这题比较简单。 这么考虑,人数被4除余3,被5除余3,问被6除余几?
1040 1040 则此数为: 23 则被6除余5
11. If x and y are positive integers such that x=8y+12,what is the greatest common divisor of x and y?
1) x=12u,where u is an integer
2) y=12z,where z is 解答:由题知: x=4(2y+3)
由(1)知: x=12u 则y=3k k is an integer. x=12(2k+1) 则x,y最大公因子不能确定.
由(2)知: y=12z 则x=12(6z+1) ,因此x,y的公因子是12。
这题我认为选Ban integer
12. 2^100-22^96, 问其最大的质因子是几?(答案为5)
2^100-22^96,肯定是题目有误,可能是2^100-2^96. 2^96(2^4-1)------2^96*3*5, 因此为5。
13. The possibility that the value of Stock A will increase is 0.34 and the possibility that stock B will increase is0.68 What is the biggest possibility that neither will happen? (I am not sure about the numbers.)
I am not very sure if I was correct for this question, therefore I prefer not to mislead you. However, the answer is absolutely not (1-0.34)*(1-0.68).
概率P=满足某个条件的所有可能情况数量/所有可能情况数量
性质 0=1
a1,a2为两两不相容的事件(即发生了a1,就不会发生a2)
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