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

Input: Consider Input: Problem: the h . c . f . of two numbers is 32 and the other two factors of their l . c . m . are 13 and 14 . the larger of the two numbers is : 
Options: a ) 448 , b ) 299 , c ) 421 , d ) 460 , e ) 365

Output: a


Input: Consider Input: Problem: a 30 kg metal bar made of alloy of tin and silver lost 3 kg of its weight in the water . 10 kg of tin loses 1.375 kg in the water ; 5 kg of silver loses 0.375 kg . what is the ratio of tin to silver in the bar ? 
Options: a ) 1 / 4 , b ) 2 / 5 , c ) 1 / 2 , d ) 3 / 5 , e ) 2 / 3

Output: e


Input: Consider Input: Problem: the ratio of 2 numbers is 3 : 7 and their h . c . f . is 12 . their l . c . m . is ? 
Options: a ) 20 , b ) 24 , c ) 252 , d ) 136 , e ) 160


Output: c