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 point A coordinates are (-7, -3) point B coordinates are (8 ,4 ) if C is along the line A-B so that AC = 1/2 CB. What are the coordinates of point C.

 Option A: (-2, - 2/3

 Option B: (2, -2/3

 Option C: (2/3, -2

 Option D: (0, 2

 Option E: (2, 2/3
answer:
Option A


question:
Question: If the line L passes through the point (3,n) and (n,3), where n is not equal to 3, which of the following must be true?
1. Line L must passes through the first quadrant
2. Line L does pass the origin
3..The slope of L is negative

 Option A: I only

 Option B: II only

 Option C: III only

 Option D: I and II

 Option E: II and III
answer:
Option C


question:
Question: how many positive integers less than 9999 are such that the product of their digits is 210.

 Option A: 24

 Option B: 58

 Option C: 26

 Option D: 34

 Option E: 25
answer:

Option A