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: A board of length L feet is cut into two pieces such that the length of piece A is 4 feet less than three times the length of piece B. Which of the following is the length, in feet, of piece A?

 Option A: (L+4

 Option B: (L-4

 Option C: (3L-4

 Option D: (3L-1

 Option E: (3L+4
answer:
Option C


question:
Question: If a(a - 7) = 8 and b(b -7) = 8, where a ≠ b, then a + b =

 Option A: −48

 Option B: −2

 Option C: 2

 Option D: 7

 Option E: 48
answer:

Option D