In this task, you need to provide the correct option for a given problem from the provided options.

Q: Problem: if x and y are both odd prime numbers and x < y , how many distinct positive integer factors does 2 xy have ? 
Options: a ) 3 , b ) 4 , c ) 6 , d ) 8 , e ) 12

A: d
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Q: Problem: at garage sale , all of the prices of the items sold were different . if the price of a radio sold at the garage sale was both the 9 th highest price and the 35 th lowest price among the prices of the items sold , how many items were sold at the garage sale ? 
Options: a ) 43 , b ) 28 , c ) 44 , d ) 49 , e ) 46

A: a
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Q: Problem: at the faculty of aerospace engineering , 312 students study random - processing methods , 222 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 ) 404 , b ) 452 , c ) 444 , d ) 468 , e ) 422

A:
e
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