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        行測數量關系基礎運算問題三:約數與倍數問題

        http://www.cuteteenslut.com       2019-04-29 14:33      來源:公考通
        【字體: 】              

          行測中的基礎運算問題專指一些簡單的數學計算或應用問題。它是數學運算的主要考查題型之一,目前作為單獨考點的可能性雖然較低,經常與其他知識點結合起來考查。常見題型有:純計算題、數列與平均數、約數與倍數、周期問題等。


          本次給大家具體介紹的是約數與倍數問題。


          一、要點簡介


          a÷b=c,整數a除以整數b(b≠0)所得的商正好是整數c而沒有余數,我們就說a能被b整除,或b能整除a。a稱為b與c的倍數,b與c稱為a的約數。


          兩個或多個整數公有的約數叫作它們的公約數。兩個或多個整數的公約數里最大的那一個叫作它們的最大公約數。


          兩個或多個整數公有的倍數叫作它們的公倍數。兩個或多個整數的公倍數里最小的那一個叫作它們的最小公倍數。


          二、經典例題


          【例1】


          某政府機關內甲、乙兩部門通過門戶網站定期向社會發布消息,甲部門每隔2天、乙部門每隔3天有一個發布日,節假日無休。則甲、乙兩部門在一個自然月內最多有幾天同時為發布日(  )


          A.5                        B.2                   C.6                          D.3


          【解析】


          甲部門每隔2天相當于每3天發布一次,乙部門每隔3天相當于每4天發布一次,3和4的最小公倍數是12,則甲、乙12天就會同時發布一次。一個自然月最多有31天,假設甲、乙兩部門1號同時發布一次,該自然月最多還有30天,30÷12=2……6,還可以同時發布兩次。那么一個自然月最多有3天是同時發布消息的。因此D項當選。


          【一本通點睛】


          1.知識點:每隔+1=每;“同時……”一般涉及求最小公倍數。但是該題目除了掌握好以上兩個知識點外,還需要在選擇上注意“1號兩個部門同時發布一次”。


          2.最小公倍數在工程問題、經濟問題中的應用更為廣泛,必須熟練掌握。


          【例2】


          企業某次培訓的員工中有369名來自A部門,412名來自B部門。現分批對所有人進行培訓,要求每批人數相同且批次盡可能少。如果有且僅有一批培訓對象同時包含來自A和B部門的員工,那么該批中有多少人來自B部門(  )


          A.14             B.32            C.57            D.65


          【解析】


          培訓的員工總數為369+412=781,因為要求每批人數相同,所以將781因數分解:781=71×11,又要求批次盡可能少,所以11為批次數。已知有且僅有一批培訓對象同時包含來自A和B部門的員工,所以只有一批71人由兩個部門組合而成,其余每批71人均來自同一部門。B部門的員工可分為:412÷71=5(批)……57(人),所以同時包含來自A和B部門的那批員工中有57人來自B部門。因此C項當選。


          >>> 想刷題?這里有最新版【實戰題庫5600題】,全套10本,每一個知識點都能夠被反復練習



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