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

Problem: the h . c . f . of two numbers is 25 and the other two factors of their l . c . m . are 13 and 14 . the larger of the two numbers is : 
Options: a ) 276 , b ) 299 , c ) 322 , d ) 345 , e ) 350
e

Problem: in a college the ratio of the numbers of boys to the girls is 8 : 5 . if there are 160 girls , the total number of students in the college is ? 
Options: a ) 562 , b ) 356 , c ) 452 , d ) 416 , e ) 512
d

Problem: two numbers are in the ratio of 5 : 8 . if 30 be subtracted from each , they are in the ratio of 5 : 9 . find the numbers ? 
Options: a ) 122,195 , b ) 121,199 , c ) 120,192 , d ) 102,192 , e ) 126,109

c