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: The average marks obtained by 120 cndidates in a certainexaminationis 35.if the average marks of passed candidate is 39 and that ofthe failed candidates is 15,what is the no. of candidates who passed the examination

 Option A: 14 years

 Option B: 14 years 3 month

 Option C: 14 years 8 month

 Option D: 15 years 8 month

 Option E: 16 years 2 month
answer:
Option C


question:
Question: Divide 71 into 2 parts such that 1 part exceeds the other by 8. What are the 2 no.'s in that part?

 Option A: 29

 Option B: 30

 Option C: 31

 Option D: 35

 Option E: 38
answer:
Option C


question:
Question: A certain company’s profit in 1996 was 15 percent greater than its profit in 1995, and its profit in 1997 was 35 percent greater than its profit in 1996. The company’s profit in 1997 was what percent greater than its profit in 1995?

 Option A: 5%

 Option B: 18%

 Option C: 33%

 Option D: 35%

 Option E: 55.25%
answer:

Option E