gmat考試problemsolving復(fù)習(xí)資料(參考版)
2024-08-26 19:55本頁面
【正文】 058amp。058amp。058amp。058amp。005122 Mary purchased 3 theater tickets with an average (arithmetic mean) price of $8. If Mary also purchases a fourth theater ticket with a price of $16, what is the average price of all 4 theater tickets? (A) $4 (B) $6 (C) $8 (D) $10 (E) $12 【答案】 D 【思路】 3 8＝ 24 (24＋ 16)247。005112 [?] In the circle above, PQ is parallel to diameter OR, and OR has length 18. What is the length of minor arc PQ ? (A) (B) (C) (D) (E) 53. 6687!item!187。005111 Circular gears P and Q start rotating at the same time at constant speeds. Gear P makes 10 revolutions per minute, and gear Q makes 40 revolutions per minute. How many seconds after the gears start rotating will gear Q have made exactly 6 more revolutions than gear P ? (A) 6 (B) 8 (C) 10 (D) 12 (E) 15 【答案】 D 【思路】 P每 1分鐘轉(zhuǎn) 10次 = 60/10=6秒 /次 Q每 1分鐘轉(zhuǎn) 40次 = 60/40= /次 假設(shè)在 T秒之後， Q比 P多轉(zhuǎn)了 6圈 (T/6) = (T/) 6 T=12 52. 6641!item!187。005092 Which of the following is an integer? (A) I only (B) II only (C) III only (D) I and II only (E) I, II, and III 51. 6587!item!187。005075 [?] The table above shows the distribution of scores on a geography quiz given to a class of 25 students. Which of the following is closest to the average (arithmetic mean) quiz score for the class? (A) (B) (C) (D) (E) 50. 6541!item!187。004914 A certain city with a population of 132,000 is to be divided into 11 voting districts, and no district is to have a population that is more than 10 percent greater than the population of any other district. What is the minimum possible population that the least populated district could have? (A) 10,700 (B) 10,800 (C) 10,900 (D) 11,000 (E) 11,100 【答案】 D 【思路】假設(shè) the minimum possible population that the least population district could have=x 且假設(shè)其他 10個(gè) voting district的人口 more than10percent x+(x+)x10=132,000 x=11,000 49. 6490!item!187。004836 is between (A) 300 and 400 (B) 400 and 500 (C) 500 and 600 (D) 600 and 700 (E) 700 and 800 48. 6225!item!187。004795 If x ≠ 0, then (A) 1 (B) 0 (C) 1 (D) x (E) |x| / x 47. 6013!item!187。004778 While working alone at their respective constant rates, puter X processes 240 files in 4 hours and puter Y processes 240 files in 8 hours. If all files processed by these puters are the same size, how long would it take the two puters, working at the same time and at their respective constant rates, to process a total of 240 files? (A) 2 hr (B) 2 hr 20 min (C) 2 hr 40 min (D) 6 hr (E) 6 hr 20 min 【答案】 C 【思路】 puter X processes 60 files in1 hour, and puter Y processes 30 files in 1 hour so, X和 Y一起做可以 完成 90 files in 1 hour 若一起完成 240files, 需花費(fèi) T= 240 2290 3＝ hours(2 hr 40 min) 46. 5966!item!187。004763 A certain pany employs 6 senior officers and 4 junior officers. If a mittee is to be created that is made up of 3 senior officers and 1 junior officer, how many different mittees are possible? (A) 8 (B) 24 (C) 58 (D) 80 (E) 210 【答案】 D 【思路】 C(6,3)XC(4,1) =20X4=80 45. 5918!item!187。004705 A mittee of three people is to be chosen from four married couples. What is the number of different mittees that can be chosen if two people who are married to each other cannot both serve on the mittee? (A) 16 (B) 24 (C) 26 (D) 30 (E) 32 【答案】 E 【思路】 作法 1mitte中不能有 couple的組合即 全部的組合 mitte中有 couple的組合 C(8,3)4*6 =5624 =32 (4*6代表將 couple視為一個(gè)人， 有 4個(gè) coule，另外一個(gè) mitte則為其他六個(gè)人選一個(gè) ) 作法 28 6 4 323!??? OOO → 一個(gè)蘿蔔一個(gè)坑，求組合 !!（ 3!是因?yàn)? abc acb bac bca cba cab 是同一種組合） 44. 5871!item!187。004704 Mark bought a set of 6 flower pots of different sizes at a total cost of $. Each pot cost $ more than the next one below it in size. What was the cost, in dollars, of the largest pot? (A) $ (B) $ (C) $ (D) $ (E) $ 【答案】 C 【思路】假設(shè)最小 size cost X 比 X大一個(gè) size=X+,大兩個(gè) size=x+…. 依序 ＝ X+(X+)+(X+)+(X+)+(X+1)+(X+),X= so, the largest pot costs +=$ 43. 5768!item!
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