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: If x and y are negative integers, which of the following statements must be true?
I. (-x)^y is positive.
II. (-x)^(-y) is positive.
III. x^(-y) is positive.

 Option A: None

 Option B: II only

 Option C: I and II

 Option D: I and III

 Option E: I, II and III
answer:
Option C


question:
Question: The difference of two numbers is 1415. On dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder. What is the smaller number ?

 Option A: A

 Option B: B

 Option C: C

 Option D: D

 Option E: E
answer:
Option B


question:
Question: In measuring the sides of a rectangle, one side is taken 4% in excess, and the other 3% in deficit. Find the error percent in the area calculated from these measurements.

 Option A: 0.11%

 Option B: 0.7%

 Option C: 0.4%

 Option D: 0.6%

 Option E: 0.88%
answer:

Option E