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

[Q]: Problem: what is the square root of 261,121 ? 
Options: a ) 476 , b ) 489 , c ) 497 , d ) 511 , e ) 524
[A]: d


[Q]: 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
[A]: e


[Q]: Problem: a can contains a mixture of liquids a and b is the ratio 7 : 5 . when 12 litres of mixture are drawn off and the can is filled with b , the ratio of a and b becomes 7 : 9 . how many liter of liquid a was contained by the can initially ? 
Options: a ) 25 , b ) 27 , c ) 29 , d ) 28 , e ) 31
[A]:
d