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.

[Q]: Question: The cost of Type 1 material is Rs. 15 per kg and Type 2 material is Rs.20 per kg. If both Type 1 and Type 2 are mixed in the ratio of 2 : 3, then what is the price per kg of the mixed variety of material?

 Option A: Rs. 19

 Option B: Rs. 16

 Option C: Rs. 18

 Option D: Rs. 17

 Option E: Rs. 21
[A]: Option C


[Q]: Question: Two trains, each 100 m long, moving in opposite directions, cross other in 6 sec. If one is moving twice as fast the other, then the speed of the faster train is?

 Option A: 80 km/hr

 Option B: 66 km/hr

 Option C: 60 km/hr

 Option D: 67 km/hr

 Option E: 22 km/hr
[A]: Option A


[Q]: Question: Two cyclists are running on a circular track of 500m.They start from the same point A at the same time.If they meet for the first time at a point 300 m from A, which of the following could be the possible ratio of their speeds?

 Option A: 1:3

 Option B: 2:3

 Option C: 3:2

 Option D: 5:7

 Option E: 7:11
[A]:
Option C