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

Input: Consider Input: Problem: find the fraction which has the same ratio to 2 / 6 that 3 / 4 has to 1 / 2 
Options: a ) 1 / 2 , b ) 2 / 5 , c ) 6 / 8 , d ) 9 / 4 , e ) 7 / 5

Output: a


Input: Consider Input: Problem: the least whole number which when subtracted from both the terms of the ratio 6 : 7 to give a ratio less than 16 : 21 , is ? 
Options: a ) 3 , b ) 4 , c ) 5 , d ) 6 , e ) 7

Output: a


Input: Consider Input: 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


Output: c