GMAT考试PREP-MATH-PS2完整详解版-V1.0(2)

If Sally drives at a constant speed of 50 miles per hour, how many minutes will be required for her to drive 10 miles?

(A) 9 (B) 10 (C) 11 (D) 12 (E) 13

------------------------------------------------------------------------------------------------------------------------------------ 【答案】D

【思路】距離/速度=時間

10/50=0.2 (hr) = 12(mins)

------------------------------------------------------------------------------------------------------------------------------------ 15. 2647-!-item-!-187;#058&002944

If a = 1 and [?], which of the following is NOT a possible value of b ?

(A) -2 (B) -1 (C) 0 (D) 1 (E) 2

16. 2698-!-item-!-187;#058&002953 [?]

All points (x, y) that lie below the line l, shown above, satisfy which of the following inequalities?

(A) y < 2x + 3 (B) y < -2x + 3 (C) y < -x + 3 (D) (E)

17. 2747-!-item-!-187;#058&002959 [?]

On the number line above, what is the length of segment AB ?

(A) 2.2 (B) 0.38 (C) 0.22 (D) 0.038 (E) 0.022

18. 2793-!-item-!-187;#058&002984

After a fisherman sold [?] of the fish he had caught and gave away [?] of the remaining fish, he had 4 fish left. What was the total number of fish he had caught?

(A) 8 (B) 16 (C) 20 (D) 32 (E) 40

19. 2896-!-item-!-187;#058&003100 [?]

For each country listed in the left column of the table, the number in the right column gives the number of units of Country X currency that is equivalent to 1 unit of the country's currency. Which of the following is

equivalent to the greatest number of units of Country X currency?

(A) 4 units of Country A currency (B) 25 units of Country B currency (C) 98 units of Country C currency (D) 3 units of Country D currency (E) 7 units of Country E currency

20. 2942-!-item-!-187;#058&003104

For any positive integer n, the length of n is defined as the number of prime factors whose product is n. For example, the length of 75 is 3, since 75 = 3 ?? 5 ?? 5. How many two-digit positive integers have length 6 ?

(A) None (B) One (C) Two (D) Three (E) Four

21. 2988-!-item-!-187;#058&003110

A company wants to buy computers and printers for a new branch office, and the number of computers can be at most 3 times the number of printers. Computers cost $1,500 each, and printers cost $300 each. What is the greatest number of computers that the company can buy if it has a total of $9,100 to spend on computers and printers?

(A) 2 (B) 3 (C) 4 (D) 5 (E) 6

------------------------------------------------------------------------------------------------------------------------------------ 【答案】D 【思路】 C=3P

1500C + 300P ?9100 ?1600C ? 9100

?C?5.多 所以最多可買5台computers

------------------------------------------------------------------------------------------------------------------------------------ 22. 3254-!-item-!-187;#058&003229 If [?], then N is between

(A) 0 and (B) and (C) and (D) and (E) and 2

23. 3470-!-item-!-187;#058&003305 240, 120, 60, 30, . . .

In the sequence above, each term after the first is ? of the preceding term. What is the least term of the sequence that is greater than 1 ?

(A) (B) (C) (D) (E)

24. 3573-!-item-!-187;#058&003330

A box contains 25 red blocks, 100 blue blocks, and 175 yellow blocks. What is the probability that a block picked at random from the box will be red?

(A) (B) (C) (D) (E)

25. 3619-!-item-!-187;#058&003382

A fast-food company plans to build 4 new restaurants. If there are 12 sites that satisfy the company's criteria for location of new restaurants, in how many different ways can the company select the 4 sites needed for the new restaurants if the order of selection does not matter?

(A) 48 (B) 288 (C) 495 (D) 990 (E) 11,880

------------------------------------------------------------------------------------------------------------------------------------ 【答案】C 【思路】C412?495

------------------------------------------------------------------------------------------------------------------------------------ 26. 3669-!-item-!-187;#058&003387

If x is an even integer, which of the following must be an odd integer?

(A) (B) (C) 3x^2 (D) (E)

27. 3721-!-item-!-187;#058&003433 [?]

The figure shown represents a board with four rows of pegs, and at the bottom of the board are four cells numbered 1 to 4. Whenever the ball shown passes through the opening between two adjacent pegs in the same row, it will hit the peg directly beneath the opening. The ball then has probability of passing through the opening immediately to the left of that peg and probability of passing through the opening immediately to the right. What is the probability that when the ball passes through the first two pegs at the top it will end up in cell 2 ?

(A) (B) (C) (D) (E)

28. 3770-!-item-!-187;#058&003486

What is the greatest possible area of a triangular region with one vertex at the center of a circle of radius 1 and the other two vertices on the circle?

(A) (B) (C) (D) 1 (E)

29. 3873-!-item-!-187;#058&003594

If n denotes a number to the left of 0 on the number line such that the square of n is less than 1/100, then the reciprocal of n must be

(A) less than -10

(B) between -1 and (C) between and 0 (D) between 0 and (E) greater than 10

30. 4244-!-item-!-187;#058&003828

An investor purchased 20 shares of a certain stock at a price of $45.75 per share. Later this investor

purchased 30 more shares at a price of $46.25 per share. What was the average (arithmetic mean) price per share that this investor paid for the 50 shares?

(A) $45.80 (B) $45.95 (C) $46.00 (D) $46.05 (E) $46.20

------------------------------------------------------------------------------------------------------------------------------------ 【答案】D 【思路】

(45.75?20)?(46.25?30)?46.05

50------------------------------------------------------------------------------------------------------------------------------------ 31. 4295-!-item-!-187;#058&003848

A certain basket contains 10 apples, 7 of which are red and 3 of which are green. If 3 different apples are to be selected at random from the basket, what is the probability that 2 of the apples selected will be red and 1 will be green?

(A) (B) (C) (D) (E)

32. 4504-!-item-!-187;#058&003922 [?]

When N is divided by T, the quotient is S and the remainder is V. Which of the following expressions is equal to N ?

(A) ST (B) S + V (C) ST + V (D) T(S - V) (E)

33. 4550-!-item-!-187;#058&003924

What is the number of different committees of 4 people that can be selected from a group of 10 people?

(A) 20 (B) 40 (C) 80 (D) 120 (E) 210

------------------------------------------------------------------------------------------------------------------------------------ 【答案】E

【思路】C410?10?9?8?7?210

4?3?2?1------------------------------------------------------------------------------------------------------------------------------------

34. 4707-!-item-!-187;#058&003966 [?]

The table shows the numbers of greeting cards for various occasions sold at a certain store last year.

According to the table, for which of the following occasions was the number of cards sold closest to [?] of the number of birthday cards sold?

(A) Valentine's Day (B) Secretary's Day (C) Mother's Day (D) Father's Day (E)

35. 4808-!-item-!-187;#058&003979

If the operation @ is defined for all positive integers x and w by x @ w = [?] , then (3 @ 1) @ 3 =

(A) 2 (B) 4 (C) 8 (D) 16 (E) 32

36. 5018-!-item-!-187;#058&004104 If x = kc and y = kt, then y - x =

(A) k(t - c) (B) k(c - t) (C) c(k - t) (D) t(k - c) (E) k(1 - t)

--------------------------------------------------------------------------------------------------------------------------- 【答案】A

【思路】kt-kc=k(t-c)

-------------------------------------------------------------------------------------------------------------------------------

37. 5174-!-item-!-187;#058&004144

The function f is defined for all positive integers n by the following rule: f(n) is the number of positive

integers each of which is less than n and has no positive factor in common with n other than 1. If p is any prime number then f(p) =

(A) p - 1 (B) p - 2 (C) (D) (E) 2

38. 5275-!-item-!-187;#058&004179

A certain business produced x rakes each month from November through February and shipped 0.5x rakes at the beginning of each month from March through October. The business paid no storage costs for the rakes from November through February, but it paid storage costs of $0.10 per rake each month from March through October for the rakes that had not been shipped. In terms of x, what was the total storage cost, in dollars, that the business paid for the rakes for the 12 months from November through October?

(A) 0.40x

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