You are given a math word problem and you are supposed to make use of mathematical concepts like probability, combinatorics, linear equations, sequences/series, or simple operators like addition, subtraction, division, or multiplication to answer the given question. Choose the best option from the 5 given options and report that option.

Question: When n is divided by 19, the remainder is 7. When n is divided by 11, the quotient is equal to Z, and the remainder is equal to 7. Z must be divisible by which of the following numbers?

 Option A: 16

 Option B: 18

 Option C: 20

 Option D: 19

 Option E: 22
Option D

Question: One side of a rectangular field is 15 m and one of its diagonals is 17 m. Find the area of the field in meter square

 Option A: 100

 Option B: 110

 Option C: 120

 Option D: 130

 Option E: 140
Option C

Question: There are 35 students in a hostel. If the no. of students increases by 7, the expenses of the mess increase by Rs.42/day while the average expenditure per head diminishes by Rs1. Find the original expenditure of the mess?

 Option A: Rs. 30

 Option B: Rs. 34

 Option C: Rs. 42

 Option D: Rs. 48

 Option E: Rs. 50

Option C