TASK DEFINITION: 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.
PROBLEM: 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

SOLUTION: b

PROBLEM: Problem: what will be the compound interest on a sum of rs. 20,000 after 3 years at the rate of 12 % p. a. ?
Options: a. rs. 8098.56, b. rs. 9720, c. rs. 10123.20, d. rs. 10483.20, e. none

SOLUTION: a

PROBLEM: Problem: four 6 faced dice are thrown together. the probability that all the three show the same number on them is ?
Options: a. 1 / 32, b. 1 / 216, c. 1 / 33, d. 1 / 38, e. 1 / 34

SOLUTION:
b