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

[Q]: Problem: if x and y are both odd prime numbers and x < y , how many distinct positive integer e factors does 2 xy have ? 
Options: a ) 3 , b ) 4 , c ) 6 , d ) 8 , e ) 12
[A]: d


[Q]: Problem: the weights of one liter vegetable ghee packet of two brands ‘ a ’ and ‘ b ’ are 900 gm and 850 gm respectively . if they are mixed in the ratio of 3 : 2 by volumes to form a mixture of 4 liters , what is the weight ( in kg ) of the mixture ? 
Options: a ) 3.84 , b ) 1.75 , c ) 3.52 , d ) 2.72 , e ) none of these
[A]: c


[Q]: 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
[A]:
d