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: A sequence contains y numbers of alternating positive and negative numbers, If the first number is postive and y is an even number, how many negative numbers are in it?

 Option A: (y+1

 Option B: (y-1

 Option C: y/(2+1

 Option D: y/(2-1

 Option E: y/2

Answer: Option E


Question: Question: A table is bought for Rs.400/- and sold at Rs.600/- find gain or loss percentage

 Option A: 15%loss

 Option B: 10%gain

 Option C: 30%gain

 Option D: 20%loss

 Option E: 50% gain

Answer: Option E


Question: Question: The functions f and g are defined for all the positive integers n by the following rule: f(n) is the number of perfect squares less than n and g(n) is the number of primes numbers less than n. If f(x) + g(x) = 16, then x is in the range:

 Option A: 30 < x < 36

 Option B: 30 < x < 37

 Option C: 31 < x < 37

 Option D: 31 < x < 38

 Option E: 32 < x < 38

Answer:
Option C