1. 0 < a < 1 Quantity A = a3 Quantity B = a2   Quantity A is greater   Quantity B is greater   The two quantities are equal   The relationship cannot be determined from the information given   Hint Hint       2. In the correctly worked out addition problem given below, each letter represents a different digit. BC + BC = CAA Quantity A = A Quantity B = 6   Quantity A is greater   Quantity B is greater   The two quantities are equal   The relationship cannot be determined from the information given   Hint       3. p = 3z/4, q = 4r/5, and r = 5z/6 Quantity A = 12p Quantity B = 12q   Quantity A is greater   Quantity B is greater   The two quantities are equal   The relationship cannot be determined from the information given   Hint       4. For any positive integer n, n! is the product of all positive integers less than or equal to n. Quantity A = 20! / 17! Quantity B = 80! / 78!   Quantity A is greater   Quantity B is greater   The two quantities are equal   The relationship cannot be determined from the information given   Hint       5. Quantity A = (55 + 59)(61 - 79) Quantity B = (55 - 59)(61 - 79)   Quantity A is greater   Quantity B is greater   The two quantities are equal   The relationship cannot be determined from the information given   Hint       6. Quantity A = The average of the measures of the angles of a scalene triangle Quantity B = The average of the measures of the angles of an isosceles triangle   Quantity A is greater   Quantity B is greater   The two quantities are equal   The relationship cannot be determined from the information given   Hint       7. m and n are prime numbers. m < n and m + n = 16 Quantity A = n Quantity B = 12   Quantity A is greater   Quantity B is greater   The two quantities are equal   The relationship cannot be determined from the information given   Hint