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

[Q]: 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
[A]: d

[Q]: Problem: an order was placed for the supply of a carper whose length and breadth were in the ratio of 3 : 2 . subsequently , the dimensions of the carpet were altered such that its length and breadth were in the ratio 7 : 3 but were was no change in its parameter . find the ratio of the areas of the carpets in both the ?
Options: a ) 8 : 6 , b ) 8 : 7 , c ) 8 : 1 , d ) 8 : 2 , e ) 8 : 4
[A]: b

[Q]: Problem: if $ 1092 are divided between worker a and worker b in the ratio 5 : 8 , what is the share that worker b will get ?
Options: a ) 60.32 % , b ) 61.54 % , c ) 62.21 % , d ) 62.76 % , e ) 63.87 %
[A]:
b