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.
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Question: Question: During the break of a football match, the coach will make 3 substitutions. If the team consists of 14 players among which there are 2 forwards, what is the probability that none of the forwards will be substituted?

 Option A:  21/55

 Option B:  18/44

 Option C:  21/99

 Option D:  28/44

 Option E:  36/55

Answer: Option C


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 survey of n people in the town of Eros found that 50% of them preferred Brand A. Another survey of 120 people in the town of Angie found that 60% preferred Brand A. In total, 55% of all the people surveyed together preferred Brand A. What is the total number of people surveyed?

 Option A: 50

 Option B: 100

 Option C: 150

 Option D: 200

 Option E: 240

Answer:
Option E