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: The bankerâ€™s discount on Rs. 1600 at 10% per annum is the same as true discount on Rs. 1680 for the same time and at the same rate. The time is :

 Option A: 2 months

 Option B: 4 months

 Option C: 6 months

 Option D: 7 months

 Option E: None
answer:
Option C


question:
Question: If |x^2 − 20| = x, which of the following could be the value of x?

 Option A: -5

 Option B: -4

 Option C: 1

 Option D: 4

 Option E: 10
answer:
Option D


question:
Question: In the xy-plane the point (-2 -3) is the centre of a circle, the point (-2, 2) lies inside the circle and the point (5, -3) lies outside the circle. If the radius r of the circle r is an integer then r=

 Option A: 6

 Option B: 5

 Option C: 4

 Option D: 3

 Option E: 2
answer:

Option A