GMAT数学备考资料：练习+讲解（8）
<p> 下面<span word="GMAT">GMAT</span>思为大家整理了<span word="GMAT">GMAT</span>数学备考资料：练习+讲解（8），供考生们参考，以下是详细内容。</p><p> 6、<span word="If">If</span> <span word="x">x</span> <span word="and">and</span> <span word="y">y</span> <span word="are">are</span> <span word="integers">integers</span> <span word="and">and</span> <span word="xy">xy</span>0, <span word="what">what</span> <span word="is">is</span> <span word="the">the</span> <span word="remainder">remainder</span> <span word="when">when</span> <span word="x">x</span> <span word="is">is</span> <span word="divided">divided</span> <span word="by">by</span> <span word="y">y</span>?</p><p> <span word="when">when</span> <span word="x">x</span> <span word="is">is</span> <span word="divided">divided</span> <span word="by">by</span> 2<span word="y">y</span>, <span word="the">the</span> <span word="remainder">remainder</span> <span word="is">is</span> 4;</p><p> <span word="when">when</span> <span word="x">x</span>+<span word="y">y</span> <span word="is">is</span> <span word="divided">divided</span> <span word="by">by</span> <span word="y">y</span>, <span word="the">the</span> <span word="remainder">remainder</span> <span word="is">is</span> 4;</p><p> 【答案】<span word="B">B</span></p><p> 【思路】<span word="X">X</span>=2<span word="YK">YK</span>+4 举反例：当<span word="Y">Y</span>=4，<span word="X">X</span>=4时，<span word="X">X</span>/<span word="Y">Y</span>的余数为0。当<span word="Y">Y</span>=3，<span word="X">X</span>=10时,<span word="X">X</span>/<span word="Y">Y</span>的余数为1. <span word="X">X</span>+<span word="Y">Y</span>=<span word="YK">YK</span>+4 则<span word="X">X</span>=<span word="Y">Y</span>+4, 所以<span word="X">X</span>/<span word="Y">Y</span>的余数为4</p><p> 7、<span word="One">One</span> <span word="set">set</span> <span word="of">of</span> <span word="numbers">numbers</span> <span word="consists">consists</span> <span word="of">of</span> <span word="consecutive">consecutive</span> <span word="integers">integers</span> <span word="and">and</span> <span word="the">the</span> <span word="least">least</span> <span word="number">number</span> <span word="is">is</span> 3. <span word="How">How</span> <span word="many">many</span> <span word="numbers">numbers</span> <span word="are">are</span> <span word="there">there</span> <span word="in">in</span> <span word="the">the</span> <span word="set">set</span>?</p><p> <span word="The">The</span> <span word="average">average</span> <span word="of">of</span> <span word="all">all</span> <span word="the">the</span> <span word="numbers">numbers</span> <span word="in">in</span> <span word="the">the</span> <span word="set">set</span> <span word="is">is</span> 6;</p><p> <span word="The">The</span> <span word="number">number</span> <span word="of">of</span> <span word="integers">integers</span> <span word="is">is</span> <span word="one">one</span> <span word="more">more</span> <span word="than">than</span> <span word="the">the</span> <span word="range">range</span> <span word="of">of</span> <span word="the">the</span> <span word="set">set</span>.</p><p> 【答案】<span word="A">A</span></p><p> 【思路】设最大的数为<span word="X">X</span>, 则共有个数字, 利用求和公式, /=6, 则<span word="X">X</span>=9, 所以这个集合共有7个数字. <span word="The">The</span> <span word="number">number</span> <span word="of">of</span> <span word="integers">integers</span>为, <span word="one">one</span> <span word="more">more</span> <span word="than">than</span> <span word="the">the</span> <span word="range">range</span> <span word="of">of</span> <span word="the">the</span> <span word="set">set</span>为, 两边一样的，无法求出<span word="X">X</span>.</p><p> 8、1010的<span word="table">table</span>里每个格里只能放-100， 0， 100这3个数中的一个，问<span word="sum">sum</span> <span word="of">of</span> <span word="the">the</span> <span word="table">table</span> <span word="entries">entries</span>0?</p><p> 每一行只有一个是正数;</p><p> 每一列只有一个是正数;</p><p> 【答案】<span word="E">E</span></p><p> 【思路】无论是或, 还是+,都无法确定整个表格的和,因为在每个格中都放0,或100或-100或每一行只有一个是正数100,其他还是可以随便放,可都放0或-100,结果就不同,前者和大于0,后者和小于0.同样地条件一和二都无法确定和的正负情况.</p>
页:
[1]