1、GRE数学难题解析,李鼎 南京新东方学校,1. On a certain number line, if -7 is a distance of 4 from n and 7 is a distance of 18 from n then n= (A) 25 (B) 11 (C)- 3 (D) 11 (E)-11,7 is a distance of 18 from n:7到n的距离是187是18到n的距离:7 is the distance of 18 from n,2. How many positive integers less than 20 are equal to the sum
2、 of a positive multiple of 3 and a positive multiple of 4? (A) Two (B) Five (C) Seven (D) Ten (E) Nineteen,3X+4Y20,穷举法(3,6,9,12,15)+(4,8,12,16)20,注意19,d=7.56872 and d1 is the decimal expression for d rounded to the nearest thousandth. 3. The number of decimal places where d and d1 differ 4,B(小于)roun
3、d:四舍五入,d1=7.569,x y and xy0 4. (x+y)/x (x+y)/y,D简化成为y/x和x/y相比,xy0,0xy,x0y(x+y0,x+y0),5. A positive integer with exactly two different divisors greater than 1 must be (A) a prime (B) an even integer (C) a multiple of 3 (D) the square of a prime (E) the square of an odd integer,不要找反例,而是找选项是否包含所有具有这个性质
4、的数,6. Each of the following numbers has two digits blotted out. Which of the numbers could be the number of hours in x days, where x is an integer? (A)25,06 (B)50,26 (C)56,02 (D)62,50 (E)65,20,能被4整除的数,后两位一定能被4整除24*X然后再看后结果两位数,太麻烦,D,一定不能根据图的表象来判断除非有drawn to scale,8. 4对男女,每对中有1男1女,从每对中选出1人,选出2男2女的概率是多少?,4个男的概率=1/16,4个女的也是3男1女的概率=1/16*4=1/4,3女1男也是2男2女的概率是1-1/16*2-1/4*2=3/82男2女的组合是:C42=6,9.有3个打字员为4家公司服务,如果4家公司各有1份文件要录入,他们只能找到这3个打字员录入,且各公司对打字员的要求是随机的。问每个打字员都收到文件的概率是多少?,4份文件给3个人打,总可能为34=81有两份文件打的人:C31,这两份文件的组合为C42,剩下两人的文件P22概率为C31*C42*P22/81=36/81=4/9,