The year 2000 is a leap year. The year 2100 is not a leap year. The following are the complete rules for determining a leap year:

(i) Year $Y$ is not a leap year if $Y$ is not divisible by 4 .

(ii) Year $Y$ is a leap year if $Y$ is divisible by 4 but not by 100 .

(iii) Year $Y$ is not a leap year if $Y$ is divisible by 100 but not by 400 .

(iv) Year $Y$ is a leap year if $Y$ is divisible by 400 .

How many leap years will there be from the years 2000 to 3000 inclusive?
(A) 240
(B) 242
(C) 243
(D) 244
(E) 251
The year 2000 is a leap year. The year 2100 is not a leap year. The following are the complete rules for determining a leap year:

(i) Year $Y$ is not a leap year if $Y$ is not divisible by 4 .

(ii) Year $Y$ is a leap year if $Y$ is divisible by 4 but not by 100 .

(iii) Year $Y$ is not a leap year if $Y$ is divisible by 100 but not by 400 .

(iv) Year $Y$ is a leap year if $Y$ is divisible by 400 .

How many leap years will there be from the years 2000 to 3000 inclusive?
(A) 240
(B) 242
(C) 243
(D) 244
(E) 251

## Solution

If we consider the stretch of 1001 years between 2000 and 3000, there are 251 'years' altogether that are divisible by 4 . Every year is a leap year except 2100, 2200, 2300, 2500, 2600, 2700, 2900, and 3000. This means that there are $251-8=243$ leap years between 2000 and 3000 .

ANSWER: $(\mathrm{C})$