instruction:
In this task, you need to provide the correct option for a given problem from the provided options.
question:
Problem: the ratio of the arithmetic mean of two numbers to one of the numbers is 5 : 7 . what is the ratio of the smaller number to the larger number ? 
Options: a ) 2 : 3 , b ) 2 : 5 , c ) 3 : 7 , d ) 4 : 9 , e ) 5 : 6
answer:
c


question:
Problem: at the faculty of aerospace engineering , 312 students study random - processing methods , 232 students study scramjet rocket engines and 112 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 ) 424 . , b ) 428 . , c ) 430 . , d ) 432 . , e ) 436
answer:
d


question:
Problem: the l . c . m of two numbers is 48 . the numbers are in the ratio 1 : 3 . the sum of numbers is : 
Options: a ) 28 , b ) 30 , c ) 40 , d ) 50 , e ) 64
answer:

e