instruction:
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'.
question:
Problem: a mixture contains alcohol and water in the ratio 4 : 3 . if 8 litres of water is added to the mixture , the ratio becomes 4 : 5 . find the quantity of alcohol in the given mixture 
Options: a ) 15 litres , b ) 10 litres , c ) 30 litres , d ) 22 litres , e ) 16 litres
answer:
e


question:
Problem: a confectioner decides to sell all of his pastry due to the coming holiday . his pastry goods are equally divided among a group of 28 regular customers . if only 49 customers come to the bakery , each one will receive 6 less pastry goods . how much pastry does the confectioner needs to sell ? 
Options: a ) 392 , b ) 412 . , c ) 432 . , d ) 502 , e ) 522
answer:
a


question:
Problem: if k is a non - negative integer and 30 ^ k is a divisor of 929260 then 3 ^ k - k ^ 3 = 
Options: a ) 0 , b ) 1 , c ) 45 , d ) 130 , e ) 520
answer:

b