In this task, you need to provide the correct option for a given problem from the provided options.

Input: Consider Input: Problem: on multiplying a number a by 153 , the result obtained was 102325 . however , it is found that both the 2 ' s are wrong . find the correct result .
Options: a ) 104345 , b ) 107375 , c ) 108385 , d ) 109395 , e ) 105355

Output: d

Input: Consider Input: Problem: the l . c . m . of two numbers is 54 . the numbers are in the ratio 2 : 3 . then sum of the number is :
Options: a ) 28 , b ) 32 , c ) 40 , d ) 45 , e ) 54

Output: d

Input: Consider Input: Problem: what is the greatest positive integer n such that 3 ^ n is a factor of 36 ^ 300 ?
Options: a ) 100 , b ) 200 , c ) 300 , d ) 600 , e ) 900
Output: d