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: at what rate percent per annum will a sum of money double in 6 years.
Options: a. 12.5 %, b. 13.5 %, c. 11.5 %, d. 14.5 %, e. 16.6 %
answer:
e

question:
Problem: arjun started a business with rs. 20,000 and is joined afterwards by anoop with rs. 30, 000. after how many months did anoop join if the profits at the end of the year are divided equally ?
Options: a. 3, b. 4, c. 5, d. 6, e. 7
answer:
b

question:
Problem: two cycles are standing side - by - side. one cycle, which is 2.5 feets tall, casts a shadow that is 5 feets long. the other cycle is 2 feets tall. compute, in feets, the length of the shadow that the shorter cycle casts.
Options: a. 3, b. 4, c. 6, d. 8, e. 10
answer:
b