2. 职称英语
  3. When the positive integer n is divided by 7, the quotient is q and the remainder

When the positive integer n is divided by 7, the quotient is q and the remainder

游客2025-02-23  31
问题 When the positive integer n is divided by 7, the quotient is q and the remainder is 4. When In is divided by 7, the remainder is 1 and the quotient in terms of q is____.
选项 A、q/2
B、q/2+1
C、2q
D、2q+1
E、2q+2
答案 D
解析 做余数题的基本方法是，将“When the positive integer a is divided by d, the quotient is q and the remainder is r.”的表述直接写成a=d×q+r的形式。故本题第一句话可改写为n=7q+4①；本题第二句话中需要求商的值，于是设商为x，则该句可改写为2n=7x+1②；本题最终要用q来表示x，则将①式的n代入②式，求得2(7q+4)=7x+1，整理得x=2q+1，答案为D选项。
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