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: 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
Option A

Question: Twelve participants are participating in a competition. In how many ways can the first three prizes be won?

 Option A: 1320

 Option B: 680

 Option C: 820

 Option D: 720

 Option E: 620
Option A

Question: Which resistive component is designed to be temperature sensitive?

 Option A: 27

 Option B: 66

 Option C: 25

 Option D: 18

 Option E: 11

Option A