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: The probability that a visitor at the mall buys a pack of candy is 30%. If three visitors come to the mall today, what is the probability that exactly two will buy a pack of candy?

 Option A: 343

 Option B: 147

 Option C: 189

 Option D: 063

 Option E: 027
answer:
Option C


question:
Question: In the class of 100 students, 50 speak Hindi and 70 speak English. What is the lowest possible number of students who
speak both the languages?

 Option A: A

 Option B: B

 Option C: C

 Option D: D

 Option E: E
answer:
Option C


question:
Question: 2y - 3x = 2xy and x ≠ 0. If x and y are integers, which of the following could equal y?

 Option A: 2

 Option B: 1

 Option C: 0

 Option D: 4

 Option E: - 2
answer:

Option E