In this task, you need to provide the correct option for a given problem from the provided options.
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Question: Problem: what is the greatest positive integer n such that 3 ^ n is a factor of 36 ^ 450 ? 
Options: a ) 100 , b ) 200 , c ) 300 , d ) 600 , e ) 900

Answer: e


Question: Problem: a certain fruit stand sold apples for $ 0.70 each and bananas for $ 0.60 each . if a customer purchased both apples and bananas from the stand for a total of $ 6.30 , what total number of apples and bananas did the customer purchase ? 
Options: a ) 8 , b ) 9 , c ) 10 , d ) 11 , e ) 12

Answer: c


Question: Problem: 135 kg of an alloy a is mixed with 145 kg of alloy b . if alloy a has lead and tin in the ratio 3 : 5 and alloy b has tin and copper in the ratio 2 : 3 , then the amount of tin in the new alloy is ? 
Options: a ) 100.6 kg , b ) 142 kg , c ) 135 kg , d ) 110.8 kg , e ) 114 kg

Answer:
b