【Help】求助三道新Prep数学题目

bella0727

Thanks!


1. For every positive even integer n, the function h(n) is defined to be the product of all the even integers from 2 to n, inclusive. If p is the smallest prime factor of h(100)+1, then p is?  

(Options: between 2 and 10, between 10and20, between 20and30, between 30and40, greater than 40)


2. A certain city with a population of 132000 is to be divided into 11 voting districts, and no districts is to have a population that is more than 10% greater than the population of any other district. What is the minimum possible population that the least populated district could have?


(Options: 10700, 10800, 10900, 11000, 11100)


3. How many ways to arrange 5 people into 1 round table so that in each case each one is sitting a different position relative to another person?


(Ans: 24)