Consider that [] represents greatest integer function.
Find the value of `[(1)/(4)]+[(1)/(4)+(1)/(100)]+...+ [(1)/(4)+(99)/(100)]`.

Explanation

`[(1)/(4)] + [(1)/(4)+(1)/(100)] +.....+[(1)/(4)+ (99)/(100)]`
`ubrace([(1)/(4)]+[(1)/(4)+(1)/(100)]+.....+[(1)/(4)+(74)/(100)])_("each equal to zero")+ubrace([(1)/(4)+(74)/(100)]+[(1)/(4)+(75)/(100)]+.......+[(1)/(4)+(99)/(100)])_("each equal to one")`
`= 1 xx 25`
= 25