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: what is the value of n if the sum of the consecutive odd intergers r from 1 to n equals 169 ?
Options: a. 47, b. 25, c. 37, d. 33, e. 29

SOLUTION: b

PROBLEM: 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

SOLUTION: a

PROBLEM: Problem: by selling 11 pencils for a rupee a man loses 10 %. how many for a rupee should he sell in order to gain 20 % ?
Options: a. 8.25, b. 9.25, c. 7.25, d. 10.25, e. 3.25

SOLUTION:
a