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: An amount of Rs. 75000 is invested in two types of shares. The first yields an interest of 9% p.a and the second, 11% p.a. If the total interest at the end of one year is 9 3/4 %, then the amount invested in each share was?

 Option A: s. 46875; Rs. 28125

 Option B: s. 62500; Rs. 37500

 Option C: s. 72500; Rs. 27500

 Option D: s. 82500; Rs. 17500

 Option E: s. 72500; Rs. 17500

Answer: Option A


Question: Question: The captain of a cricket team of 11 members is 26 years old and the wicket keeper is 11 years older. If the ages of these two are excluded, the average age of the remaining players is one year less than the average age of the whole team. What is the average age of the team?

 Option A: 23 years

 Option B: 24 years

 Option C: 25 years

 Option D: 26 years

 Option E: 27 years

Answer: Option E


Question: Question: Angela, Bernie, and Colleen can complete a job, all working together, in 4 hours. Angela and Bernie, working together at their respective rates, can complete the same job in 6 hours. How long would it take Colleen, working alone, to complete the entire job?

 Option A: 8 hours

 Option B: 10 hours

 Option C: 12 hours

 Option D: 16 hours

 Option E: 24 hours

Answer:
Option E