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

[EX Q]: Problem: how many prime numbers between 1 and 100 are factors of 67830 ? 
Options: a ) 4 , b ) 5 , c ) 6 , d ) 3 , e ) 2
[EX A]: c

[EX Q]: 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
[EX A]: d

[EX Q]: Problem: the h . c . f . of two numbers is 23 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 ) 355
[EX A]:
c