instruction:
In this task, you need to provide the correct option for a given problem from the provided options.
question:
Problem: in a colony of 70 residents , the ratio of the number of men and women is 4 : 3 . among the women , the ratio of the educated to the uneducated is 1 : 4 . if the ratio of the number of educated to uneducated persons is 8 : 27 , then find the ratio of the number of educated to uneducated men in the colony ?
Options: a ) 1 : 7 , b ) 2 : 3 , c ) 1 : 8 , d ) 2 : 3 , e ) 1 : 3
answer:
e

question:
Problem: at an international conference , " red " world countries and " blue " world countries are the only participants . the ratio of " red " world participants to " blue " world participants is 5 : 5 . if one - third of " red " world participants are left - handed and two - thirds of " blue " world participants are left - handed , then what is the fraction of the participants who are left - handed ?
Options: a ) 1 / 4 , b ) 1 / 8 , c ) 1 / 6 , d ) 1 / 2 , e ) 1
answer:
d

question:
Problem: a bag holds 4 red marbles and 3 green marbles . if you removed two randomly selected marbles from the bag , without replacement , what is the probability that both would be red ?
Options: a ) 4 / 14 , b ) 1 / 5 , c ) 3 / 10 , d ) 2 / 5 , e ) 1 / 2
answer:
a