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: In the rectangular coordinate system, what is the x-intercept of a line passing through (10, 3) and (−6, −5)?

 Option A: 4

 Option B: 2

 Option C: 0

 Option D: −2

 Option E: −4

Answer: Option A


Question: Question: A train 125 m long passes a man, running at 10 km/hr in the same direction in which the train is going, in 10 sec. The speed of the train is?

 Option A: 37 km/hr

 Option B: 50 km/hr

 Option C: 36 km/hr

 Option D: 26 km/hr

 Option E: 55 km/hr

Answer: Option E


Question: Question: Which of the following CANNOT be true if the sum of k consecutive integers is 0, where k ≥ 1 ?
I. The product of the k integers is positive
II. The smallest of the k integers is zero
III. The largest of the k integers is negative

 Option A: I only

 Option B: II only

 Option C: III only

 Option D: I and III

 Option E: I, II and III

Answer:
Option D