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: In an electric circuit, two resistors with resistances x and y are connected in parallel. If R is the combined resistance of these two resistors, then the reciprocal of R is equal to the sum of the reciprocals of x and y. What is R if x is 5 Ohms and y is 7 Ohms?

 Option A: 3/5

 Option B: 1/7

 Option C: 12/35

 Option D: 31/12

 Option E: 35/12
answer:
Option E


question:
Question: What is the next number of the following sequence
10, 7, 12, 10, 14, __ ?

 Option A: 13

 Option B: 14

 Option C: 15

 Option D: 16

 Option E: 17
answer:
Option A


question:
Question: What will be 50 percent of a number whose 200 percent is 90 ?

 Option A: 144

 Option B: 72

 Option C: 22.5

 Option D: None of these

 Option E: Cannot be determined
answer:

Option C