1. 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 Hint       2. 2 < z < 4 Quantity A = π2z3 Quantity B = π3z2   Quantity A is greater   Quantity B is greater   The two quantities are equal   The relationship cannot be determined from the information given   Hint       3. 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       4. A small circle is drawn inside a large circle, whose radius is 40% more than the radius of the small circle. Quantity A = The area of the small circle Quantity B = The area between the two circles   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. 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       7. Quantity A = The perimeter of a rectangle whose area is 33. Quantity B = 28   Quantity A is greater   Quantity B is greater   The two quantities are equal   The relationship cannot be determined from the information given   Hint