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

[EX Q]: Problem: 60 kg of an alloy a is mixed with 100 kg of alloy b . if alloy a has lead and tin in the ratio 3 : 2 and alloy b has tin and copper in the ratio 1 : 4 , then the amount of tin in the new alloy is ?
Options: a ) 24 kg , b ) 44 kg , c ) 20 kg , d ) 30 kg , e ) 52 kg
[EX A]: b

[EX Q]: Problem: if w is the set of all the integers between 39 and 99 , inclusive , that are either multiples of 3 or multiples of 2 or multiples of both , then w contains how many numbers ?
Options: a ) 26 , b ) 32 , c ) 33 , d ) 34 , e ) 40
[EX A]: e

[EX Q]: Problem: two vessels p and q contain 62.5 % and 87.5 % of alcohol respectively . if 8 litres from vessel p is mixed with 4 litres from vessel q , the ratio of alcohol and water in the resulting mixture is ?
Options: a ) 17 : 7 , b ) 18 : 8 , c ) 19 : 9 , d ) 19 : 5 , e ) 19 : 4
[EX A]:
a