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: During a certain week, a seal ate 60% of the first 80 smelt it came across, and 30% of the remaining smelt it came across. If the seal ate 40% of the smelt it came across during the entire week, how many smelt did it eat?

 Option A: 32

 Option B: 40

 Option C: 96

 Option D: 64

 Option E: 80

SOLUTION: Option C

PROBLEM: Question: As a treat for her two children, a mother runs to the freezer in which she has three cherry ice pops, three orange ice pops, and four lemon ice pops. She chooses two at random to bring outside to the children, but realizes as she runs out the door that she cannot bring them different flavors without one being jealous of the other and getting even more upset. What is the probability that she has to return to the freezer to make sure that they each receive the same flavor?

 Option A: 2/5

 Option B: 3/7

 Option C: 7/12

 Option D: 11/15

 Option E: 17/25

SOLUTION: Option D

PROBLEM: Question: If 350!/10^n is an integer, what is the largest possible value of n?

 Option A: 88

 Option B: 82

 Option C: 86

 Option D: 87

 Option E: 80

SOLUTION:
Option C