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

Input: Consider Input: Problem: if all 6 are replaced by 9 , the algebric sum of all numbers from 1 to 100 ( both inclusive ) varies by ,
Options: a ) 980 , b ) 330 , c ) 660 , d ) 990 , e ) 300

Output: b

Input: Consider Input: Problem: the h . c . f . of two numbers is 25 and the other two factors of their l . c . m . are 13 and 14 . the larger of the two numbers is :
Options: a ) 276 , b ) 299 , c ) 322 , d ) 345 , e ) 350

Output: e

Input: Consider Input: Problem: the sub - duplicate ratio of 25 : 16 is
Options: a ) 4 : 3 , b ) 1 : 2 , c ) 1 : 3 , d ) 5 : 4 , e ) 2 : 3
Output: d