1.What is the value of 2(0(19))+((20)1)9?(A) 0 (B) 1 (C) 2 (D) 3 (E) 4译文:2(0(19))+((20)1)9的值是多少?解原式=20+19=2,故(C)正确.2. What is the hundreds digit of (20!-15!)?(A) 0 (B) 1 (C) 2 (D) 4 (E) 5译文:(20!-15!)的百位数是多少?解20!的标准分解式中含有[20/5]=4个5, 15!的标准分解式中含有[15/5]=3个5,即它们的最后三位数均为0,从而(20!-15!)的百位数是0,故(A)正确.3. Ana and Bonita were born on the same date in different years, n years apart. Last year Ana was 5 times as old as Bonita.This year Ana’s age is the square of Bonita’s age. What is n?(A) 3 (B) 5 (C) 9 (D) 12 (E)
这是今年美国数学竞赛(高三年级)在中国统一使用的考试B卷.1.Alicia had two containers.The first was 5/6 full of water and the second was empty.She poured all the water from the first container into the second container,at which point the second container was 3/4 full of water.What is the ratio of the volume of the smaller container to the volume of the larger container?
1.Carlos took 70%of a whole pie.Maria took one third of the remainder.What portion of the original pie was left?(A)10%(B)15%(C)20%(D)30%(E)35%译文卡洛斯取走了一整块派的70%,玛利亚取走了剩余的三分之一.问这块派还剩下多少?