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 large field of 900 hectares is divided into two parts . the difference of the areas of the two parts is one - fifth of the average of the two areas . what is the area of the smaller part in hectares ? 
Options: a ) 435 hectares . , b ) 425 hectares . , c ) 445 hectares . , d ) 415 hectares . , e ) 405 hectares .
answer:
e


question:
Problem: product of two co - prime numbers is 117 . their l . c . m should be 
Options: a ) 222 , b ) 117 , c ) 278 , d ) 767 , e ) 298
answer:
b


question:
Problem: the average age of applicants for a new job is 10 , with a standard deviation of 8 . the hiring manager is only willing to accept applicants whose age is within one standard deviation of the average age . assuming that all applicants ' ages are integers and that the endpoints of the range are included , what is the maximum number of different ages of the applicants ? 
Options: a ) 8 , b ) 16 , c ) 17 , d ) 18 , e ) 34
answer:

c