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: Square A is inscribed in circle B. If the perimeter of A is 32, what is the circumference of B?

 Option A: 6√ 2π

 Option B: 4√ 2π

 Option C: 8√ 2π

 Option D: 7√ 2π

 Option E: 5

Answer: Option C


Question: Question: Two positive integers differ by 4, and sum of their reciprocals is 5 Then one of the numbers is

 Option A: a

 Option B: b

 Option C: c

 Option D: d

 Option E: 4

Answer:
Option E