What is the absolute difference between the cubes of two different non-negative integers?
(1) One of the integers is 2 greater than the other integer.
(2) The square of the sum of the integers is 49 greater than the product of the integers.
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a, b, and c are three distinct positive integers. What is the product abc?
(1) a + b + c = 7
(2) ab + bc + ca = 14
If integer k > 0 and x2 − 7x + k = 0, what is the value of k?
(1) Both roots are prime number
(2) 2 is one of root of the equation
The revenue R, in dollars, that is generated by selling “x” units of a certain product is given by 9x2 + bx + c, where x > 0 and b and c are constants. Find the value of b.
(1) The revenue generated by selling 200 units of the product is 54,0000.
(2) The roots of the equation ax2 - bx + c are 20 and 9.
If x and y are positive integers and y = what is the value of y?
(1) x < 8
(2) y > 1
What is the value of the integer n?
(1) n2 + 3n = 4
(2) (n + 3)n = 1
If the elevation above water level of a breaching wale is given by the expression −t2 + 12t − 35 where t is the time, in seconds, after an observer begins watching, is the whale presently underwater?
(1) t < 8.
(2) t > 5.
If x and y are integers such that x < y < 0 what is x - y ?
(1) (x + y)(x - y) = 5
(2) xy = 6