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: 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


[Q]: Question: A and B invests Rs.3000 and Rs.4000 respectively in a business. If A doubles his capital after 6 months. In what ratio should A and B divide that year's profit?

 Option A: 9:6

 Option B: 9:8

 Option C: 9:1

 Option D: 9:9

 Option E: 9:5
[A]: Option B


[Q]: Question: A man buy a book in Rs50 & sale it Rs80. What is the rate of profit ???

 Option A: 10%

 Option B: 60%

 Option C: 30%

 Option D: 25%

 Option E: 28%
[A]:
Option B