TASK DEFINITION: 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.
PROBLEM: Question: There are 36 students in a certain geometry class. If one third of the students are boys and one fourth of the boys are under six feet tall, how many boys in the class are under six feet tall?

Option A: 3

Option B: 12

Option C: 18

Option D: 24

Option E: 27

SOLUTION: Option A

PROBLEM: Question: The 120 students in a group are to be seated in rows so that there is an equal number of students in each row. Each of the following could be the number of rows EXCEPT

Option A: 4

Option B: 20

Option C: 30

Option D: 40

Option E: 90

SOLUTION: Option E

PROBLEM: 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

SOLUTION:
Option E