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

[EX Q]: Problem: how many trailing zeroes does 53 ! + 54 ! have ? 
Options: a ) 12 , b ) 13 , c ) 14 , d ) 15 , e ) 16
[EX A]: b

[EX Q]: Problem: two vessels having volumes in the ratio 3 : 5 are filled with water and milk solutions . the ratio of milk and water in the two vessels are 2 : 3 and 3 : 1 respectively . if the contents of both the vessel are empties into a larger vessel , find the ratio of milk and water in the larger vessel . 
Options: a ) 99 : 61 , b ) 99 : 160 , c ) 61 : 160 , d ) 61 : 99 , e ) 99 : 160
[EX A]: a

[EX Q]: Problem: find the number of different prime factors of 2400 
Options: a ) 4 , b ) 2 , c ) 3 , d ) 5 , e ) 6
[EX A]:
c