In this task, you need to answer the given multiple-choice question on the general math. Classify your answers into 'a', 'b', 'c', 'd', and 'e'.

[EX Q]: Problem: the average of 11 numbers is 60 . out of 11 numbers the average of first 6 no . is 78 , and last 6 numbers is 75 then find 6 th number ? 
Options: a ) a ) 258 , b ) b ) 65 , c ) c ) 58 , d ) d ) 62 , e ) e ) 48
[EX A]: a

[EX Q]: Problem: a & b started a partnership business . a ' s investment was thrice the investment of b and the period of his investment was two times the period of investments of b . if b received rs 5000 as profit , what is their total profit ? 
Options: a ) 28000 , b ) 30000 , c ) 32000 , d ) 35000 , e ) none of these
[EX A]: d

[EX Q]: Problem: 3 ltr of water is added with 9 ltr of a solution containing 57 % of alcohol in the water . the % of alcohol in the new mixture is ? 
Options: a ) 41.5 % , b ) 42.75 % , c ) 43 % , d ) 45 % , e ) 45.75 %
[EX A]:
b