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: If x is positive and y is negative, which of the following must be true?

Option A: The product of x and y is positive

Option B: The sum of x and y is positive

Option C: The sum of x and y is negative

Option D: The difference of x and y is positive

Option E: The sum of x^2 and y^2 is positive
answer:
Option E

question:
Question: The LCM of two numbers is 2310 and HCF is 26. If one of the numbers is 210. Then what is the other number ?

Option A: 715

Option B: 825

Option C: 286

Option D: 582

Option E: 465
answer:
Option C

question:
Question: A grocer has a sale of Rs 6435, Rs. 6927, Rs. 6855, Rs. 7230 and Rs. 6562 for 5 consecutive months. How much sale must he have in the sixth month so that he gets an average sale of Rs, 6500 ?

Option A: 4991

Option B: 2367

Option C: 1976

Option D: 1627

Option E: 1981
answer:
Option A