两道数学题,

saibei008

两道数学题,百思不得其解,请教大家.多谢

1.There are between 100 and 110 cards in a collection of cards. If they are counted out 3 at a time, there are 2 left over ,but if they are counted out 4 at a time, there is 1 left over. How many cards are in the collection?(惭愧,这题目小弟都看不明白,请高手解释一下,答案是101.)

2. What is the least possible product of 4 different intergers, each of which has a value between -5 and 10, inclusive? 答案有-5040,-3600,-720,我认为是第一个正确,但书上答案是第二个.不过如果用-5乘8,9,10,结果不正好是-3600吗?

bfghdggf

1，其实是问100到110之间 被3除余2，被4除余1 的数。 那就是101了。
我是带入法算的，100到110之间被3除余2 的数有：101，104，107，110.

2，是问最小，不是问绝对值最大。所以是： 用-5乘8,9,10= -3600

saibei008

谢谢楼主！！！