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

[EX Q]: Problem: there are 250 doctors and nurses at a hospital . if the ratio of doctors to nurses is 2 to 3 , how many nurses are at the hospital ? 
Options: a ) 134 , b ) 138 , c ) 142 , d ) 146 , e ) 150
[EX A]: e

[EX Q]: Problem: a bag contains 5 red , 4 blue and 3 green balls . if 2 ballsare picked at random , what is the probability that both are red ? 
Options: a ) 1 / 13 , b ) 2 / 23 , c ) 5 / 33 , d ) 4 / 27 , e ) 3 / 23
[EX A]: c

[EX Q]: Problem: two vessels p and q contain 62.5 % and 87.5 % of alcohol respectively . if 3 litres from vessel p is mixed with 4 litres from vessel q , the ratio of alcohol and water in the resulting mixture is ? 
Options: a ) 179 : 2 , b ) 178 : 3 , c ) 179 : 1 , d ) 179 : 54 , e ) 179 : 45
[EX A]:
d