In this task, you need to provide the correct option for a given problem from the provided options.
--------
Question: Problem: the h . c . f . of two numbers is 10 and the other two factors of their l . c . m . are 13 and 14 . the larger of the two numbers is :
Options: a ) 100 , b ) 120 , c ) 180 , d ) 140 , e ) 60

Answer: d

Question: Problem: 120 kg of an alloy a is mixed with 180 kg of alloy b . if alloy a has lead and tin in the ratio 2 : 3 and alloy b has tin and copper in the ratio 3 : 5 , then the amount of tin in the new alloy is ?
Options: a ) 100.6 kg , b ) 120.3 kg , c ) 139.5 kg , d ) 140.8 kg , e ) 114.5 kg

Answer: c

Question: Problem: 27 is a perfect cube . when x is perfect cube which is added to the prime factor of 27 , the result is not a prime number . what is the square root of x ?
Options: ['a ) 2', 'b ) 4', 'c ) 6', 'd ) 8', 'e ) 10']

Answer:
c