instruction:
In this task, you need to provide the correct option for a given problem from the provided options.
question:
Problem: the contents of two vessels containing copper and tin in the ratio 1 : 2 and 2 : 5 are mixed in the ratio 1 : 4 . the resulting mixture will have copper and tin in the ratio ? 
Options: a ) 15 : 32 , b ) 21 : 28 , c ) 31 : 74 , d ) 33 : 37 , e ) 41 : 92
answer:
c


question:
Problem: a jar contains 20 red , 20 blue , 6 yellow and 4 pink balls . if two balls are to be selected at random and without replacement , approximately what is the probability both of them to be the same colour ? 
Options: a ) 1 / 25 , b ) 1 / 15 , c ) 1 / 3 , d ) 1 / 2 , e ) 1
answer:
c


question:
Problem: the h . c . f . of two numbers is 63 and the other two factors of their l . c . m . are 11 and 17 . the larger of the two numbers is : 
Options: a ) 3421 , b ) 2132 , c ) 1111 , d ) 4323 , e ) 1071
answer:

e