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  • 12月4日數(shù)學(xué)機(jī)經(jīng)解析

    發(fā)布時間:2017-11-30 編輯:少冰

      GRE數(shù)學(xué)滿分是幾乎所有中國考生的既定目標(biāo),而想要確保自己不會在考試中因為一時粗心而丟失分?jǐn)?shù),提前了解可能出現(xiàn)的考點(diǎn)陷阱就是必須做好的準(zhǔn)備工作了。下面是小編為大家整理收集的關(guān)于12月4日數(shù)學(xué)機(jī)經(jīng)的相關(guān)內(nèi)容,歡迎大家的閱讀。

      題目

      1. If k is an integer and 121 < k^2 < 225,then k can have at most how many values?

      A. 3

      B. 4

      C. 5

      D. 6

      E. 7

      答案:D.

      解析:k可以是12,13,14,-12,-13,-14.

      2. Runner A ran 4/5 kilometer and Runner B ran 800 meters.

      Quantity A: The distance that A ran

      Quantity B: The distance that B ran

      A. Quantity A is greater.

      B. Quantity B is greater.

      C. The two quantities are equal.

      D. The relationship cannot be determined from the information given.

      答案:C

      解析:Quantity A=(4/5)*1000=800=Quantity B。

      3. x < y < z,

      Quantity A: (x + y + z)/3

      Quantity B: y

      A. Quantity A is greater.

      B. Quantity B is greater.

      C. The two quantities are equal.

      D. The relationship cannot be determined from the information given.

      答案:D

      解析:已知條件太少,AB大小都可以根據(jù)不同數(shù)據(jù)列出可能答案,因此無法判斷準(zhǔn)確唯一解,選D。

      4. A reading list for a humanities course consists of 10 books, of which 4 are biographies and the rest are novels. Each student is required to read a selection of 4 books from the list, including 2 or more biographies. How many selections of 4 books satisfy the requirements?

      A. 90

      B. 115

      C. 130

      D. 144

      E. 195

      答案:D

      解析:10本書中,4本biographies,6本novel,F(xiàn)在biographies要選2本以上。

      思路1:正面解法

      所以可能情形有bio選2本(配nov選2)+bio選3本(配nov選1本)+bio選4本(配nov選0本)。

      即(C4取2乘C6取2)+(C4取3乘C6取1)+(C4取4乘C6取0)=115

      思路2:反向解法

      用全部扣除bio選0本(配nov選4)再扣bio選1本(配nov選3)

      利用C10取4-C4取0*C6取4-C4取1*C6取3 = 210 - 15 - 80 = 115

      5. In a graduating class of 236 students, 142 took algebra and 121 took chemistry. What is the greatest possible number of students that could have taken both algebra and chemistry?

      答案:121

      解析:可能不少人會用142+121-236=27的思路來解題,但問題是least possible number,同時也沒有表明只能選兩門課,因此有可能還有其他課可選,因此正確答案是眼前兩個交集的最大數(shù),也就是142和121取最小數(shù),121個學(xué)chemistry的都選了algebra。所以為121。

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