Lets be the sum of the digits of the number `15^(2)xx5^(18)` in base 10. Then

Options

A. s lt 6
B. `6inslt140`
C. `140inslt148`
D. `sin148`

Answer

B

Explanation

`15^(2)xx5^(18)`
`=9xx5^(20)`
`[log_(10)(9xx5^(20))]=[2log_(10)^(3)+20log_(10)5]`
`=[2xx4771+20(1-0.3010)]`
`=14" {characteristic}"`
Hence the number have 15 digits
At worst all digits can have value 9
Hence sum should less than 135
And the last digit should be 5 Hence
Sum should greater than Or equal to 6