instruction:
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.
question:
Question: How much more would Rs.20000 fetch, after two years, if it is put at 20% p.a. compound interest payable half yearly than if is put at 20% p.a. compound interest payable yearly?

 Option A: 482

 Option B: 297

 Option C: 278

 Option D: 298

 Option E: 279
answer:
Option A


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


question:
Question: When y is divided by 276, the remainder is 42. What is the remainder when the same y is divided by 23?

 Option A: 13

 Option B: 15

 Option C: 17

 Option D: 19

 Option E: 21
answer:

Option D