To choose which of the given years is not a leap year, we need to determine if they are divisible by 4. Recall that the number is divisible by 4 if the number formed by the last two digits is divisible by 4. Using this method, we will check the given years.
Given Year
Formed number
Is it divisible by 4?
18 84
84
Yes
19 04
4
Yes
19 00
0
Yes
19 40
40
Yes
All four years are divisible by 4, so they can be leap years. However, there is a second condition that tells us that the year is not a leap year if it is divisible by 100 and not divisible by 400. The number is divisible by 100 if it has at least two zeros at its last two digits. Therefore, we should check if 1900 is divisible by 400.
1900/400=1900/4*100=19/4=4.75
Since 1900 is not divisible by 400, 1900 is not a leap year, and the answer G is correct.
