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  • 學寶教育旗下公務員考試網站
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    每日練習
    2020年浙江公務員考試每日一練:數量關系(2)
    http://www.hrbjintong.com       2019-06-10      來源:浙江公務員考試網
    【字體: 】              
      6月10日更新的2020年浙江公務員考試每日一練是數量關系題,多做公務員考試模擬題練習不僅有利于掌握考點,而且能夠幫助保持題感,潛移默化中熟悉命題規律,提高公務員考試做題準確率。

      1.有3個單位共訂300份《人民日報》,每個單位最少訂99份,最多101份。問一共有多少種不同的訂法?

      A.4

      B.5

      C.6

      D.7

      2.某商店商品,單價為75元,可賣500個,單價每漲1元,就會少賣20個,為了使銷售額最大,那么單價可定為( )。

      A.50元

      B.28元

      C.27元

      D.20元

      3.高速公路收費站對過往車輛的收費標準是:大型車30元/輛、中型車15元/輛、小型車10元/輛。某天,通過收費站的大型車與中型車的數量比是5:6,中型車與小型車的數量比是4:11,小型車的通行費總數比大型車的多270元,這天的收費總額是(  )。

      A.7280元

      B.7290元

      C.7300元

      D.7350元

      4.用10張同樣長的紙條,粘接成一條長61厘米的紙條,如果每個接頭處都重疊1厘米,那么每條紙條長多少厘米?(  )

      A.6

      B.6.5

      C.7

      D.7.5

      5.一汽船往返于兩碼頭間,逆流需要10小時,順流需要6小時。已知船在靜水中的速度為12公里/小時。問水流的速度是多少公里/小時?(  )

      A.2

      B.3

      C.4

      D.5

      【下面是參考答案與解析。如果你認為題目或解析有誤,可點這里給我們糾錯。】

      1.答案: D

      【解析】

      由“每個單位最少訂99份,最多101份”可知,該問題分為兩類,第一類是三個單位訂報紙數分別為:99、100和101,此時對三個單位進行全排列共有訂法:3×2×1=6;第二類是三個單位訂報紙數分別為:100、100和100,此時只有1種訂法,因此總共有訂法:6+1=7,故正確答案為D。

      2.答案: A

      【解析】

      假設銷售額為M,漲價n,則有M=(75+n)(500-20n)=20(25-n)(75+n),M最大時,25-n=75+n,n=-25,即降價25,銷售額最大,此時單價為75-25=50元。故正確答案為A。

      3.答案: B

      【解析】

      根據題干中“通過收費站的大型車與中型車的數量比是5:6,中型車與小型車的比例為4:11”可得,通過收費站的大型車、中型車和小型車的數量比為10:12:33,設大型車、中型車和小型車的數量分別為10y、12y和33y,根據題意可得:33y×10-10y×30=270,解得y=9,因此這天的收費總額為:10y×30+12y×15+33y×10=810y=810×9=7290。故正確答案為B。

      備注:事實上當計算得到y=9時,可以得知這天的收費總額必能被9整除。通過分析選項發現,只有B項能夠被9整除,故正確答案為B。

      4.答案: C

      【解析】

      根據題意,每個接頭處重疊1厘米,10張紙條粘接,共有9個接頭處,則10張紙條總的長度為61+1×9=70(厘米),每條紙條的長度為70÷10=7(厘米),故正確答為C。

      5.答案: B

      【解析】

      根據順水漂流模型公式:(船速+水速)×順水時間=(船速-水速)×逆水時間,可得(12+水速)×6=(12-水速)×10,解得水速=3,故正確答案為B。

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