instruction:
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.
question:
Question: In a certain school, the ratio of boys to girls is 5 to 13. If there are 160 more girls than boys, how many boys are there?

 Option A: 100

 Option B: 36

 Option C: 45

 Option D: 72

 Option E: 117
answer:
Option A


question:
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
answer:
Option C


question:
Question: Distance between two stations A and B is 778 km. A train covers the journey from A to B at 84 km per hour and returns back to A with a uniform speed of 56km per hour. Find the average speed of the train during the whole journey?

 Option A: 69 km /hr

 Option B: 69.2 km /hr

 Option C: 67.2 km /hr

 Option D: 67 km /hr

 Option E: 65 km /hr
answer:

Option C