单选题
A. if Quantity A is greater;
B. if Quantity B is greater;
C. if the two quantities are equal;
D. if it is impossible to determine which quantity is greater.
Note: The given information, if any, is always centered above the two quantities. In any question, if a symbol or letter appears more than once, it represents the same thing each time.
单选题
【正确答案】
D
【答案解析】Use TACTIC 4, Chapter 9. Could m and n be equal? Sure, if each is 5. Eliminate Choices A and B. Must they be equal? No, not if m = 1 and n = 25. Eliminate Choice C, as well. Neither quantity is always greater, and the two quantities are not always equal (D).
单选题
【正确答案】
D
【答案解析】[*], which is clearly more than 65%, it appears that Quantity B is greater. Be careful! That would be true if a were positive, but no restrictions are placed on a. If a = 0, the columns are equal; if a is negative, Quantity A is greater. Neither quantity is always greater, and the two quantities are not always equal (D).
**Use TACTIC 1, Chapter 9. Just let a = 0, and then let a = 1.
单选题
【正确答案】
D
【答案解析】Use TACTIC 4, Chapter 9. Could the quantities be equal? Could c = 5? Sure, if this is a 3-4-5 right triangle. Must c = 5? No; if the triangle is not a right triangle, c could be less than or more than 5.
[*]
Neither quantity is always greater, and the quantities are not always equal (D). (Note: Since the figure may not be drawn to scale, do not assume that the triangle has a right angle.)
单选题
【正确答案】
B
【答案解析】You don't have to solve for a and b. If a - b ＞ a + b, then b is negative and Quantity B is greater.
**You could solve. Adding the two equations yields 2a = 49 [*] a = 24.5[*] b=-.5.
单选题
【正确答案】
A
【答案解析】Since in the given figure OA and OB are radii, each is equal to 5. If x were 90, AB would be [*], but we are told that 90＜ x ＜ 180, so [*].
[*]
单选题
【正确答案】
A
【答案解析】Quantity[*]
单选题
ABCD and EFGHare both squares, whose sides are 12. All the circles are tangent to one another and to the sides of the squares.
【正确答案】
C
【答案解析】In Figure 1, since the radius of each circle is 3, the area of each circle is 9π, and the total area of the four circles is 36π. In Figure 2, the radius of each circle is 2, and so the area of each circle is 4π, and the total area of the nine circles is 36π. Since the area of both squares is 122 = 144, and the area of both white regions is 36π, the areas of both shaded regions is 144 - 36π. The quantities are equal (C).
单选题
A school group charters three identical buses and occupies 
of the seats. After 
of the passengers leave, the remaining passengers use only two of the buses.
of the seats. After of the passengers leave, the remaining passengers use only two of the buses.
【正确答案】
C
【答案解析】If there are x seats on each bus, then the group is using [*]
[*]