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

[Q]: Problem: there are 12 slate rocks , 16 pumice rocks , and 8 granite rocks randomly distributed in a certain field . if 2 rocks are chosen at random and without replacement , what is the probability that both rocks will be slate rocks ? 
Options: a ) 3 / 32 , b ) 7 / 64 , c ) 11 / 105 , d ) 15 / 127 , e ) 19 / 134
[A]: c


[Q]: 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
[A]: c


[Q]: Problem: the ratio of numbers is 5 : 6 and their h . c . f is 4 . their l . c . m is : 
Options: a ) 12 , b ) 16 , c ) 24 , d ) 48 , e ) 120
[A]:
e