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: if 80 percent of a class answered the first question on a certain test correctly, 55 percent answered the second question on the test correctly, and 20 percent answered neither of the questions correctly, what percent answered both correctly ?
Options: a. 10 %, b. ( 8 ) 20 %, c. 30 %, d. 50 %, e. 55 %

SOLUTION: e

PROBLEM: Problem: a sum of money at simple interest amounts to rs. 720 after 2 years and to rs. 1020 after a further period of 5 years. the sum is :
Options: a. 400, b. 500, c. 600, d. 700, e. 800

SOLUTION: c

PROBLEM: Problem: in order to obtain an income of rs. 1000 from 50 % stock at rs. 500, one must make an investment of
Options: a. rs. 17000, b. rs. 16050, c. rs. 15400, d. rs. 10000, e. rs. 10500

SOLUTION:
d