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: The difference of two numbers is 1415. On dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder. What is the smaller number ?

 Option A: A

 Option B: B

 Option C: C

 Option D: D

 Option E: E

SOLUTION: Option B

PROBLEM: Question: A group of boy scouts and girls scouts is going on a rafting trip. 45% of the scouts arrived with signed permission slips. If 60% of the scouts were boy scouts and 25% of the boy scouts arrived with signed permission slips, then what percentage of the scouts were girl scouts who arrived with signed permission slips?

 Option A: 20

 Option B: 21

 Option C: 25

 Option D: 28

 Option E: 30

SOLUTION: Option E

PROBLEM: Question: A developer has land that has x feet of lake frontage. The land is to be subdivided into lots, each of which is to have either 80 feet or 120 feet of lake frontage. If 1/9 of the lots are to have 80 feet of frontage each and the remaining 40 lots are to have 120 feet of frontage each, what is the value of x ?

 Option A: 400

 Option B: 3,200

 Option C: 3,700

 Option D: 4,400

 Option E: 5,200

SOLUTION:
Option E