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: Two alloys A and B are composed of two basic elements. The ratios of the compositions of the two basic elements in the two alloys are 5 : 3 and 1 : 2, respectively. A new alloy X is formed by mixing the two alloys A and B in the ratio 4 : 3. What is the ratio of the composition of the two basic elements in alloy X ?

 Option A: 1 : 1

 Option B: 2 : 3

 Option C: 5 : 2

 Option D: 4 : 3

 Option E: 7 : 9

Answer: Option A


Question: Question: In a poll of 44,000 dentists, only 30 percent responded; of these, 20 percent claimed to prefer Toothpaste A. How many of the dentists who responded did not claim a preference for Toothpaste A?

 Option A: 2,200

 Option B: 2,640

 Option C: 6,160

 Option D: 8,800

 Option E: 10,560

Answer: Option E


Question: Question: X can give Y 100 meters start and Z 200 meters start in X kilometer race. How much start can Y give Z in X kilometer race?

 Option A: 112.2m

 Option B: 216.3m

 Option C: 111.12m

 Option D: 213.27m

 Option E: 222.40m

Answer:
Option C