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.
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Question: Question: A rectangular room has the rectangular shaped rug shown as above figure such that the rug’s area is 160 square feet and its length is 6 feet longer than its width. If the uniform width between the rug and room is 6 feet, what is the area of the region uncovered by the rug (shaded region), in square feet?

 Option A: 32

 Option B: 456

 Option C: 40

 Option D: 46

 Option E: 104

Answer: Option B


Question: Question: A and B started a partnership business investing Rs. 20,000 and Rs. 15,000 respectively. C joined them with Rs. 20,000 After six months. Calculate B's share in total profit of Rs. 25,000 earned at the end of 2 years from the starting of the business?

 Option A: 7500

 Option B: 8500

 Option C: 9000

 Option D: 8000

 Option E: None of these

Answer: Option A


Question: Question: What is the length of the longest pole which can be kept in a room 12 m long, 5 m broad and 3 m high?

 Option A: 7

 Option B: 9

 Option C: 11

 Option D: 13.34

 Option E: None

Answer:
Option D