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 cistern can be filled by a tap in 3 hours while it can be emptied by another tap in 9 hours. If both the taps are opened simultaneously, then after how much time will the cistern get filled?

 Option A: 2.9 hrs

 Option B: 4.5 hrs

 Option C: 2.9 hrs

 Option D: 7.2 hrs

 Option E: 8.6 hrs

Answer: Option B


Question: Question: A shopkeeper sells his goods at cost price but uses a faulty meter that weighs 950 grams. Find the profit percent.

 Option A: 100/17%

 Option B: 100/23%

 Option C: 100/19%

 Option D: 100/13%

 Option E: None of these

Answer:
Option C