TASK DEFINITION: In this task, you need to provide the correct option for a given problem from the provided options.
PROBLEM: Problem: 1 blue dice and 2 red dice are thrown . . . . what is the probability that the no . appeared on blue dice is always greater than both the no . appeared on the 2 red dice . . 
Options: a ) 55 / 216 , b ) 56 / 216 , c ) 57 / 216 , d ) 54 / 216 , e ) 53 / 216

SOLUTION: a

PROBLEM: Problem: the ratio , by volume , of bleach ( b ) to detergent ( d ) to water in a certain solution is 2 : 40 : 100 . the solution will be altered so that the ratio of bleach to detergent is tripled while the ratio of detergent to water is halved . if the altered solution will contain 300 liters of water , how many liters of detergent will it contain ? 
Options: ['a ) 60', 'b ) 50', 'c ) 40', 'd ) 80', 'e ) 70']

SOLUTION: a

PROBLEM: Problem: two numbers are in the ratio of 3 : 8 . if 24 be subtracted from each , they are in the ratio of 4 : 9 . find the numbers ? 
Options: a ) 60,89 , b ) 60,88 , c ) - 27 , - 128 , d ) 60,84 , e ) - 72 , - 192

SOLUTION:
e