You are given a math word problem and you are supposed to make use of mathematical concepts like probability, combinatorics, linear equations, sequences/series, or simple operators like addition, subtraction, division, or multiplication to answer the given question. Choose the best option from the 5 given options and report that option.

Q: Question: A grocer purchased a quantity of bananas at 3 pounds for $0.50 and sold the entire quantity at 4 pounds for $1.00. How many pounds did the grocer purchase if the profit from selling the bananas was $6.00?

 Option A:  72

 Option B:  60

 Option C:  90

 Option D:  120

 Option E:  240

A: Option A
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Q: Question: If k is an integer and 2 < k < 7, for how many different values of k is there a triangle with sides of lengths 2, 6, and k?

 Option A: one

 Option B: two

 Option C: three

 Option D: four

 Option E: five

A: Option B
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Q: Question: If 2x = 3y = 10, then 3xy = ?

 Option A:  100

 Option B:  200

 Option C:  120

 Option D:  50

 Option E:  20

A:
Option D
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