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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

How many positive three-digit integers are not divisible by 3 ?

A. 599
B. 600
C. 601
D. 602
E. 603

The sum of seven consecutive integers is equal to 7. What is the average of the greatest and least terms in the sequence?

(A) 7
(B) 4
(C) 2
(D) 1
(E) -2

The average weight of 36 students in a class is 62 kgs. If the weight of the teacher is also included the average becomes 62.5 kgs. Find the weight of the teacher.

A. 80
B. 80.25
C. 80.5
D. 80.75
E. 81

If b is a positive integer and b^4 is divisible by 81, which of the following could be the remainder when b is divided by 9?

A. 1

B. 2

C. 4

D. 6

E. 8

Solution X is 15% salt and solution Y is 50% salt. If the two solutions are combined to form 7 gallons of a 30% solution, how many gallons of solution X must be used?

(A) 2

(B) 2.5

(C) 3

(D) 4

(E) 4.2

If x^2 + 12x + 20 < 0, how many integer values can x be?

(A) 6
(B) 7
(C) 8
(D) 9
(E) 10

What is the range of x such that x^7−x^5<0

A. x <−1

B. −1< x <1

C. x <−1 ,0 < x < 1

D. −1 < x < 0,1 < x

E. 0 < x < 1