How many LEAP YEARS can we get for every 100 years?

How many LEAP YEARS can we get for every 100 years?

a) 25 b) 24 c) 76 d) 75

[Deepakchalwadi]

We know, for ordinary year there are 365 days and dividing 365 days by 7 we get 1 as remainder. This means for ordinary year we have 1 odd day. Similarly, for a leap year we will have 2 odd days.

Now, let us find the number of odd day in a century. 100 years = 24 leap years + 76 ordinary years

= (24x2) + (76x1) [Odd days]

= 48 + 76

= 124

Divide 124 by 7 we get remainder 5.

Therefore, in 100 years we will have 5 odd days.

Hence, we can calculate the odd days from 200, 300 and 400 years.

100 years = 5 odd days 200 years = 2 x 5 = 10 days = 3 odd days [divide 10 by 7 we get remainder 3] 300 years = 3 x 5 = 15 days = 1 odd days [divide 15 by 7 we get remainder 1] 400 years = 4 x 5 = 20 days + 1 (+1 as 400 is a leap year

itself)

= 21 days

= 0 odd days [divide 21 by 7 we get remainder 0]

Note:-
we need to know the conditions of a leap year

1. every year divisible by 4 is a leap year EXCEPT IT IS NOT A CENTURY ie. 100 is not a leap year

2. every 4th CENTURY IS A LEAP YEAR ie., 400, 800, 1200 (in short years in multiples of 400)

3. Any year indivisible by 4 is not a leap year

Thats why that +1 was added with 400

[pankajmahato]

100/4 = 25 how to calculate and get 24 leap year ?

[sushmasingh]

sir aap bahut aacha samjhaye kal meera paper hai aur mujhe ye swal aa nhi rha tha '

[gourangainformationandtech]

500 century me kitne leap year hote hai???

[anshulkulshreshtha]

U have to explain this... By which way we get 24 years and you go 100, 200, 300 ....

[raghavgite]

सर क्या समझाया कुछ समझ नही आया। सॉरी।
कैसे पता लगाते है कि किसी भी सेंचुरी ईयर में कितने लीप ईयर होते है???

[mariagideon]

Acentury is100 years ahead is365 day and aleap year is 366 day.aleap year occurs every four years.how many day s are there inacentury

[arara__]

This is unclear... I still don't fully inderstand

[ashlinalopezcrazysagittari]

THANK YOU SO VERY MUCH SIR YOUR EXPLANATIONS ARE SO HELPFUL EASILY UNDERSTANDABLE.
ALL DOUBTS CLEAR 😊👍

[sandiproy]

Khud ka concept i clear nahi hai to video banata kiu hai?

[Sulabh_kumar_]

You are just wasting the time of students...

[hitanshukarnesh]

Kuch aata bhi hai ya nahi yeh koi samjana ka method hai