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 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
a

Problem: of the people who responded to a market survey , 240 preferred brand x and the rest preferred brand y . if the respondents indicated a preference for brand x over brand y by ratio of 6 to 1 , how many people responded to the survey ?
Options: a ) 80 , b ) 160 , c ) 280 , d ) 360 , e ) 480
c