If n > 6 and 3m + 5n = 0, then which of the following must be true?

A. m > 10
B. m <−10
C. m = 10
D. n < 10
E. n > 10

If x = 9 is one solution to the quadratic x^2 − yx + 27 = 0, what is the value of y?

A. −12
B. −3
C. 3
D. 6
E. 12

The integers a, b, and c are positive, a/b = 5/2, and a/c = 7/5. What is the smallest possible value of 2a + b?

A. 63
B. 70
C. 84
D. 95
E. 105

Two numbers are in the ratio of 2:3. If 4 is added to both numbers, the ratio becomes 5:7. Find the difference between the numbers.

A. 8
B. 6
C. 4
D. 2
E. 10

If A and B are positive integers and 5A -7(B + 3) = 2, what is the least possible value of A-B?

(A) 1
(B) 3
(C) 5
(D) 7
(E) 9

If a and p are positive integers and a + p < 7, how many different values of the product ap are possible?

A. 8
B. 10
C. 12
D. 14
E. 16

Abigail used to save 40% of her salary in 2013. Her salary increased by 100% in 2014 and by 50% in 2015, but her expenses remained the same throughout. What was the percentage increase in her annual savings over the two years?

A. 200%
B. 240%
C. 300%
D. 500%
E. 600%

A, B and C complete a particular work in 80 days when A and C worked on all 80 days, whereas B worked on every alternate day. A and B can together complete the work in 90 days and A and C in 120 days. In how many days would C alone take to complete the work?

A. 90
B. 150
C. 160
D. 180
E. 360

Solution A is 20% salt and Solution B is 80% salt. If you have 30 ounces of solution A and 60 ounces of solution B, in what ratio could you mix Solution A with Solution B to produce 50 ounces of a 50% salt solution?

A. 6:4
B. 6:14
C. 4:4
D. 4:6
E. 3:7

If x > y > z, which of the following can be true?

I. x / y > y /z

II. z / x > y /x

III. z /y > x/ y

A. I only
B. II only
C. I and II only
D. I and III only
E. I, II, and III