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: A boy and a girl appear for an interview against 2 vacant posts in an office. The probability of the boy's selection is 1/5 and that of the girl's selection is 1/3. What is the probability that only 1 of them is selected?

 Option A: 1/3

 Option B: 2/5

 Option C: 3/5

 Option D: 4/7

 Option E: 5/9
answer:
Option B


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: The annual birth and death rate in a country per 1000 are 39.4 and 19.4 respectively . the number of years R in which the population would be doubled assuming there is no emigration or immigration is

 Option A: 20

 Option B: R=25

 Option C: R=30

 Option D: R=35

 Option E: 40
answer:

Option D