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: 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
Option B

Question: A person incurs 5% loss by selling a watch for $1140 . At
what price should the watch be sold to earn 5% profit?

 Option A: 1160

 Option B: 1150

 Option C: 1260

 Option D: 1260

 Option E: 1360
Option C

Question: There are n arithmetic means between 3 and 45 such that the sum of these arithmetic means is 552. find the value of n.

 Option A: 11

 Option B: 15

 Option C: 17

 Option D: 21

 Option E: 23

Option E