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: the price of a book is increased from $ 300 to $ 390. what is the % of increase in its price ?
Options: a. 10 %, b. 20 %, c. 30 %, d. 35 %, e. 45 %
answer:
c


question:
Problem: a card game called “ high - low ” divides a deck of 52 playing cards into 2 types, “ high ” cards and “ low ” cards. there are an equal number of “ high ” cards and “ low ” cards in the deck and “ high ” cards are worth 2 points, while “ low ” cards are worth 1 point. if you draw cards one at a time, how many ways can you draw “ high ” and “ low ” cards to earn 7 points if you must draw exactly 5 “ low ” cards ?
Options: a. 6, b. 2, c. 3, d. 4, e. 5
answer:
a


question:
Problem: at a certain conference, 78 % of the attendees registered at least two weeks in advance and paid their conference fee in full. if 10 % of the attendees who paid their conference fee in full did not register at least two weeks in advance, what percent of conference attendees registered at least two weeks in advance ?
Options: a. 18.0 %, b. 62.0 %, c. 79.2 %, d. 86.67 %, e. 82.0 %
answer:

d