In a farm, the ratio of pigs to chickens is 13 to 28. When 15 pigs were added to the farm, the ratio of pigs to chickens became 4 to 7. What was the original total number of pigs and chickens in the farm?
(A) 200(B) 205(C) 210(D) 215(E) 220
What is the remainder when 4^96 is divided by 6?
A. 0B. 1C. 2D. 3E. 4
For a certain integer x, the units digit of (x+2)^2 is 9. Which of the following could be the units digit of |x+1|?
A. 0B. 3C. 4D. 5E. 7
If x + 1/x= 2 , what is the value of x^9+1/x^9
A. -2B. -1C. 1D. 2E. 4
x - y = 32x = 2y + 6
The system of equations above has how many solutions?
(A) None(B) Exactly one(C) Exactly two(D) Exactly three(E) Infinitely many
How many real roots does x^4 - 2x^2 + 1 = 0 have?
How many real roots does the equation x^2y+16xy+64y=0, Have if y < 0?
A. 0B. 1C. 2D. 3E. Infinite
If |x+2| = |x|, how many values of x satisfy this equation?
A. 0B. 1C. 2D. 3E. 4
Four packages have an average weight of 10.5 pounds. What is the minimum possible weight of the heaviest package in pounds if the median is 10 pounds?
A. 10B. 10.5C. 11D. 12E. 13
What is the sum of all possible solutions of the equation |x + 4|^2 - 10|x + 4| = 24?
A. -16B. -14C. -12D. -8E. -6
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