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: 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: In a test, sixty percent students passed in Maths and 65% in History, 40% passed in both of these subjects. If 90 students failed in maths and history both, then what is the total number of students?

 Option A: 600

 Option B: 650

 Option C: 700

 Option D: 750

 Option E: None of these
answer:
Option A


question:
Question: The probability of a team winning a match given Matt is playing the match is 0.70. The probability of the team winning a match given Matt is not playing the match is 0.3. The probability of Matt playing any match is 0.7.
If it is known that the team has won the last match, what is the probability that Matt played the match?

 Option A: A

 Option B: B

 Option C: C

 Option D: D

 Option E: E
answer:

Option A