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.

[EX Q]: 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
[EX A]: Option C

[EX Q]: 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
[EX A]: Option E

[EX Q]: Question: In a maths test, students were asked to find 5/16 of a certain number. One of the students by mistake found 5/6th of that number and his answer was 150 more than the correct answer. Find the number.

 Option A: 125

 Option B: 288

 Option C: 384

 Option D: 400

 Option E: 500
[EX A]:
Option B