instruction:
In this task, you need to provide the correct option for a given problem from the provided options.
question:
Problem: at the faculty of aerospace engineering , 312 students study random - processing methods , 232 students study scramjet rocket engines and 114 students study them both . if every student in the faculty has to study one of the two subjects , how many students are there in the faculty of aerospace engineering ? 
Options: a ) 438 , b ) 436 , c ) 430 , d ) 442 , e ) 444
answer:
c


question:
Problem: of the 70 house in a development , 50 have a two - car garage , 40 have an in - the - ground swimming pool , and 35 have both a two - car garage and an in - the - ground swimming pool . how many houses in the development have neither a two - car garage nor an in - the - ground swimming pool ? 
Options: a ) 10 , b ) 15 , c ) 20 , d ) 25 , e ) 30
answer:
b


question:
Problem: a bag contains 21 toys numbered 1 to 21 . a toy is drawn and then another toy is drawn without replacement . find the probability that both toys will show even numbers . 
Options: a ) 5 / 21 , b ) 9 / 42 , c ) 6 / 22 , d ) 4 / 21 , e ) 3 / 21
answer:

b