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 j and k are integers whose product is 400, which of the following statements must be true?

 Option A: n + k > 0

 Option B: n is not equal to k.

 Option C: Either n or k is a multiple of 10.

 Option D: If n is even, then k is odd.

 Option E: If j is odd, then k is even.
answer:
Option E


question:
Question: A theater box office sold an average (arithmetic mean) of 65 tickets per staff member to a particular movie. Among the daytime staff, the average number sold per member was 75, and among the evening staff, the average number sold was 60. If there are no other employees, what was the ratio of the number of daytime staff members to the number of evening staff members?

 Option A: 1:2

 Option B: 1:4

 Option C: 5:11

 Option D: 1:3

 Option E: 13:15
answer:
Option A


question:
Question: If 375*s is a perfect square then s can be which of the following numbers?

 Option A: 21

 Option B: 35

 Option C: 54

 Option D: 15

 Option E: 150
answer:

Option D