Question

how many three digit numbers are divisible by 4

Answer 1

 we have 225 three digit numbers that are divisible by 4. 

Answer 2

3 digit number starting from 100 to 999 are 1000–99 = 901

100,104,108,112,116,………………………996

This will form an arithmetic progression (A.P.)

Here a= 100, d= 4, tn or nth term = 996

We know that an= a+(n-1)d

996=100+(n-1)4,

896/4= n-1,

n-1= 224,

n= 225

Hence there are 225

3-digit numbers divisible by 4..


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