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

Problem: a number is said to be prime saturated if the product of all the different positive prime factors of t is less than the square root of t . what is the greatest two digit prime saturated integer ? 
Options: a ) 99 , b ) 98 , c ) 97 , d ) 96 , e ) 95
d

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
b

Problem: three numbers are in the ratio 3 : 4 : 5 and their l . c . m is 2400 . their h . c . f is : 
Options: a ) 40 , b ) 80 , c ) 120 , d ) 200 , e ) 220

a