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

Problem: in a class of 120 students , 25 did not opt for math . 10 did not opt for science and 2 did not opt for either . how many students of the class opted for both math and science ? 
Options: a ) 63 , b ) 95 , c ) 77 , d ) 87 , e ) 48
d

Problem: the probability of two events a and b are 0.25 and 0.40 respectively . the probability that both a and b occur is 0.20 . the probability that neither a nor b occur is _________ 
Options: a ) 0.45 , b ) 0.4 , c ) 0.55 , d ) 0.05 , e ) 0.6
c

Problem: of the diplomats who attended a summit conference : 20 spoke french , 32 did not speak hindi and 20 % of the diplomats spoke neither french nor hindi . if 10 % of the diplomats spoke both french and hindi , then how many diplomats attended the conference ? 
Options: a ) 70 , b ) 96 , c ) 108 , d ) 120 , e ) 150

d