Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid.
--------
Question: Problem: the average weight of 6 person ' s increases by 4.5 kg when a new person comes in place of one of them weighing 75 kg. what might be the weight of the new person ?
Options: a. 160 kg, b. 175 kg, c. 180 kg, d. 102 kg, e. 190 kg

Answer: d

Question: Problem: for any positive integer n, the sum of the first n positive integers equals n ( n + 1 ) / 2. what is the sum of all the integers between 100 and 200 ?
Options: a. 4545, b. 5050, c. 6525, d. 4352, e. 4652

Answer: b

Question: Problem: n denotes the number obtained when n is rounded to the nearest tenth. for example 4.31 = 4.3 0.089 - 1.135 =
Options: a. 1.05, b. 1.04, c. - 1.05, d. - 1.0, e. - 0.1

Answer:
d