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

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
a

Problem: 24 oz of juice p and 25 oz of juice v are mixed to make smothies x and y . the ratio of p to v in smothie x is 4 is to 1 and that in y is 1 is to 5 . how many ounces of juice p are contained in the smothie x ? 
Options: a ) 5 , b ) 10 , c ) 15 , d ) 20 , e ) 25
e

Problem: how many trailing zeroes does 49 ! + 50 ! have ? 
Options: a ) 9 , b ) 10 , c ) 11 , d ) 12 , e ) 22

b