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: Mr. Kramer, the losing candidate in a two-candidate election, received 942,568 votes, which was exactly 35 percent of all votes cast. Approximately what percent of the remaining votes would he need to have received in order to have won at least 50 percent of all the votes cast?

 Option A: 10%

 Option B: 12%

 Option C: 15%

 Option D: 17%

 Option E: 23%
answer:
Option E


question:
Question: When positive integer k is divided by 5, the remainder is 2. When k is divided by 6, the remainder is 5. If k is less than 24, what is the remainder when k is divided by 7?

 Option A: 2

 Option B: 5

 Option C: 6

 Option D: 3

 Option E: 8
answer:
Option D


question:
Question: A man in a train travelling at 24km/hr notices that a train going in the opposite direction passes him in 10 sec.If the length of this train is 220m find its speed .

 Option A: 30 km/hr

 Option B: 40 km/hr

 Option C: 55 km/hr

 Option D: 60 km/hr

 Option E: 70 km/hr
answer:

Option C