instruction:
In this task, you need to provide the correct option for a given problem from the provided options.
question:
Problem: two vessels p and q contain 62.5 % and 87.5 % of alcohol respectively . if 2 litres from vessel p is mixed with 6 litres from vessel q , the ratio of alcohol and water in the resulting mixture is ? 
Options: a ) 13 : 1 , b ) 13 : 3 , c ) 13 : 8 , d ) 13 : 5 , e ) 13 : 2
answer:
b


question:
Problem: a starts a business with $ 3500 . after 5 months , b joins with a as his partner . after a year , the profit is divided in the ratio 2 : 3 . b ' s contribution in the capital is 
Options: a ) 7000 , b ) 9000 , c ) 8000 , d ) 9900 , e ) 7900
answer:
b


question:
Problem: if x and y are both odd prime numbers and x < y , how many distinct positive integer w factors does 2 xy have ? 
Options: a ) 3 , b ) 4 , c ) 6 , d ) 8 , e ) 12
answer:

d