instruction:
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: on the independence day, bananas were be equally distributed among the children in a school so that each child would get two bananas. on the particular day 360 children were absent and as a result each child got two extra bananas. find the actual number of children in the school ?
Options: a. 237, b. 287, c. 197, d. 287, e. 720
answer:
e

question:
Problem: two trains travel in opposite directions at 36 kmph and 45 kmph and a man sitting in slower train passes the faster train in 8 seconds. the length of the faster train is
Options: a. 80 m, b. 100 m, c. 120 m, d. 180 m, e. 160 m
answer:
b

question:
Problem: a quadratic function f ( x ) attains a maximum of 3 at x = 1. the value of the function at x = 0 is 1. what is the value of f ( x ) at x = 10 ?
Options: a. - 119, b. - 159, c. - 110, d. - 180, e. - 105
answer:
b