题库 | 考满分，百万出国党的口碑之选。

序号	题目内容
21	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?
22	If $$N=\frac{1}{3}+(\frac{1}{3})^2+(\frac{1}{3})^3$$, then N is between
23	240, 120, 60, 30, . . . In the sequence above, each term after the first is ½ of the preceding term. What is the least term of the sequence that is greater than 1 ?
24	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?
25	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?
26	If x is an even integer, which of the following must be an odd integer?
27	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 1/2 of passing through the opening immediately to the left of that peg and probability 1/2 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 ?
28	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?
29	If n denotes a number to the left of 0 on the number line such that the square of n is less than $$\frac{1}{100}$$, then the reciprocal of n must be
30	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?
31	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?
32	When N is divided by T, the quotient is S and the remainder is V. Which of the following expressions is equal to N ?
33	What is the number of different committees of 4 people that can be selected from a group of 10 people?
34	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 1/12 of the number of birthday cards sold?
35	If the operation @ is defined for all positive integers x and w by x @ w = $$(2^x)\over(2^w)$$ , then (3 @ 1) @ 3 =
36	If x = kc and y = kt, then y - x =
37	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) =
38	A certain business produced x rakes each month from November through February and shipped $$\frac x 2$$ 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?
39	The table shows the number of calls received by each of five operators during each of 4 one-hour periods. For which operator was the standard deviation of the numbers of calls received during these 4 periods the least?
40	A certain company sold 1,000 blenders at $100 each and 10 stoves at $1,000 each. If the company's total cost for the blenders and stoves was $50,000, what was the company's total gross profit on these items?

序号

题目内容

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?

If $$N=\frac{1}{3}+(\frac{1}{3})^2+(\frac{1}{3})^3$$, then N is between

240, 120, 60, 30, . . . In the sequence above, each term after the first is ½ of the preceding term. What is the least term of the sequence that is greater than 1 ?

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 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?

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