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.

[Q]: Question: If k and w are the dimensions of a rectangle that has area 21, and if k and w are integers such that k > w, what is the total number of possible values of k?

 Option A:  Two

 Option B:  Three

 Option C:  Four

 Option D:  Five

 Option E:  Six
[A]: Option A


[Q]: Question: A library has an average of 1000 visitors on Sundays and 700 on other days. The average number of visitors per day in a month of 30 days beginning with a Sunday is :

 Option A: 740

 Option B: 750

 Option C: 760

 Option D: 770

 Option E: 775
[A]: Option B


[Q]: Question: Line Q has the equation 5y – 3x = 30. If Line S is perpendicular to Q, has an integer for its y-intercept, and intersects Q in the second quadrant, then how many possible Line S’s exist? (Note: Intersections on one of the axes do not count.)

 Option A: 22

 Option B: 33

 Option C: 36

 Option D: 41

 Option E: 58
[A]:
Option A