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

Problem: a rhombus has area 432 sq m, one diagonal is 36 cm. find other diagonal ?
Options: ['a. 2400 m', 'b. 2500 m', 'c. 2600 m', 'd. 2700 m', 'e. 2900 m']
a

Problem: when positive integer n is divided by positive integer p, the quotient is 18, with a remainder of 7. when n is divided by ( p + 3 ), the quotient is 15 and the remainder is 1. what is the value of n ?
Options: a. 151, b. 331, c. 511, d. 691, e. 205
e