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.

Input: Consider Input: 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%

Output: Option E


Input: Consider Input: Question: In how many different number of ways a Committee of 3 person of can be selected from 5 boys and 3 girls such that at least 1 girl is included in the committee

 Option A: 41

 Option B: 42

 Option C: 46

 Option D: 48

 Option E: 50

Output: Option C


Input: Consider Input: Question: For a finite sequence of non zero numbers, the number of variations in sign is defined as the number of pairs of consecutive terms of the sequence for which the product of the two consecutive terms is negative. What is the number of variations in sign for the sequence 1, -3, 2, 5, -4, -5 ?

 Option A: 1

 Option B: 2

 Option C: 3

 Option D: 4

 Option E: 5


Output: Option B