 4 ls foHkkftr gS vr% yhi o"kZ
Century Year Case
'krkCnh o"kZ ds lEca/ esa]
Ex. In 1700, 1200, 500, 1900,
2000. 2100. Find which is
Leap Year and which is ordinary
Year?
1700, 1200, 500, 1900, 2000.
2100 es a dkSu lk yhi o"kZ vkSj dkSu lk
lk/kj.k o"kZ gSA
All are century years hence
we check these years dividing
by 400
lHkh 'krkCnh o"kZ gSA vr% ge 400 ls
foHkkftr djds irk djsxsa fd dkSu&lk o"kZ
D;k gSA
Rakesh Yadav Sir
1700 Not divisible by 400
hence Ordinary Year
1700 400 ls foHkDr ugha gSA
vr% lk/kj.k o"kZ
1200 divisible by 400
hence Leap Year
1200 400 ls foHkDr gSA vr% yhi
o"kZ
500 Not divisible by 400
hence Ordinary Year
500 400 ls foHkDr ugha gSA
vr% lk/kj.k o"kZ
1900 Not divisible by 400
hence Ordinary Year
1900 400 ls foHkDr ugha gSA
vr% lk/kj.k o"kZ
2000 divilsible by 400
hence Leap Yaer
2000 400 ls foHkDr ugha gSA
vr% yhi o"kZ
2100 Not divisible by 400
hence Ordinary year
2100 400 ls foHkDr ugha gks jgk gSA
vr% lk/kj.k o"kZ
Extra Days/Odd days:- Most
of questions from this topic
depends on Extra days
vfrfjDr fnu@fo"ke fnu%& bl vè;k;
ds vf/drj iz'u vfrfjDr fnuks a ij vk/kfjr
gksrs gaSA
Methods to Find Extra days:-
iz'u vfrfjDr fnuksa ij vk/kfjr gksrk gSA
(a) Extra days in days
days
= Remaining days are
7
Extra days
fnu
(a) vfrfjDr fnu 7
vfrfjDr fnu gksrs gSA
= 'ks"k cps gq;s
Ex. Find Extra days in 77 days, 12
days, 67 days, 41 days, 39
days, 26 days
Sol.
77 fnu] 12 fnu] 67 fnu] 41 fnu] 39
fnu vkSj 26 fnu es a esa vfrfjDr fnuksa dh
la[;k Kkr djsa
In 77 days = 77 7 = 0(Remainder)
77 fnu es a = 77 7 = 0 ('ks"kiQy)
hence 0 is Extra day
vr% 0 vfrfjDr fnu gS
In 12 days = 12 7 = 5 (Remainder)
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