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: If the average (arithmetic mean) of x, x + 2, and x + 4 is 33, what is the value of x?

 Option A: 30

 Option B: 31

 Option C: 32

 Option D: 32

 Option E: 37

Answer: Option B


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: How can a cake(circular) be cut into 8 pieces by making just 3 cuts?

 Option A: 21

 Option B: 787

 Option C: 37

 Option D: 26

 Option E: 01

Answer:
Option A