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 average age of 15 students of a class is 15 years. out of these, the average age of 8 students is 14 years and that of the other 6 students is 16 years, the age of the 15 th student is
Options: a. 17, b. 12, c. 13, d. 14, e. 15

Answer: a


Question: Problem: a shop owner professes to sell his articles at certain cost price but he uses false weights with which he cheats by 12 % while buying and by 30 % while selling. what is his percentage profit ?
Options: a. 10.22 %, b. 20.22 %, c. 21.22 %, d. 60 %, e. ca n ' t be calculated

Answer: d


Question: Problem: in a class of 45 students, 12 enrolled for both english and german. 22 enrolled for german. if the students of the class enrolled for at least one of the two subjects, then how many students enrolled for only english and not german ?
Options: a. 30, b. 10, c. 18, d. 23, e. 32

Answer:
d