2018年GMAT改版考试题.pdf

GMAT 数学 GMAT 最新考试题 2018/6/22 最爱 IVYEXAM 更多 GMAT 最新考试资料 QQ:3265616327 Question: 1 题目 If x and y are integers, is x2 1 y2 + 1? (1) x y (2) y 0 选项 A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient. B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient. C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient. D. EACH statement ALONE is sufficient. E. Statements (1) and (2) TOGETHER are NOT sufficient. Answer: C 注释：条件(1)(2)同时成立时，xy0，又因为 x 和 y 都是整数，所以为 x2 y2 3，不等式 成立。单独条件无法论证，如果 x=2, y=-5，等式不成立， （1）不充分；当 x=2, y=2，等式不 成立， （2）不充分，所以选择 C。 Question: 2 题目 Is s + t 0 ? (1) s t 0 (2) s2 t2 0 选项 A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient. B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient. C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient. D. EACH statement ALONE is sufficient. E. Statements (1) and (2) TOGETHER are NOT sufficient. Answer: C 注释： 因为(2) s2 t2 =(s+t)(s-t)0， 则 s+t0， s-t0 或 s+t0； 所以条件(1)(2)同时成立时，不等式才成立，单独条件无法论证，选择 C。 Question: 3 题目 Is r t? (1) 5r 5t = 2 更多 GMAT 最新考试资料 QQ:3265616327 (2) 5r + 5t = 10 选项 A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient. B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient. C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient. D. EACH statement ALONE is sufficient. E. Statements (1) and (2) TOGETHER are NOT sufficient. Answer: A 注释：(1) 5r 5t = 5(r-t)=2，所以 r-t=2/5，所以 rt，条件充分；(2) 5r + 5t =5(r+t)=10，所以 r+t=2，无法推出 rt。所以选择 A。 Question: 4 题目 Which of the positive numbers x or y is greater? (1) y = 2x (2) 2x + 5y = 12 选项 A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient. B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient. C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient. D. EACH statement ALONE is sufficient. E. Statements (1) and (2) TOGETHER are NOT sufficient. Answer: A 注释： 因为 x 和 y 都是正数， 所以(1) y = 2x 条件充分， 可推出 yx； (2)2x + 5y = 12， x=1, y=2， 或 x=4, y=4/5 等都是方程的解，无法确定 x 和 y 大小，条件不充分，所以选择 A。 Question: 5 题目 Is x5 x4 x3 x2? (1) x 1 (2) x4 x3 选项 A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient. B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient. C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient. 更多 GMAT 最新考试资料 QQ:3265616327 D. EACH statement ALONE is sufficient. E. Statements (1) and (2) TOGETHER are NOT sufficient. Answer: A 注释：由 x5 x4 x3 x2得 x4(x-1) x2 (x-1)，当(1) x 1 时，x4x2，条件充分，等式成立。(2) x4 x3只能推出 x0，条件不充分。所以选择 A。 Question: 6 题目 In the rectangular coordinate system, does point P lie above line ? (1) Line does not intersect quadrant II. (2) The x-coordinate of P is 1. 选项 A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient. B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient. C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient. D. EACH statement ALONE is sufficient. E. Statements (1) and (2) TOGETHER are NOT sufficient. Answer: E 注释：P 点在直线 上方。(1)直线 不经过第二象限，只有 P 点在第二象限才能保证 P 点在 直线上方，条件不充分。(2)P 点的横坐标是-1，则 P 点可能在第二、三象限，不能保证在直 线上方。如果两条件同时成立，但若 P 点在第三象限，也可能在直线下方。综上，选择 E。 Question: 7 题目 If line k is in the xy-plane, is the x-intercept of line k less than the y-intercept ? (1) The x-intercept of line k is negative. (2) The slope of line k is negative. 选项 A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient. B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient. C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient. D. EACH statement ALONE is sufficient. E. Statements (1) and (2) TOGETHER are NOT sufficient. Answer: E 更多 GMAT 最新考试资料 QQ:3265616327 注释：直线 k 的 x 轴的交点小于 y 轴的交点？(1)直线 k 与 x 轴的交点为负，因为与 y 轴的交 点也可能为负，无法判断大小；(2)直线 k 的斜率为负，如果直线经过二三四象限，则可能 与 x 轴 y 轴的交点都为负，无法判断大小。所以选择 E。 Question: 8 题目 If is a line in the rectangular coordinate system, does intersect the negative y-axis? (1) contains a point (r,s), where r 0 and s 0. (2) The slope of is positive. 选项 A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient. B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient. C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient. D. EACH statement ALONE is sufficient. E. Statements (1) and (2) TOGETHER are NOT sufficient. Answer: C 注释：直线 与 y 轴相交于负轴？(1)直线包含第四象限的点，如果直线的斜率为负，且经 过第一二四象限，则直线 与 y 轴相交于正轴；(2)直线斜率为负，同上，直线 可能与 y 轴相交于正轴。条件(1)(2)同时成立，则直线经过第一三四象限，与 Y 轴肯定交与负轴，条 件充分，选择 C。 Question: 9 题目 In the xy-coordinate plane, what are the x-coordinates of the four vertices of square JKMN ? (1) J and M are on the x-axis and K and N are on the y-axis. (2) The center of the square is at the origin. 选项 A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient. B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient. C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient. D. EACH statement ALONE is sufficient. E. Statements (1) and (2) TOGETHER are NOT sufficient. Answer: E 注释：正方形 JKMN 四个顶点的横坐标。(1)点 J 和 M 在 x 轴上，k 和 N 在 Y 轴上，只能确定 点 K 和 N 的横坐标为 0； (2)正方形以原点为中心， 同理， 只能确定其中两个顶点横坐标为 0。 所以选择 E。 更多 GMAT 最新考试资料 QQ:3265616327 Question: 10 题目 In the xy-plane, does circle C intersect the x-axis? (1) The distance between the center of circle C and the x-axis is greater than the distance between the center of circle C and the y-axis. (2) Circle C intersects the y-axis. 选项 A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient. B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient. C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient. D. EACH statement ALONE is sufficient. E. Statements (1) and (2) TOGETHER are NOT sufficient. Answer: E 注释：圆 C 是否与 X 轴相交。 （1）圆 C 的圆心与 X 轴的距离大于与 Y 轴的距离， 无法确定是 否与 X 轴相交。 （2）圆 C 与 Y 轴相交，无法确定是否与 X 轴相交。两个条件同时成立时， 假设圆心为(0, 5)，半径为 2，则圆 C 不与 X 轴相交，如果半径为 6，则与 X 轴相交，所以条 件补充，选择 E。 Question: 11 题目 Mary purchased three sweatersa red one, a blue one, and a green one. If the red sweater was the most expensive and the green sweater was the least expensive, what was the range of the prices of the three sweaters? (1) The price of the red sweater was $30 more than the price of the blue sweater. (2) The price of the green sweater was $20 less than the price of the blue sweater. 选项 A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient. B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient. C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient. D. EACH statement ALONE is sufficient. E. Statements (1) and (2) TOGETHER are NOT sufficient. Answer: C 注释： 三件毛衣， 红色最贵， 绿色最便宜， 求极差， 则需要得知红色和绿色毛衣的价格。 （1） 更多 GMAT 最新考试资料 QQ:3265616327 红色毛衣比蓝色毛衣贵 30 美元。 （2）绿色毛衣比蓝色毛衣便宜 20 美元。只有当两个条件同 时成立才能求得极差=30+20=50，所以选择 C。 Question: 12 题目 If a person is to be selected at random from the students and teachers at a meeting, what is the probability that the person selected will be a teacher? (1) There is a total of 18 students and teachers at the meeting. (2) The number of students at the meeting is 8 times the number of teachers at the meeting. 选项 A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient. B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient. C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient. D. EACH statement ALONE is sufficient. E. Statements (1) and (2) TOGETHER are NOT sufficient. Answer: B 注释：在会议上，从学生和老师中任意选一个人，是老师的概率为？（1）老师加学生的总 人数为 18。 没给出老师的人数所以无法求概率。（2） 学生人数是老师的 8 倍。 设老师人数 X， 则总人数为 9x，则任意选一人是老师的概率=x/9x=1/9。条件充分，所以选择 B。 Question: 13 题目 During a fund-raiser, School Y received a total of 60 donations. What was the total amount of the donations that School Y received during the fund-raiser? (1) The median amount of the donations that School Y received during the fund-raiser was $120. (2) The average (arithmetic mean) amount of the donations that School Y received during the fund-raiser was 110 percent of the median amount of the donations that School Y received during the fund-raiser. 选项 A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient. B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient. C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient. D. EACH statement ALONE is sufficient. E. Statements (1) and (2) TOGETHER are NOT sufficient. Answer: C 更多 GMAT 最新考试资料 QQ:3265616327 注释：在募捐活动中学校 Y 一共收到 60 份捐款，则总金额为？（1）捐款金额的中位数为 120 美元，不知道平均数无法求总数。 （2）捐款金额的平均数占中位数的 110%。只有当两 个条件同时成立时，能求得平均数=120*110%=132，总数=132*60=7920，选择 C。 Question: 14 题目 What was the median of the numbers of shirts sold daily by a certain clothing store for the last 13 days? (1) 43 shirts were sold by the clothing store on each of the last 7 days. (2) A total of 400 shirts were sold by the clothing store during the last 13 days. 选项 A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient. B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient. C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient. D. EACH statement ALONE is sufficient. E. Statements (1) and (2) TOGETHER are NOT sufficient. Answer: A 注释：13 天销售的衬衫数量的中位数为？（1）前 7 天每天卖出 43 件衬衫，可以确定中位 数为 43。 （2）13 天共卖出 400 件，只能确定平均数，无法求中位数。所以选择 A。 Question: 15 题目 A stores sales revenue in the first quarter of 2003 was what percent of its sales revenue in the last quarter of 2002 ? (1) The stores sales revenue in the first quarter of 2003 was $8,500 less than its sales revenue in the last quarter of 2002. (2) The stores sales revenue in the last quarter of 2002 was 125 percent of its sales revenue in the first quarter of 2003. 选项 A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient. B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient. C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient. D. EACH statement ALONE is sufficient. E. Statements (1) and (2) TOGETHER are NOT sufficient. Answer: B 注释：2003 年第一季度的收益占 2002 年最后一个季度收益的百分比？（1）2003 年第一季 更多 GMAT 最新考试资料 QQ:3265616327 度的收益比 2002 年最后一个季度收益少 8500 美元，无法求百分比。 （2）2002 年第四季度 的收益占 2003 年第一个季度的 125%，则 2003 年第一季度的收益占 2002 年最后一个季度 收益的百分比=100/125=4/5=80%。所以选择 B。 Question: 16 题目 At a certain appliance store, two successive markdowns were applied to the original price of a television. The price of the television after the two markdowns was what percent of the original price? (1) The original price of the television was $500. (2) Each markdown reduced the price of the television by 10 percent of the price preceding the markdown. 选项 A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient. B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient. C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient. D. EACH statement ALONE is sufficient. E. Statements (1) and (2) TOGETHER are NOT sufficient. Answer: B 注释：一家电器店对电视机进行两次减价，减价后的价格占原价的百分之几？（1）电视机 原价是 500 美元，不知道折扣，所以无法求减价后的价格。 （2）每次减价都是前一次价格的 10%，所以减价后的价格占原价百分比=90%*90%=81%。所以选择 B Question: 17 题目 The total of the prices of the cameras and radios sold at Store R last year was $24,300. How many radios were sold at Store R last year? (1) The average (arithmetic mean) price of the radios sold at Store R last year was $25. (2) The total of the prices of the cameras sold at Store R last year was $3,200. 选项 A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient. B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient. C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient. D. EACH statement ALONE is sufficient. E. Statements (1) and (2) TOGETHER are NOT sufficient. Answer: C 更多 GMAT 最新考试资料 QQ:3265616327 注释：去年 R 店相机和收音机的总销售额为 24300 美元，则去年收音机销售数量为？（1） 去年收音机的平均价为 25 美元。 （2）去年相机总销售额为 3200 美元。只有当两个条件同时 成立时，求得收音机销售数量=(24300-3200)/25=844，所以选择 C。 Question: 18 题目 By what percent was the price of item X discounted? (1) The price of item X was reduced from $65.00 to $61.75. (2) The price of item X was discounted by $3.25. 选项 A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient. B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient. C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient. D. EACH statement ALONE is sufficient. E. Statements (1) and (2) TOGETHER are NOT sufficient. Answer: A 注释：X 项目的折扣的百分数？（1）X 项目从 65 美元降到 61.75 美元，所以折扣 =(65-61.75)/65*100%=5%，条件充分。 （2）X 项目降价 3.25 美元，不知道原价所以无法求折 扣。选择 A。 Question: 19 题目 A nut is to be selected at random from a certain bowl that contains only three kinds of nuts: cashews, almonds, and walnuts. What is the probability that the nut selected will be a cashew? (1) The total number of cashews and walnuts in the bowl is 140. (2) The number of cashews in the bowl is 5 times the total number of almonds and walnuts in the bowl. 选项 A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient. B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient. C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient. D. EACH statement ALONE is sufficient. E. Statements (1) and (2) TOGETHER are NOT sufficient. Answer: B 注释： 从装有三种坚果的碗里 （腰果杏仁和核桃） 任意选出一个坚果， 是腰果的概率为？ （1） 更多 GMAT 最新考试资料 QQ:3265616327 腰果和核桃的总数为 140，不知道腰果和总数，无法求概率。 （2）腰果的数量是杏仁核桃的 5 倍，可以求得选出腰果的概率=5(5+1)=5/6，所以选择 B。 Question: 20 题目 Each of the people in a certain survey indicated a preference for either Brand X or Brand Y. What percent of those surveyed were females who preferred Brand X ? (1) 30 percent of those surveyed were males. (2) Of the females surveyed, 45 percent preferred Brand X. 选项 A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient. B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient. C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient. D. EACH statement ALONE is sufficient. E. Statements (1) and (2) TOGETHER are NOT sufficient. Answer: C 注释： 调查的每个人选择喜欢 X 牌子或 Y 牌子， 喜欢 X 牌子的女性占比为？ （1） 男性占 30%。 （2）女性中 45%喜欢 X 牌子。只有当两个牌子同时成立时，求得喜欢 X 牌子的女性占比= （1-70%）*45%=31.5%。所以选择 C。 Question: 21 题目 If Company X has 5 divisions and no employee of Company X is in more than one division, what is the total number of employees of the 5 divisions of Company X ? (1) The average (arithmetic mean) number of employees per division for the 5 divisions of Company X is 1,400. (2) The median number of employees in the 5 divisions of Company X is 1,400. 选项 A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient. B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient. C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient. D. EACH statement ALONE is sufficient. E. Statements (1) and (2) TOGETHER are NOT sufficient. Answer: A 注释：X 公司有 5 个部门，每个同事都只属于一个部门，那总共有多少人？ （1）5 个部门 的平均数为 1400，可求得总人数=1400*5=7000。 （2）5 个部门的中位数为 1400，无法求总 人数。所以选择 A。 更多 GMAT 最新考试资料 QQ:3265616327 Question: 22 题目 Alicia bought x shares of Stock X and y shares of Stock Y. What was the average (arithmetic mean) price per share of the x + y shares that Alicia bought? (1) The total price of the x shares of Stock X was $3,660 and the total price of the y shares of Stock Y was $5,300. (2) The number of shares of Stock X that Alicia bought was 1.5 times the number of shares of Stock Y that Alicia bought. 选项 A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient. B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient. C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient. D. EACH statement ALONE is sufficient. E. Statements (1) and (2) TOGETHER are NOT sufficient. Answer: E 注释：买了 X 股 x 份，Y 股 y 份，平均价格为？（1）X 股总价为 3660 美元，Y 股总价为 5300 美元。 （2）x 是 y 的 1.5 倍。因为不知道 x 和 y 的具体值，所以无法根据上述条件计算平均 价格，选择 E。 Question: 23 题目 What is the probability that two radios picked at random and without replacement from a certain shipment of 25 radios will both be defective? (1) The probability that one radio picked at random from the shipment will be defective is 0.08. (2) The shipment contains two defective radios. 选项 A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient. B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient. C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient. D. EACH statement ALONE is sufficient. E. Statements (1) and (2) TOGETHER are NOT sufficient. Answer: D 注释：从 25 个收音机中任意选出 2 个都是瑕疵品的概率为？（1）从 25 个收音机中任意选 出 1 个是瑕疵品的概率为 0.08，即 1/25，所以任意选出 2 个都是瑕疵品的概率 =1/25*1/24=1/600。 （2）这批货有 2 个 瑕疵品，同上，可求概率。所以选择 D。 更多 GMAT 最新考试资料 QQ:3265616327 Question: 24 题目 How much did Julian earn last year? (1) Julian earned 5 percent more last year than he earned the year before. (2) Julian earned $1,500 more last year than he earned the year before. 选项 A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient. B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient. C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient. D. EACH statement ALONE is sufficient. E. Statements (1) and (2) TOGETHER are NOT sufficient. Answer: C 注释：Julian 去年赚了多少钱？（1）比前年多赚 5%。 （2）比前年多赚 1500 美元。只有两 个 条 件 同 时 成 立 时 ， 可 求 得 前 年 的 金 额 =1500/5%=300