If a+b=2c, a+c=b, and b+c=5a, what is the ratio of a: b: c?
A. 1:2:3B. 1:3:2C. 3:2:1D. 1:4:2E. 1:2:5
If (x − y)(x + y) = 143, and (x − y) and (x + y) are prime, what is the value of the sum of all possible values of y?
A. -1B. 0C. 1D. 12E. 24
If k is the average (arithmetic mean) of the first 8 positive multiples of 6 greater than 6, and if p is the median of the first 8 positive multiples of 6 greater than 6, what is the value of k/p ?
A. 10/11B. 1C. 11/10D. 12/11E. 0
If x is a number such that x^2−3x+2=0 and x^2−x−2=0, what is the value of x ?
(A) -2(B) -1(C) 0(D) 1(E) 2
If x^2 /4 is an integer greater than 50, and x is a positive integer, then what is the smallest possible value for x^2 ?
A. 121B. 144C. 169D. 225E. 256
If x, y, and z are positive integers and 3x = 4y = 7z, then the least possible value of x + y + z is
A. 33B. 40C. 49D. 61E. 84
An arithmetic sequence of numbers begins p, 2p + 2, 4p + 3... What is the 13th member of this sequence?
A. 37B. 40C. 26p + 13D. 53E. 129p + 13
If x is a positive integer and 4x–3=y, which of the following CANNOT be a value of y ?
A. 1B. 7C. 13D. 61E. 253
The ratio of the present ages of a father and a son is 8 : 1. Eight years from now, the ratio would be 10 : 3. What is the present age of the father?
A. 24B. 32C. 40D. 48E. 56
For how many integer values of x, is |3x−3|+|2x+8|<15 ?
A. 2B. 3C. 4D. 5E. 6
