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.

Input: Consider Input: Question: One side of a rectangular field is 15 m and one of its diagonals is 17 m. Find the area of the field in meter square

 Option A: 100

 Option B: 110

 Option C: 120

 Option D: 130

 Option E: 140

Output: Option C


Input: Consider Input: Question: For an employee to qualify for early retirement at a certain company, the sum of the employee’s age and years of service must be at least 72, If Sue was K years old when she was hired by the company, what is the minimum age at which she could possibly qualify for early retirement.

 Option A: K+36

 Option B: 2K+36

 Option C: (72+K

 Option D: (72-K

 Option E: 2(72-K

Output: Option C


Input: Consider Input: Question: N persons stand on the circumference of a circle at distinct points. Each possible pair of persons, not standing next to each other, sings a two-minute song one pair after the other. If the total time taken for singing is 28 minutes, what is N?

 Option A: 5

 Option B: 7

 Option C: 9

 Option D: None

 Option E: Cannot be determined


Output: Option B