这里有一道gmat的题,不是很明白,Foranyintegerkgreaterthan1,thesymbolk*denotestheproductofallthefractionsoftheform,wheretisanintegerbetween1andk,inclusive.Whatisthevalueof

Question

这里有一道gmat 的题,不是很明白,
For any integer k greater than 1,the symbol k* denotes the product of all the fractions of the form ,where t is an integer between 1 and k,inclusive.What is the value of

Answer 1

CUZ U r using Chinese,I am going to answer in Chinese.
Let's go on.
原题应该是这样的：
For any integer k greater than 1,the symbol k* denotes the product of all the fractions of the form 1/t,where t is an integer between 1 and k,inclusive.What is the value of 5*/4*  


答案是1/5.


解题过程如下：
where t is an integer between 1 and k”从这句话我们判断出t的取值范围为1到k的所有整数（包含1和k);
 正确理解"product",这是乘积的意思;
 “all the fractions of the form 1/t”,以k=5为例,t的取值分别是5、4、3、2、1;则1/t就分别为1/5、1/4、1/3、1/2、1/1;
 "the product of all the fractions of the form 1/t"就是“1/5乘以1/4乘以1/3乘以1/2乘以1/1的积”;
 那么我们可以看出5*/4* =（1/5乘以1/4乘以1/3乘以1/2乘以1/1）除以（1/4乘以1/3乘以1/2乘以1/1）,结果等于1/5.


注："the symbol k* denotes the product of all the fractions of the form 1/t,where t is an integer between 1 and k"表述了k* =(1/k)!